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Acronym
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zee (old: hio)
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Name
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hecatonicosoctaexon,
heptacross (β7),
aerozett(id),
heptapetal antiprism,
vertex figure of ek,
Gosset polytope 41,1,
lattice C7 contact polytope (span of its small roots)
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Circumradius
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1/sqrt(2) = 0.707107
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Inradius
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1/sqrt(14) = 0.267261
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Lace city
in approx. ASCII-art
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 ©
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o -- o3o3o3o3o4o (point)
o t o -- x3o3o3o3o4o (gee)
o -- o3o3o3o3o4o (point)
where:
o = o3o3o3o4o (point)
t = x3o3o3o4o (tac)
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o3o3o3o3o x3o3o3o3o
o3o3o3o3x o3o3o3o3o
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x o3o3o3o o x3o3o3o
o o3o3o3x x o3o3o3o
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x3o o3o3o o3o x3o3o
o3o o3o3x o3x o3o3o
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t
o S o
T
where:
o = o4o o3o3o (point)
S = x4o o3o3o ({4})
t = o4o x3o3o (perp tet)
T = o4o o3o3x (perp dual tet)
|
t
o O o
T
where:
o = o3o o3o4o (point)
t = x3o o3o4o ({3})
T = o3x o3o4o (dual {3})
O = o3o x3o4o (perp oct)
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Coordinates
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(1/sqrt(2), 0, 0, 0, 0, 0, 0) & all permutations, all changes of sign
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Volume
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sqrt(2)/630 = 0.0022448
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Surface
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sqrt(7)/45 = 0.058794
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Rel. Roundness
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6 π3 sqrt(7)/2401 = 20.500183 %
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Dual
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hept
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Dihedral angles
(at margins)
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- at hix between hop and hop: arccos(-5/7) = 135.584691°
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Face vector
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14, 84, 280, 560, 672, 448, 128
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Confer
|
- more general:
-
xPo3o...o3o4o
- related segmentoexons:
-
geepy
taccasc
hexete
octepe
squix
- general polytopal classes:
-
Wythoffian polyexa
orthoplex
noble polytopes
segmentoexa
fundamental lace prisms
Coxeter-Elte-Gosset polytopes
- analogs:
-
regular orthoplex On
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External
links
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Incidence matrix according to Dynkin symbol
x3o3o3o3o3o4o
. . . . . . . | 14 ♦ 12 | 60 | 160 | 240 | 192 | 64
--------------+----+----+-----+-----+-----+-----+----
x . . . . . . | 2 | 84 ♦ 10 | 40 | 80 | 80 | 32
--------------+----+----+-----+-----+-----+-----+----
x3o . . . . . | 3 | 3 | 280 ♦ 8 | 24 | 32 | 16
--------------+----+----+-----+-----+-----+-----+----
x3o3o . . . . ♦ 4 | 6 | 4 | 560 ♦ 6 | 12 | 8
--------------+----+----+-----+-----+-----+-----+----
x3o3o3o . . . ♦ 5 | 10 | 10 | 5 | 672 | 4 | 4
--------------+----+----+-----+-----+-----+-----+----
x3o3o3o3o . . ♦ 6 | 15 | 20 | 15 | 6 | 448 | 2
--------------+----+----+-----+-----+-----+-----+----
x3o3o3o3o3o . ♦ 7 | 21 | 35 | 35 | 21 | 7 | 128
x3o3o3o3o3o4/3o
. . . . . . . | 14 ♦ 12 | 60 | 160 | 240 | 192 | 64
----------------+----+----+-----+-----+-----+-----+----
x . . . . . . | 2 | 84 ♦ 10 | 40 | 80 | 80 | 32
----------------+----+----+-----+-----+-----+-----+----
x3o . . . . . | 3 | 3 | 280 ♦ 8 | 24 | 32 | 16
----------------+----+----+-----+-----+-----+-----+----
x3o3o . . . . ♦ 4 | 6 | 4 | 560 ♦ 6 | 12 | 8
----------------+----+----+-----+-----+-----+-----+----
x3o3o3o . . . ♦ 5 | 10 | 10 | 5 | 672 | 4 | 4
----------------+----+----+-----+-----+-----+-----+----
x3o3o3o3o . . ♦ 6 | 15 | 20 | 15 | 6 | 448 | 2
----------------+----+----+-----+-----+-----+-----+----
x3o3o3o3o3o . ♦ 7 | 21 | 35 | 35 | 21 | 7 | 128
o3o3o *b3o3o3o3x
. . . . . . . | 14 ♦ 12 | 60 | 160 | 240 | 192 | 32 32
-----------------+----+----+-----+-----+-----+-----+------
. . . . . . x | 2 | 84 ♦ 10 | 40 | 80 | 80 | 16 16
-----------------+----+----+-----+-----+-----+-----+------
. . . . . o3x | 3 | 3 | 280 ♦ 8 | 24 | 32 | 8 8
-----------------+----+----+-----+-----+-----+-----+------
. . . . o3o3x ♦ 4 | 6 | 4 | 560 ♦ 6 | 12 | 4 4
-----------------+----+----+-----+-----+-----+-----+------
. . . o3o3o3x ♦ 5 | 10 | 10 | 5 | 672 | 4 | 2 2
-----------------+----+----+-----+-----+-----+-----+------
. o . *b3o3o3o3x ♦ 6 | 15 | 20 | 15 | 6 | 448 | 1 1
-----------------+----+----+-----+-----+-----+-----+------
o3o . *b3o3o3o3x ♦ 7 | 21 | 35 | 35 | 21 | 7 | 64 *
. o3o *b3o3o3o3x ♦ 7 | 21 | 35 | 35 | 21 | 7 | * 64
xo3oo3oo3oo3oo3ox&#x → height = sqrt(2/7) = 0.534522
(hop || inv hop)
o.3o.3o.3o.3o.3o. & | 14 ♦ 6 6 | 15 45 | 20 80 60 | 15 75 150 | 6 36 90 60 | 1 7 21 35
------------------------+----+-------+--------+------------+------------+---------------+-----------
x. .. .. .. .. .. & | 2 | 42 * ♦ 5 5 | 10 20 10 | 10 30 40 | 5 20 35 20 | 1 5 11 15
oo3oo3oo3oo3oo3oo&#x | 2 | * 42 ♦ 0 10 | 0 20 20 | 0 20 60 | 0 10 40 30 | 0 2 10 20
------------------------+----+-------+--------+------------+------------+---------------+-----------
x.3o. .. .. .. .. & | 3 | 3 0 | 70 * ♦ 4 4 0 | 6 12 6 | 4 12 12 4 | 1 4 6 5
xo .. .. .. .. ..&#x & | 3 | 1 2 | * 210 ♦ 0 4 4 | 0 6 18 | 0 4 16 12 | 0 10 5 1
------------------------+----+-------+--------+------------+------------+---------------+-----------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 | 4 0 | 70 * * ♦ 3 3 0 | 3 6 3 0 | 1 3 3 1
xo3oo .. .. .. ..&#x & ♦ 4 | 3 3 | 1 3 | * 280 * ♦ 0 3 3 | 0 3 6 3 | 0 1 3 4
xo .. .. .. .. ox&#x ♦ 4 | 2 4 | 0 4 | * * 210 ♦ 0 0 6 | 0 0 6 6 | 0 0 2 6
------------------------+----+-------+--------+------------+------------+---------------+-----------
x.3o.3o.3o. .. .. & ♦ 5 | 10 0 | 10 0 | 5 0 0 | 42 * * | 2 2 0 0 | 1 2 1 0
xo3oo3oo .. .. ..&#x & ♦ 5 | 6 4 | 4 6 | 1 4 0 | * 210 * | 0 2 2 0 | 0 1 2 1
xo3oo .. .. .. ox&#x & ♦ 5 | 4 6 | 1 9 | 0 2 3 | * * 420 | 0 0 2 2 | 0 0 1 3
------------------------+----+-------+--------+------------+------------+---------------+-----------
x.3o.3o.3o.3o. .. & ♦ 6 | 15 0 | 20 0 | 15 0 0 | 6 0 0 | 14 * * * | 1 1 0 0
xo3oo3oo3oo .. .. & ♦ 6 | 10 5 | 10 10 | 5 10 0 | 1 5 0 | * 84 * * | 0 1 1 0
xo3oo3oo .. .. ox&#x & ♦ 6 | 7 8 | 4 16 | 1 8 6 | 0 2 4 | * * 210 * | 0 0 1 1
xo3oo .. .. oo3ox&#x ♦ 6 | 6 9 | 2 18 | 0 6 9 | 0 0 6 | * * * 140 | 0 0 0 2
------------------------+----+-------+--------+------------+------------+---------------+-----------
x.3o.3o.3o.3o.3o. & ♦ 7 | 21 0 | 35 0 | 35 0 0 | 21 0 0 | 7 0 0 0 | 2 * * *
xo3oo3oo3oo3oo ..&#x & ♦ 7 | 15 6 | 20 15 | 15 20 0 | 6 15 0 | 1 6 0 0 | * 14 * *
xo3oo3oo3oo .. ox&#x & ♦ 7 | 11 10 | 10 25 | 5 20 10 | 1 10 10 | 0 2 5 0 | * * 42 *
xo3oo3oo .. oo3ox&#x & ♦ 7 | 9 12 | 5 30 | 1 16 18 | 0 3 18 | 0 0 3 4 | * * * 70
qo ox3oo3oo3oo3oo4oo&#zx → height = 0
(tegum sum of q-line and perp gee)
(tegum product of q-line with gee)
o. o.3o.3o.3o.3o.4o. | 2 * ♦ 12 0 | 60 0 | 160 0 | 240 0 | 192 0 | 64
.o .o3.o3.o3.o3.o4.o | * 12 ♦ 2 10 | 20 40 | 80 80 | 160 80 | 160 32 | 64
------------------------+------+-------+---------+---------+---------+--------+----
oo oo3oo3oo3oo3oo4oo&#x | 1 1 | 24 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32
.. .x .. .. .. .. .. | 0 2 | * 60 ♦ 2 8 | 16 24 | 48 32 | 64 16 | 32
------------------------+------+-------+---------+---------+---------+--------+----
.. ox .. .. .. .. ..&#x | 1 2 | 2 1 | 120 * ♦ 8 0 | 24 0 | 32 0 | 16
.. .x3.o .. .. .. .. | 0 3 | 0 3 | * 160 ♦ 2 6 | 12 12 | 24 8 | 16
------------------------+------+-------+---------+---------+---------+--------+----
.. ox3oo .. .. .. ..&#x ♦ 1 3 | 3 3 | 3 1 | 320 * ♦ 6 0 | 12 0 | 8
.. .x3.o3.o .. .. .. ♦ 0 4 | 0 6 | 0 4 | * 240 ♦ 2 4 | 8 4 | 8
------------------------+------+-------+---------+---------+---------+--------+----
.. ox3oo3oo .. .. ..&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 | 480 * | 4 0 | 4
.. .x3.o3.o3.o .. .. ♦ 0 5 | 0 10 | 0 10 | 0 5 | * 192 | 2 2 | 4
------------------------+------+-------+---------+---------+---------+--------+----
.. ox3oo3oo3oo .. ..&#x ♦ 1 5 | 5 10 | 10 10 | 10 5 | 5 1 | 384 * | 2
.. .x3.o3.o3.o3.o .. ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 64 | 2
------------------------+------+-------+---------+---------+---------+--------+----
.. ox3oo3oo3oo3oo ..&#x ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 | 128
oxo3ooo3ooo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo gee || pt)
o..3o..3o..3o..3o..4o.. & | 2 * ♦ 12 0 | 60 0 | 160 0 | 240 0 | 192 0 | 64
.o.3.o.3.o.3.o.3.o.4.o. | * 12 ♦ 2 10 | 20 40 | 80 80 | 160 80 | 160 32 | 64
------------------------------+------+-------+---------+---------+---------+--------+----
oo.3oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | 24 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32
.x. ... ... ... ... ... | 0 2 | * 60 ♦ 2 8 | 16 24 | 48 32 | 64 16 | 32
------------------------------+------+-------+---------+---------+---------+--------+----
ox. ... ... ... ... ... & | 1 2 | 2 1 | 120 * ♦ 8 0 | 24 0 | 32 0 | 16
.x.3.o. ... ... ... ... | 0 3 | 0 3 | * 160 ♦ 2 6 | 12 12 | 24 8 | 16
------------------------------+------+-------+---------+---------+---------+--------+----
ox.3oo. ... ... ... ...&#x & ♦ 1 3 | 3 3 | 3 1 | 320 * ♦ 6 0 | 12 0 | 8
.x.3.o.3.o. ... ... ... ♦ 0 4 | 0 6 | 0 4 | * 240 ♦ 2 4 | 8 4 | 8
------------------------------+------+-------+---------+---------+---------+--------+----
ox.3oo.3oo. ... ... ...&#x & ♦ 1 4 | 4 6 | 6 4 | 4 1 | 480 * | 4 0 | 4
.x.3.o.3.o.3.o. ... ... ♦ 0 5 | 0 10 | 0 10 | 0 5 | * 192 | 2 2 | 4
------------------------------+------+-------+---------+---------+---------+--------+----
ox.3oo.3oo.3oo. ... ...&#x & ♦ 1 5 | 5 10 | 10 10 | 10 5 | 5 1 | 384 * | 2
.x.3.o.3.o.3.o.3.o. ... ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 64 | 2
------------------------------+------+-------+---------+---------+---------+--------+----
ox.3oo.3oo.3oo.3oo. ...&#x & ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 | 128
ooo3ooo3ooo *b3ooo3ooo3oxo&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo gee || pt)
o..3o..3o.. *b3o..3o..3o.. | 1 * * ♦ 12 0 0 | 60 0 0 | 160 0 0 | 240 0 0 | 192 0 0 0 | 32 32 0 0
.o.3.o.3.o. *b3.o.3.o.3.o. | * 12 * ♦ 1 10 1 | 10 40 10 | 40 80 40 | 80 80 80 | 80 16 16 80 | 16 16 16 16
..o3..o3..o *b3..o3..o3..o | * * 1 ♦ 0 0 12 | 0 0 60 | 0 0 160 | 0 0 240 | 0 0 0 192 | 0 0 32 32
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
oo.3oo.3oo. *b3oo.3oo.3oo.&#x | 1 1 0 | 12 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 | 80 0 0 0 | 16 16 0 0
... ... ... ... ... .x. | 0 2 0 | * 60 * ♦ 1 8 1 | 8 24 8 | 24 32 24 | 32 8 8 32 | 8 8 8 8
.oo3.oo3.oo *b3.oo3.oo3.oo&#x | 0 1 1 | * * 12 ♦ 0 0 10 | 0 0 40 | 0 0 80 | 0 0 0 80 | 0 0 16 16
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
... ... ... ... ... ox.&#x | 1 2 0 | 2 1 0 | 60 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 0 | 8 8 0 0
... ... ... ... .o.3.x. | 0 3 0 | 0 3 0 | * 160 * ♦ 1 6 1 | 6 12 6 | 12 4 4 12 | 4 4 4 4
... ... ... ... ... .xo&#x | 0 2 1 | 0 1 2 | * * 60 ♦ 0 0 8 | 0 0 24 | 0 0 0 32 | 0 0 8 8
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
... ... ... ... oo.3ox.&#x ♦ 1 3 0 | 3 3 0 | 3 1 0 | 160 * * ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0
... ... ... .o.3.o.3.x. ♦ 0 4 0 | 0 6 0 | 0 4 0 | * 240 * ♦ 1 4 1 | 4 2 2 4 | 2 2 2 2
... ... ... ... .oo3.xo&#x ♦ 0 3 1 | 0 3 3 | 0 1 3 | * * 160 ♦ 0 0 6 | 0 0 0 12 | 0 0 4 4
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
... ... ... oo.3oo.3ox.&#x ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 1 0 | 240 * * | 4 0 0 0 | 2 2 0 0
... .o. ... *b3.o.3.o.3.x. ♦ 0 5 0 | 0 10 0 | 0 10 0 | 0 5 0 | * 192 * | 1 1 1 1 | 1 1 1 1
... ... ... .oo3.oo3.xo&#x ♦ 0 4 1 | 0 6 4 | 0 4 6 | 0 1 4 | * * 240 | 0 0 0 4 | 0 0 2 2
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
... oo. ... *b3oo.3oo.3ox.&#x ♦ 1 5 0 | 5 10 0 | 10 10 0 | 10 5 0 | 5 1 0 | 192 * * * | 1 1 0 0
.o.3.o. ... *b3.o.3.o.3.x. ♦ 0 6 0 | 0 15 0 | 0 20 0 | 0 15 0 | 0 6 0 | * 32 * * | 1 0 1 0
... .o.3.o. *b3.o.3.o.3.x. ♦ 0 6 0 | 0 15 0 | 0 20 0 | 0 15 0 | 0 6 0 | * * 32 * | 0 1 0 1
... .oo ... *b3.oo3.oo3.xo&#x ♦ 0 5 1 | 0 10 5 | 0 10 10 | 0 5 10 | 0 1 5 | * * * 192 | 0 0 1 1
------------------------------+--------+----------+-----------+-------------+-------------+---------------+------------
oo.3oo. ... *b3oo.3oo.3ox.&#x ♦ 1 6 0 | 6 15 0 | 15 20 0 | 20 15 0 | 15 6 0 | 6 1 0 0 | 32 * * *
... oo.3oo. *b3oo.3oo.3ox.&#x ♦ 1 6 0 | 6 15 0 | 15 20 0 | 20 15 0 | 15 6 0 | 6 0 1 0 | * 32 * *
.oo3.oo ... *b3.oo3.oo3.xo&#x ♦ 0 6 1 | 0 15 6 | 0 20 15 | 0 15 20 | 0 6 15 | 0 1 0 6 | * * 32 *
... .oo3.oo *b3.oo3.oo3.xo&#x ♦ 0 6 1 | 0 15 6 | 0 20 15 | 0 15 20 | 0 6 15 | 0 0 1 6 | * * * 32
xox oxo3ooo3ooo3ooo4ooo&#xt → both heights = 1/2
(line || pseudo tac || line)
o.. o..3o..3o..3o..4o.. & | 4 * ♦ 1 10 1 0 | 10 40 10 0 | 40 80 40 0 | 80 80 80 0 | 80 32 80 | 32 32
.o. .o.3.o.3.o.3.o.4.o. | * 10 ♦ 0 4 0 8 | 2 32 2 24 | 16 96 16 32 | 48 96 48 16 | 64 64 64 | 32 32
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
x.. ... ... ... ... ... & | 2 0 | 2 * * * ♦ 10 0 0 0 | 40 0 0 0 | 80 0 0 0 | 80 0 0 | 32 0
oo. oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 40 * * ♦ 1 8 1 0 | 8 24 8 0 | 24 32 24 0 | 32 16 32 | 16 16
o.o o.o3o.o3o.o3o.o4o.o&#x | 2 0 | * * 2 * ♦ 0 0 10 0 | 0 0 40 0 | 0 0 80 0 | 0 0 80 | 0 32
... .x. ... ... ... ... | 0 2 | * * * 40 ♦ 0 4 0 6 | 2 24 2 12 | 12 48 12 8 | 24 32 24 | 16 16
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
xo. ... ... ... ... ...&#x & | 2 1 | 1 2 0 0 | 20 * * * ♦ 8 0 0 0 | 24 0 0 0 | 32 0 0 | 16 0
... ox. ... ... ... ...&#x & | 1 2 | 0 2 0 1 | * 160 * * ♦ 1 6 1 0 | 6 12 6 0 | 12 8 12 | 8 8
ooo ooo3ooo3ooo3ooo4ooo&#x | 2 1 | 0 2 1 0 | * * 20 * ♦ 0 0 8 0 | 0 0 24 0 | 0 0 32 | 0 16
... .x.3.o. ... ... ... | 0 3 | 0 0 0 3 | * * * 80 ♦ 0 4 0 4 | 2 16 2 4 | 8 16 8 | 8 8
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
xo. ox. ... ... ... ...&#x & ♦ 2 2 | 1 4 0 1 | 2 2 0 0 | 80 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0
... ox.3oo. ... ... ...&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 1 | * 320 * * ♦ 1 4 1 0 | 4 4 4 | 4 4
... oxo ... ... ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 2 2 0 | * * 80 * ♦ 0 0 6 0 | 0 0 12 | 0 8
... .x.3.o.3.o. ... ... ♦ 0 4 | 0 0 0 6 | 0 0 0 4 | * * * 80 ♦ 0 4 0 2 | 2 8 2 | 4 4
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
xo. ox.3oo. ... ... ...&#x & ♦ 2 3 | 1 6 0 3 | 3 6 0 1 | 3 2 0 0 | 160 * * * | 4 0 0 | 4 0
... ox.3oo.3oo. ... ...&#x & ♦ 1 4 | 0 4 0 6 | 0 6 0 4 | 0 4 0 1 | * 320 * * | 1 2 1 | 2 2
... oxo3ooo ... ... ...&#x ♦ 2 3 | 0 6 1 3 | 0 6 3 1 | 0 2 3 0 | * * 160 * | 0 0 4 | 0 4
... .x.3.o.3.o.3.o. ... ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 32 | 0 4 0 | 2 2
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
xo. ox.3oo.3oo. ... ...&#x & ♦ 2 4 | 1 8 0 6 | 4 12 0 4 | 6 8 0 1 | 4 2 0 0 | 160 * * | 2 0
... ox.3oo.3oo.3oo. ...&#x & ♦ 1 5 | 0 5 0 10 | 0 10 0 10 | 0 10 0 5 | 0 5 0 1 | * 128 * | 1 1
... oxo3ooo3ooo ... ...&#x ♦ 2 4 | 0 8 1 6 | 0 12 4 4 | 0 8 6 1 | 0 2 4 0 | * * 160 | 0 2
-------------------------------+------+-----------+--------------+--------------+----------------+-------------+------
xo. ox.3oo.3oo.3oo. ...&#x & ♦ 2 5 | 1 10 0 10 | 5 20 0 10 | 10 20 0 5 | 10 10 0 1 | 5 2 0 | 64 *
... oxo3ooo3ooo3ooo ...&#x ♦ 2 5 | 0 10 1 10 | 0 20 5 10 | 0 20 10 5 | 0 10 10 1 | 0 2 5 | * 64
xox ooo3ooo3ooo *c3ooo3oxo&#xt → both heights = 1/2
(line || pseudo tac || line)
o.. o..3o..3o.. *c3o..3o.. | 2 * * ♦ 1 10 1 0 0 0 | 10 40 10 0 0 0 | 40 80 40 0 0 0 | 80 80 80 0 0 0 0 | 80 16 16 80 0 0 0 | 16 16 16 16 0 0
.o. .o.3.o.3.o. *c3.o.3.o. | * 10 * ♦ 0 2 0 8 2 0 | 1 16 2 24 1 16 | 8 48 16 32 8 48 | 24 64 48 8 8 24 64 | 32 16 16 64 32 16 16 | 8 8 16 16 8 8
..o ..o3..o3..o *c3..o3..o | * * 2 ♦ 0 0 1 0 10 1 | 0 0 10 0 10 40 | 0 0 40 0 40 80 | 0 0 80 0 0 80 80 | 0 0 0 80 80 16 16 | 0 0 16 16 16 16
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
x.. ... ... ... ... ... | 2 0 0 | 1 * * * * * ♦ 10 0 0 0 0 0 | 40 0 0 0 0 0 | 80 0 0 0 0 0 0 | 80 0 0 0 0 0 0 | 16 16 0 0 0 0
oo. oo.3oo.3oo. *c3oo.3oo.&#x | 1 1 0 | * 20 * * * * ♦ 1 8 1 0 0 0 | 8 24 8 0 0 0 | 24 32 24 0 0 0 0 | 32 8 8 32 0 0 0 | 8 8 8 8 0 0
o.o o.o3o.o3o.o *c3o.o3o.o&#x | 1 0 1 | * * 2 * * * ♦ 0 0 10 0 0 0 | 0 0 40 0 0 0 | 0 0 80 0 0 0 0 | 0 0 0 80 0 0 0 | 0 0 16 16 0 0
... ... ... ... ... .x. | 0 2 0 | * * * 40 * * ♦ 0 2 0 6 0 2 | 1 12 2 12 1 12 | 6 24 12 4 4 6 24 | 12 8 8 24 12 8 8 | 4 4 8 8 4 4
.oo .oo3.oo3.oo *c3.oo3.oo&#x | 0 1 1 | * * * * 20 * ♦ 0 0 1 0 1 8 | 0 0 8 0 8 24 | 0 0 24 0 0 24 32 | 0 0 0 32 32 8 8 | 0 0 8 8 8 8
..x ... ... ... ... ... | 0 0 2 | * * * * * 1 ♦ 0 0 0 0 10 0 | 0 0 0 0 40 0 | 0 0 0 0 0 80 0 | 0 0 0 0 80 0 0 | 0 0 0 0 16 16
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
xo. ... ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 10 * * * * * ♦ 8 0 0 0 0 0 | 24 0 0 0 0 0 0 | 32 0 0 0 0 0 0 | 8 8 0 0 0 0
... ... ... ... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * 80 * * * * ♦ 1 6 1 0 0 0 | 6 12 6 0 0 0 0 | 12 4 4 12 0 0 0 | 4 4 4 4 0 0
ooo ooo3ooo3ooo *c3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * 20 * * * ♦ 0 0 8 0 0 0 | 0 0 24 0 0 0 0 | 0 0 0 32 0 0 0 | 0 0 8 8 0 0
... ... ... ... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 | * * * 80 * * ♦ 0 2 0 4 0 2 | 1 8 2 2 2 1 8 | 4 4 4 8 4 4 4 | 2 2 4 4 2 2
.ox ... ... ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * 10 * ♦ 0 0 0 0 8 0 | 0 0 0 0 0 24 0 | 0 0 0 0 32 0 0 | 0 0 0 0 8 8
... ... ... ... ... .xo&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * 80 ♦ 0 0 1 0 1 6 | 0 0 6 0 0 6 12 | 0 0 0 12 12 4 4 | 0 0 4 4 4 4
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
xo. ... ... ... ... ox.&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 2 2 0 0 0 0 | 40 * * * * * ♦ 6 0 0 0 0 0 0 | 12 0 0 0 0 0 0 | 4 4 0 0 0 0
... ... ... ... oo.3ox.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 1 0 0 | * 160 * * * * ♦ 1 4 1 0 0 0 0 | 4 2 2 4 0 0 0 | 2 2 2 2 0 0
... ... ... ... ... oxo&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 1 2 0 0 1 | * * 80 * * * ♦ 0 0 6 0 0 0 0 | 0 0 0 12 0 0 0 | 0 0 4 4 0 0
... ... .o. ... *c3.o.3.x. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 4 0 0 | * * * 80 * * ♦ 0 2 0 1 1 0 2 | 1 2 2 2 1 2 2 | 1 1 2 2 1 1
.ox ... ... ... ... .xo&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 2 2 | * * * * 40 * ♦ 0 0 0 0 0 6 0 | 0 0 0 0 12 0 0 | 0 0 0 0 4 4
... ... ... ... .oo3.xo&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 1 0 3 | * * * * * 160 ♦ 0 0 1 0 0 1 4 | 0 0 0 4 4 2 2 | 0 0 2 2 2 2
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
xo. ... ... ... oo.3ox.&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 3 6 0 1 0 0 | 3 2 0 0 0 0 | 80 * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 0 0
... ... oo. ... *c3oo.3ox.&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 6 0 4 0 0 | 0 4 0 1 0 0 | * 160 * * * * * | 1 1 1 1 0 0 0 | 1 1 1 1 0 0
... ... ... ... ooo3oxo&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 3 3 1 0 3 | 0 1 3 0 0 1 | * * 160 * * * * | 0 0 0 4 0 0 0 | 0 0 2 2 0 0
... .o.3.o. ... *c3.o.3.x. ♦ 0 5 0 | 0 0 0 10 0 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 | * * * 16 * * * | 0 2 0 0 0 2 0 | 1 0 2 0 1 0
... ... .o.3.o. *c3.o.3.x. ♦ 0 5 0 | 0 0 0 10 0 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 | * * * * 16 * * | 0 0 2 0 0 0 2 | 0 1 0 2 0 1
.ox ... ... ... .oo3.xo&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 1 3 6 | 0 0 0 0 3 2 | * * * * * 80 * | 0 0 0 0 4 0 0 | 0 0 0 0 2 2
... ... .oo ... *c3.oo3.xo&#x ♦ 0 4 1 | 0 0 0 6 4 0 | 0 0 0 4 0 6 | 0 0 0 1 0 4 | * * * * * * 160 | 0 0 0 1 1 1 1 | 0 0 1 1 1 1
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
xo. ... oo. ... *c3oo.3ox.&#x ♦ 2 4 0 | 1 8 0 6 0 0 | 4 12 0 4 0 0 | 6 8 0 1 0 0 | 4 2 0 0 0 0 0 | 80 * * * * * * | 1 1 0 0 0 0
... oo.3oo. ... *c3oo.3ox.&#x ♦ 1 5 0 | 0 5 0 10 0 0 | 0 10 0 10 0 0 | 0 10 0 5 0 0 | 0 5 0 1 0 0 0 | * 32 * * * * * | 1 0 1 0 0 0
... ... oo.3oo. *c3oo.3ox.&#x ♦ 1 5 0 | 0 5 0 10 0 0 | 0 10 0 10 0 0 | 0 10 0 5 0 0 | 0 5 0 0 1 0 0 | * * 32 * * * * | 0 1 0 1 0 0
... ... ooo ... *c3ooo3oxo&#x ♦ 1 4 1 | 0 4 1 6 4 0 | 0 6 4 4 0 6 | 0 4 6 1 0 4 | 0 1 4 0 0 0 1 | * * * 160 * * * | 0 0 1 1 0 0
.ox ... .oo ... *c3.oo3.xo&#x ♦ 0 4 2 | 0 0 0 6 8 1 | 0 0 0 4 4 12 | 0 0 0 1 6 8 | 0 0 0 0 0 4 2 | * * * * 80 * * | 0 0 0 0 1 1
... .oo3.oo ... *c3.oo3.xo&#x ♦ 0 5 1 | 0 0 0 10 5 0 | 0 0 0 10 0 10 | 0 0 0 5 0 10 | 0 0 0 1 0 0 5 | * * * * * 32 * | 0 0 1 0 1 0
... ... .oo3.oo *c3.oo3.xo&#x ♦ 0 5 1 | 0 0 0 10 5 0 | 0 0 0 10 0 10 | 0 0 0 5 0 10 | 0 0 0 0 1 0 5 | * * * * * * 32 | 0 0 0 1 0 1
------------------------------+--------+----------------+-------------------+---------------------+-------------------------+-----------------------+------------------
xo. oo.3oo. ... *c3oo.3ox.&#x ♦ 2 5 0 | 1 10 0 10 0 0 | 5 20 0 10 0 0 | 10 20 0 5 0 0 | 10 10 0 1 0 0 0 | 5 2 0 0 0 0 0 | 16 * * * * *
xo. ... oo.3oo. *c3oo.3ox.&#x ♦ 2 5 0 | 1 10 0 10 0 0 | 5 20 0 10 0 0 | 10 20 0 5 0 0 | 10 10 0 0 1 0 0 | 5 0 2 0 0 0 0 | * 16 * * * *
... ooo3ooo ... *c3ooo3oxo&#x ♦ 1 5 1 | 0 5 1 10 5 0 | 0 10 5 10 0 10 | 0 10 10 5 0 10 | 0 5 10 1 0 0 5 | 0 1 0 5 0 1 0 | * * 32 * * *
... ... ooo3ooo *c3ooo3oxo&#x ♦ 1 5 1 | 0 5 1 10 5 0 | 0 10 5 10 0 10 | 0 10 10 5 0 10 | 0 5 10 0 1 0 5 | 0 0 1 5 0 0 1 | * * * 32 * *
.ox .oo3.oo ... *c3.oo3.xo&#x ♦ 0 5 2 | 0 0 0 10 10 1 | 0 0 0 10 5 20 | 0 0 0 5 10 20 | 0 0 0 1 0 10 10 | 0 0 0 0 5 2 0 | * * * * 16 *
.ox ... .oo3.oo *c3.oo3.xo&#x ♦ 0 5 2 | 0 0 0 10 10 1 | 0 0 0 10 5 20 | 0 0 0 5 10 20 | 0 0 0 0 1 10 10 | 0 0 0 0 5 0 2 | * * * * * 16
xoox oxoo3oooo3oooo3ooxo&#x → height(1,2) = height(1,3) = height(2,4) = height(3,4) = sqrt(7/20) = 0.591608
height(1,4) = 1
height(2,3) = sqrt(2/5) = 0.632456
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.o.. .o..3.o..3.o..3.o.. | * 5 * * ♦ 0 2 0 0 4 4 2 0 0 0 | 1 8 0 0 8 2 0 6 12 6 1 8 8 0 0 0 | 4 12 0 0 4 24 12 8 0 8 4 12 12 4 4 12 4 24 12 0 0 0 | 6 8 0 0 12 6 24 24 8 12 0 24 12 1 4 6 4 1 6 8 12 6 24 24 8 0 0 0 | 4 2 0 0 12 12 4 8 12 8 2 8 0 24 24 8 4 2 12 12 4 8 12 8 2 0 0 | 1 0 4 6 4 1 2 0 8 12 8 2 1 4 6 4 1 0
..o. ..o.3..o.3..o.3..o. | * * 5 * ♦ 0 0 2 0 0 4 0 4 2 0 | 0 0 1 8 8 0 2 0 6 12 0 0 8 6 1 8 | 0 0 4 12 4 12 24 0 8 8 0 4 12 12 0 0 4 12 24 4 4 12 | 0 0 6 8 6 12 8 24 24 0 12 12 24 0 1 4 6 4 0 0 6 12 8 24 24 1 6 8 | 0 0 4 2 4 12 12 2 8 12 8 0 8 8 24 24 0 0 4 12 12 2 8 12 8 4 2 | 0 1 1 4 6 4 0 2 2 8 12 8 0 1 4 6 4 1
...o ...o3...o3...o3...o | * * * 2 ♦ 0 0 0 1 0 0 5 0 5 1 | 0 0 0 0 0 5 5 0 0 0 5 10 20 0 5 10 | 0 0 0 0 0 0 0 10 10 20 0 0 0 0 10 10 20 30 30 0 10 10 | 0 0 0 0 0 0 0 0 0 10 10 30 30 0 0 0 0 0 10 5 30 30 20 30 20 0 10 5 | 0 0 0 0 0 0 0 0 0 0 0 5 5 20 30 20 5 1 20 30 20 5 10 10 5 5 1 | 0 0 0 0 0 0 1 1 5 10 10 5 1 5 10 10 5 1
----------------------------+---------+----------------------------+---------------------------------------------+-----------------------------------------------------------------+---------------------------------------------------------------------------------+--------------------------------------------------------------------------+--------------------------------------------
x... .... .... .... .... | 2 0 0 0 | 1 * * * * * * * * * ♦ 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10 0 10 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10 0 10 0 30 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 0 5 0 20 30 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 5 10 10 5 0 0 0 0 0 0 0 0 0 0 0 0
oo.. oo..3oo..3oo..3oo..&#x | 1 1 0 0 | * 10 * * * * * * * * ♦ 1 4 0 0 4 1 0 0 0 0 0 0 0 0 0 0 | 4 6 0 0 4 12 6 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | 6 4 0 0 12 6 12 12 4 6 0 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 1 0 0 12 12 4 4 6 4 1 4 0 12 12 4 0 0 0 0 0 0 0 0 0 0 0 | 1 0 4 6 4 1 1 0 4 6 4 1 0 0 0 0 0 0
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o..o o..o3o..o3o..o3o..o&#x | 1 0 0 1 | * * * 2 * * * * * * ♦ 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 10 10 20 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 10 10 30 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 5 5 20 30 20 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 5 10 10 5 0 0 0 0 0 0
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.oo. .oo.3.oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * * 20 * * * * ♦ 0 0 0 0 2 0 0 0 3 3 0 0 2 0 0 0 | 0 0 0 0 1 6 6 0 0 2 0 3 6 3 0 0 1 6 6 0 0 0 | 0 0 0 0 3 3 6 12 6 0 0 6 6 0 1 3 3 1 0 0 3 3 6 12 6 0 0 0 | 0 0 0 0 3 6 3 2 6 6 2 0 0 6 12 6 0 0 3 6 3 2 6 6 2 0 0 | 0 0 1 3 3 1 0 0 2 6 6 2 0 1 3 3 1 0
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----------------------------+---------+----------------------------+---------------------------------------------+-----------------------------------------------------------------+---------------------------------------------------------------------------------+--------------------------------------------------------------------------+--------------------------------------------
xo.. .... .... .... ....&#x | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * ♦ 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 0 0 0 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0 12 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0
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x.o. .... .... .... ....&#x | 2 0 1 0 | 1 0 2 0 0 0 0 0 0 0 | * * 5 * * * * * * * * * * * * * ♦ 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 6 0 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 4 0 4 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0
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----------------------------+---------+----------------------------+---------------------------------------------+-----------------------------------------------------------------+---------------------------------------------------------------------------------+--------------------------------------------------------------------------+--------------------------------------------
xo.. ox.. .... .... ....&#x ♦ 2 2 0 0 | 1 4 0 0 1 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * * * * * * * * * * ♦ 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
.... ox..3oo.. .... ....&#x ♦ 1 3 0 0 | 0 3 0 0 3 0 0 0 0 0 | 0 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 20 * * * * * * * * * * * * * * * * * * * * ♦ 1 2 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 2 0 0 2 1 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 1 0 0 1 0 2 1 0 0 0 0 0 0 0 0
x.o. .... .... .... o.x.&#x ♦ 2 0 2 0 | 1 0 4 0 0 0 0 1 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 10 * * * * * * * * * * * * * * * * * * * ♦ 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 0 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0
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xoo. .... .... .... ....&#x ♦ 2 1 1 0 | 1 2 2 0 0 1 0 0 0 0 | 1 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * 20 * * * * * * * * * * * * * * * * * ♦ 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0
.... oxo. .... .... ....&#x ♦ 1 2 1 0 | 0 2 1 0 1 2 0 0 0 0 | 0 1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 | * * * * * 60 * * * * * * * * * * * * * * * * ♦ 0 0 0 0 1 0 2 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 2 0 1 2 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 0
.... .... .... .... oox.&#x ♦ 1 1 2 0 | 0 1 2 0 0 2 0 1 0 0 | 0 0 0 1 2 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * 60 * * * * * * * * * * * * * * * ♦ 0 0 0 0 0 1 0 2 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 2 0 1 2 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0
.... ox.o .... .... ....&#x ♦ 1 2 0 1 | 0 2 0 1 1 0 2 0 0 0 | 0 1 0 0 0 2 0 0 0 0 0 1 0 0 0 0 | * * * * * * * 20 * * * * * * * * * * * * * * ♦ 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 6 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 3 3 1 0 0 0 0 0 0 0
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oooo oooo3oooo3oooo3oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 1 0 | 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 | * * * * * * * * * 40 * * * * * * * * * * * * ♦ 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0
.... .x..3.o..3.o.. .... ♦ 0 4 0 0 | 0 0 0 0 6 0 0 0 0 0 | 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 | * * * * * * * * * * 5 * * * * * * * * * * * ♦ 0 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 1 2 0 0 0 2 0 0 0 0 0 | 1 0 1 0 0 0 2 0 2 0 0 0 1 1 0 0 0 0
.... .xo.3.oo. .... ....&#x ♦ 0 3 1 0 | 0 0 0 0 3 3 0 0 0 0 | 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 | * * * * * * * * * * * 20 * * * * * * * * * * ♦ 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 0 0 0 0 0 | 0 0 0 0 1 0 0 2 2 0 0 0 0 2 0 0 0 0 1 0 0 2 2 0 0 0 0 | 0 0 1 1 0 0 0 0 2 2 0 0 0 1 1 0 0 0
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.... oxoo .... .... ooxo&#x ♦ 1 2 2 1 | 0 2 2 1 1 4 2 1 2 0 | 0 1 0 1 4 2 2 0 2 2 0 1 4 0 0 1 | 0 0 0 0 0 2 2 1 1 4 0 0 1 0 0 0 0 2 2 0 0 0 | 0 0 0 0 0 0 0 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 60 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
.... .... .... oooo3ooxo&#x ♦ 1 1 3 1 | 0 1 3 1 0 3 1 3 3 0 | 0 0 0 3 3 1 3 0 0 3 0 0 3 1 0 3 | 0 0 0 1 0 0 3 0 3 3 0 0 0 1 0 0 0 0 3 0 0 1 | 0 0 0 0 0 0 0 0 1 0 1 0 3 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * * * * 40 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
.o.x .x.o3.o.o3.o.o ....&#x ♦ 0 4 0 2 | 0 0 0 0 6 0 8 0 0 1 | 0 0 0 0 0 0 0 4 0 0 4 12 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 6 8 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 5 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0
.... .x.o3.o.o3.o.o3.o.o&#x ♦ 0 5 0 1 | 0 0 0 0 10 0 5 0 0 0 | 0 0 0 0 0 0 0 10 0 0 0 10 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 10 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 5 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 2 * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0
.oox .xoo3.ooo .... ....&#x ♦ 0 3 1 2 | 0 0 0 0 3 3 6 0 2 1 | 0 0 0 0 0 0 0 1 3 0 3 6 6 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 2 3 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 20 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0
.oox .xoo .... .... .oxo&#x ♦ 0 2 2 2 | 0 0 0 0 1 4 4 1 4 1 | 0 0 0 0 0 0 0 0 2 2 2 2 8 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 4 4 4 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 30 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0
.oox .... .... .ooo3.oxo&#x ♦ 0 1 3 2 | 0 0 0 0 0 3 2 3 6 1 | 0 0 0 0 0 0 0 0 0 3 1 0 6 1 3 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 0 6 0 3 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 1 0 | * * * * * * * * * * * * * * * * * * * * 20 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
.... .xoo3.ooo3.ooo ....&#x ♦ 0 4 1 1 | 0 0 0 0 6 4 4 0 1 0 | 0 0 0 0 0 0 0 4 6 0 0 6 4 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 4 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 4 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 10 * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0
.... .xoo3.ooo .... .oxo&#x ♦ 0 3 2 1 | 0 0 0 0 3 6 3 1 2 0 | 0 0 0 0 0 0 0 1 6 3 0 3 6 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 1 0 6 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 20 * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0
.... .xoo .... .ooo3.oxo&#x ♦ 0 2 3 1 | 0 0 0 0 1 6 2 3 3 0 | 0 0 0 0 0 0 0 0 3 6 0 1 6 1 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 3 6 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 3 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 20 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0
.... .... .ooo3.ooo3.oxo&#x ♦ 0 1 4 1 | 0 0 0 0 0 4 1 6 4 0 | 0 0 0 0 0 0 0 0 0 6 0 0 4 4 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 6 1 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 4 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * 10 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0
..ox .... ..oo3..oo3..xo&#x ♦ 0 0 4 2 | 0 0 0 0 0 0 0 6 8 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * * * * * * * * * * * * * * 5 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
.... ..oo3..oo3..oo3..xo&#x ♦ 0 0 5 1 | 0 0 0 0 0 0 0 10 5 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 5 | * * * * * * * * * * * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1
----------------------------+---------+----------------------------+---------------------------------------------+-----------------------------------------------------------------+---------------------------------------------------------------------------------+--------------------------------------------------------------------------+--------------------------------------------
xo.. ox..3oo..3oo..3oo..&#x ♦ 2 5 0 0 | 1 10 0 0 10 0 0 0 0 0 | 5 20 0 0 0 0 0 10 0 0 0 0 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 | 10 10 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * *
x.o. o.o3 o.o.3o.o.3o.x.&#x ♦ 2 0 5 0 | 1 0 10 0 0 0 0 10 0 0 | 0 0 5 20 0 0 0 0 0 0 0 0 0 10 0 0 | 0 0 10 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 | 0 0 10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0 0 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 1 * * * * * * * * * * * * * * * *
xoo. oxo.3ooo.3ooo. ....&#x ♦ 2 4 1 0 | 1 8 2 0 6 4 0 0 0 0 | 4 12 1 0 8 0 0 4 6 0 0 0 0 0 0 0 | 6 8 0 0 4 12 0 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 | 4 2 0 0 6 0 8 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 4 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * * * * * * * * * *
xoo. oxo.3ooo. .... oox.&#x ♦ 2 3 2 0 | 1 6 4 0 3 6 0 1 0 0 | 3 6 2 2 12 0 0 1 6 3 0 0 0 0 0 0 | 3 2 1 0 6 12 6 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 | 1 0 0 0 6 3 4 6 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 3 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 10 * * * * * * * * * * * * * *
xoo. oxo. .... ooo.3oox.&#x ♦ 2 2 3 0 | 1 4 6 0 1 6 0 3 0 0 | 2 2 3 6 12 0 0 0 3 6 0 0 0 1 0 0 | 1 0 3 2 6 6 12 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 | 0 0 1 0 3 6 0 6 4 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 3 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 10 * * * * * * * * * * * * *
xoo. .... ooo.3ooo.3oox.&#x ♦ 2 1 4 0 | 1 2 8 0 0 4 0 6 0 0 | 1 0 4 12 8 0 0 0 0 6 0 0 0 4 0 0 | 0 0 6 8 4 0 12 0 0 0 0 0 0 4 0 0 0 0 0 1 0 0 | 0 0 4 2 0 6 0 0 8 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 4 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 5 * * * * * * * * * * * *
.... ox.o3oo.o3oo.o3oo.o&#x ♦ 1 5 0 1 | 0 5 0 1 10 0 5 0 0 0 | 0 10 0 0 0 5 0 10 0 0 0 10 0 0 0 0 | 0 10 0 0 0 0 0 10 0 0 5 0 0 0 0 10 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 10 0 0 0 1 0 0 0 0 0 5 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * 2 * * * * * * * * * * *
.... o.oo3o.oo3o.oo3o.xo&#x ♦ 1 0 5 1 | 0 0 5 1 0 0 0 10 5 0 | 0 0 0 10 0 0 5 0 0 0 0 0 0 10 0 10 | 0 0 0 10 0 0 0 0 10 0 0 0 0 0 0 0 0 0 0 5 0 10 | 0 0 0 5 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 5 | 0 0 0 1 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * * * * 2 * * * * * * * * * *
.... oxoo3oooo3oooo ....&#x ♦ 1 4 1 1 | 0 4 1 1 6 4 4 0 1 0 | 0 6 0 0 4 4 1 4 6 0 0 6 4 0 0 0 | 0 4 0 0 0 6 0 6 0 4 1 4 0 0 0 4 0 6 0 0 0 0 | 0 1 0 0 0 0 4 0 0 4 0 6 0 0 1 0 0 0 0 1 0 0 4 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 0 1 0 4 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * * 10 * * * * * * * * *
.... oxoo3oooo .... ooxo&#x ♦ 1 3 2 1 | 0 3 2 1 3 6 3 1 2 0 | 0 3 0 1 6 3 2 1 6 3 0 3 6 0 0 1 | 0 1 0 0 0 6 3 3 1 6 0 2 3 0 0 1 0 6 3 0 0 0 | 0 0 0 0 0 0 2 3 0 1 0 6 3 0 0 1 0 0 0 0 0 0 2 3 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 0 2 3 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * 20 * * * * * * * *
.... oxoo .... oooo3ooxo&#x ♦ 1 2 3 1 | 0 2 3 1 1 6 2 3 3 0 | 0 1 0 3 6 2 3 0 3 6 0 1 6 1 0 3 | 0 0 0 1 0 3 6 1 3 6 0 0 3 2 0 0 0 3 6 0 0 1 | 0 0 0 0 0 0 0 3 2 0 1 3 6 0 0 0 1 0 0 0 0 0 0 3 2 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 3 2 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * 20 * * * * * * *
.... .... oooo3oooo3ooxo&#x ♦ 1 1 4 1 | 0 1 4 1 0 4 1 6 4 0 | 0 0 0 6 4 1 4 0 0 6 0 0 4 4 0 6 | 0 0 0 4 0 0 6 0 6 4 0 0 0 4 0 0 0 0 6 1 0 4 | 0 0 0 1 0 0 0 0 4 0 4 0 6 0 0 0 0 1 0 0 0 0 0 0 4 0 0 1 | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 4 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * * * * * 10 * * * * * *
.o.x .x.o3.o.o3.o.o3.o.o&#x ♦ 0 5 0 2 | 0 0 0 0 10 0 10 0 0 1 | 0 0 0 0 0 0 0 10 0 0 5 20 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 5 0 0 0 10 20 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 10 10 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 1 * * * * *
.oox .xoo3.ooo3.ooo ....&#x ♦ 0 4 1 2 | 0 0 0 0 6 4 8 0 2 1 | 0 0 0 0 0 0 0 4 6 0 4 12 8 0 1 0 | 0 0 0 0 0 0 0 0 0 0 1 4 0 0 6 8 4 12 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 2 6 0 8 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * * 5 * * * *
.oox .xoo3.ooo .... .oxo&#x ♦ 0 3 2 2 | 0 0 0 0 3 6 6 1 4 1 | 0 0 0 0 0 0 0 1 6 3 3 6 12 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 2 3 0 3 2 6 12 6 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 6 3 4 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * 10 * * *
.oox .xoo .... .ooo3.oxo&#x ♦ 0 2 3 2 | 0 0 0 0 1 6 4 3 6 1 | 0 0 0 0 0 0 0 0 3 6 2 2 12 1 3 6 | 0 0 0 0 0 0 0 0 0 0 0 0 3 2 1 0 6 6 12 0 3 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 6 0 6 4 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 2 0 0 0 | * * * * * * * * * * * * * * * 10 * *
.oox .... .ooo3.ooo3.oxo&#x ♦ 0 1 4 2 | 0 0 0 0 0 4 2 6 8 1 | 0 0 0 0 0 0 0 0 0 6 1 0 8 4 4 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 12 1 6 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 6 0 0 8 0 4 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 2 1 0 | * * * * * * * * * * * * * * * * 5 *
..ox ..oo3..oo3..oo3..xo&#x ♦ 0 0 5 2 | 0 0 0 0 0 0 0 10 10 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 10 5 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 | * * * * * * * * * * * * * * * * * 1
xoo3oox oxo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(6) = 0.408248
({3} || pseudo perp hex || dual {3})
o..3o.. o..3o..3o..4o.. | 3 * * ♦ 2 8 2 0 0 0 | 1 16 24 2 1 16 0 0 0 0 | 8 48 32 16 8 48 0 0 0 0 | 24 64 16 48 24 64 0 0 0 | 32 32 64 32 32 0 0 | 16 32 16 0
.o.3.o. .o.3.o.3.o.4.o. | * 8 * ♦ 0 3 0 6 3 0 | 0 3 18 0 0 6 12 3 18 0 | 1 18 36 3 3 36 8 1 18 36 | 6 36 24 18 18 72 6 36 24 | 12 24 36 36 48 12 24 | 8 24 24 8
..o3..o ..o3..o3..o4..o | * * 3 ♦ 0 0 2 0 8 2 | 0 0 0 1 2 16 0 16 24 1 | 0 0 0 8 16 48 0 8 48 32 | 0 0 0 24 48 64 24 64 16 | 0 0 32 64 32 32 32 | 0 16 32 16
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
x.. ... ... ... ... ... | 2 0 0 | 3 * * * * * ♦ 1 8 0 1 0 0 0 0 0 0 | 8 24 0 8 0 0 0 0 0 0 | 24 32 0 24 0 0 0 0 0 | 32 16 32 0 0 0 0 | 16 16 0 0
oo.3oo. oo.3oo.3oo.4oo.&#x | 1 1 0 | * 24 * * * * ♦ 0 2 6 0 0 2 0 0 0 0 | 1 12 12 2 1 12 0 0 0 0 | 6 24 8 12 6 24 0 0 0 | 12 16 24 12 16 0 0 | 8 16 8 0
o.o3o.o o.o3o.o3o.o4o.o&#x | 1 0 1 | * * 6 * * * ♦ 0 0 0 1 1 8 0 0 0 0 | 0 0 0 8 8 24 0 0 0 0 | 0 0 0 24 24 32 0 0 0 | 0 0 32 32 16 0 0 | 0 16 16 0
... ... .x. ... ... ... | 0 2 0 | * * * 24 * * ♦ 0 0 3 0 0 0 4 0 3 0 | 0 3 12 0 0 6 4 0 3 12 | 1 12 12 3 3 24 1 12 12 | 4 12 12 12 24 4 12 | 4 12 12 4
.oo3.oo .oo3.oo3.oo4.oo&#x | 0 1 1 | * * * * 24 * ♦ 0 0 0 0 0 2 0 2 6 0 | 0 0 0 1 2 12 0 1 12 12 | 0 0 0 6 12 24 6 24 8 | 0 0 12 24 16 12 16 | 0 8 16 8
... ..x ... ... ... ... | 0 0 2 | * * * * * 3 ♦ 0 0 0 0 1 0 0 8 0 1 | 0 0 0 0 8 0 0 8 24 0 | 0 0 0 0 24 0 24 32 0 | 0 0 0 32 0 32 16 | 0 0 16 16
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
x..3o.. ... ... ... ... | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * * * ♦ 8 0 0 0 0 0 0 0 0 0 | 24 0 0 0 0 0 0 0 0 | 32 0 0 0 0 0 0 | 16 0 0 0
xo. ... ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 24 * * * * * * * * ♦ 1 6 0 1 0 0 0 0 0 0 | 6 12 0 6 0 0 0 0 0 | 12 8 12 0 0 0 0 | 8 8 0 0
... ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 72 * * * * * * * ♦ 0 2 4 0 0 2 0 0 0 0 | 1 8 4 2 1 8 0 0 0 | 4 8 8 4 8 0 0 | 4 8 4 0
x.o ... ... ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 3 * * * * * * ♦ 0 0 0 8 0 0 0 0 0 0 | 0 0 0 24 0 0 0 0 0 | 0 0 32 0 0 0 0 | 0 16 0 0
... o.x ... ... ... ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 3 * * * * * ♦ 0 0 0 0 8 0 0 0 0 0 | 0 0 0 0 24 0 0 0 0 | 0 0 0 32 0 0 0 | 0 0 16 0
ooo3ooo ooo3ooo3ooo4ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 48 * * * * ♦ 0 0 0 1 1 6 0 0 0 0 | 0 0 0 6 6 12 0 0 0 | 0 0 12 12 8 0 0 | 0 8 8 0
... ... .x.3.o. ... ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 32 * * * ♦ 0 0 3 0 0 0 2 0 0 3 | 0 3 6 0 0 6 0 3 6 | 1 6 3 3 12 1 6 | 2 6 6 2
... .ox ... ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 24 * * ♦ 0 0 0 0 1 0 0 1 6 0 | 0 0 0 0 6 0 6 12 0 | 0 0 0 12 0 12 8 | 0 0 8 8
... ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * 72 * ♦ 0 0 0 0 0 2 0 0 2 4 | 0 0 0 1 2 8 1 8 4 | 0 0 4 8 8 4 8 | 0 4 8 4
..o3..x ... ... ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 1 ♦ 0 0 0 0 0 0 0 8 0 0 | 0 0 0 0 0 0 24 0 0 | 0 0 0 0 0 32 0 | 0 0 0 16
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
xo.3oo. ... ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 | 12 0 0 0 0 0 0 | 8 0 0 0
xo. ... ox. ... ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 0 0 0 | * 72 * * * * * * * * ♦ 1 4 0 1 0 0 0 0 0 | 4 4 4 0 0 0 0 | 4 4 0 0
... ... ox.3oo. ... ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0 0 1 0 0 0 | * * 96 * * * * * * * ♦ 0 2 2 0 0 2 0 0 0 | 1 4 2 1 4 0 0 | 2 4 2 0
xoo ... ... ... ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 0 0 0 | * * * 24 * * * * * * ♦ 0 0 0 6 0 0 0 0 0 | 0 0 12 0 0 0 0 | 0 8 0 0
... oox ... ... ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 0 1 2 0 1 0 0 | * * * * 24 * * * * * ♦ 0 0 0 0 6 0 0 0 0 | 0 0 0 12 0 0 0 | 0 0 8 0
... ... oxo ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 0 2 0 0 1 0 | * * * * * 144 * * * * ♦ 0 0 0 1 1 4 0 0 0 | 0 0 4 4 4 0 0 | 0 4 4 0
... ... .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 | * * * * * * 16 * * * ♦ 0 0 3 0 0 0 0 0 3 | 0 3 0 0 6 0 3 | 1 3 3 1
.oo3.ox ... ... ... ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 3 0 1 | * * * * * * * 8 * * ♦ 0 0 0 0 0 0 6 0 0 | 0 0 0 0 0 12 0 | 0 0 0 8
... .ox .xo ... ... ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * 72 * ♦ 0 0 0 0 1 0 1 4 0 | 0 0 0 4 0 4 4 | 0 0 4 4
... ... .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 0 1 0 3 0 | * * * * * * * * * 96 ♦ 0 0 0 0 0 2 0 2 2 | 0 0 1 2 4 1 4 | 0 2 4 2
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
xo.3oo. ox. ... ... ...&#x ♦ 3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 | 24 * * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
xo. ... ox.3oo. ... ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 0 3 6 0 0 0 1 0 0 0 | 0 3 2 0 0 0 0 0 0 0 | * 96 * * * * * * * | 1 2 1 0 0 0 0 | 2 2 0 0
... ... ox.3oo.3oo. ...&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 0 6 0 0 0 4 0 0 0 | 0 0 4 0 0 0 1 0 0 0 | * * 48 * * * * * * | 0 2 0 0 2 0 0 | 1 2 1 0
xoo ... oxo ... ... ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 0 2 2 1 0 4 0 0 1 0 | 0 1 0 2 0 2 0 0 0 0 | * * * 72 * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
... oox oxo ... ... ...&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 0 1 0 1 4 0 2 2 0 | 0 0 0 0 2 2 0 0 1 0 | * * * * 72 * * * * | 0 0 0 4 0 0 0 | 0 0 4 0
... ... oxo3ooo ... ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 0 3 0 0 3 1 0 3 0 | 0 0 1 0 0 3 0 0 0 1 | * * * * * 192 * * * | 0 0 1 1 2 0 0 | 0 2 2 0
.oo3.ox .xo ... ... ...&#x ♦ 0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0 0 0 6 3 1 | 0 0 0 0 0 0 0 2 3 0 | * * * * * * 24 * * | 0 0 0 0 0 4 0 | 0 0 0 4
... .ox .xo3.oo ... ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0 0 1 3 6 0 | 0 0 0 0 0 0 0 0 3 2 | * * * * * * * 96 * | 0 0 0 1 0 1 2 | 0 0 2 2
... ... .xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 0 0 6 4 0 | 0 0 0 0 0 0 4 0 6 0 | 0 0 0 0 0 0 1 0 0 4 | * * * * * * * * 48 | 0 0 0 0 2 0 2 | 0 1 2 1
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
xo.3oo. ox.3oo. ... ...&#x ♦ 3 3 0 | 3 9 0 3 0 0 | 1 9 9 0 0 0 1 0 0 0 | 3 9 3 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 | 32 * * * * * * | 2 0 0 0
xo. ... ox.3oo.3oo. ...&#x ♦ 2 4 0 | 1 8 0 6 0 0 | 0 4 12 0 0 0 4 0 0 0 | 0 6 8 0 0 0 1 0 0 0 | 0 4 2 0 0 0 0 0 0 | * 48 * * * * * | 1 1 0 0
xoo ... oxo3ooo ... ...&#x ♦ 2 3 1 | 1 6 2 3 3 0 | 0 3 6 1 0 6 1 0 3 0 | 0 3 2 3 0 6 0 0 0 1 | 0 1 0 3 0 2 0 0 0 | * * 96 * * * * | 0 2 0 0
... oox oxo3ooo ... ...&#x ♦ 1 3 2 | 0 3 2 3 6 1 | 0 0 3 0 1 6 1 3 6 0 | 0 0 1 0 3 6 0 0 3 2 | 0 0 0 0 3 2 0 1 0 | * * * 96 * * * | 0 0 2 0
... ... oxo3ooo3ooo ...&#x ♦ 1 4 1 | 0 4 1 6 4 0 | 0 0 6 0 0 4 4 0 6 0 | 0 0 4 0 0 6 1 0 0 4 | 0 0 1 0 0 4 0 0 1 | * * * * 96 * * | 0 1 1 0
.oo3.ox .xo3.oo ... ...&#x ♦ 0 3 3 | 0 0 0 3 9 3 | 0 0 0 0 0 0 1 9 9 1 | 0 0 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 0 | * * * * * 32 * | 0 0 0 2
... .ox .xo3.oo3.oo ...&#x ♦ 0 4 2 | 0 0 0 6 8 1 | 0 0 0 0 0 0 4 4 12 0 | 0 0 0 0 0 0 1 0 6 8 | 0 0 0 0 0 0 0 4 2 | * * * * * * 48 | 0 0 1 1
---------------------------+-------+----------------+---------------------------+------------------------------+-----------------------------+----------------------+------------
xo.3oo. ox.3oo.3oo. ...&#x ♦ 3 4 0 | 3 12 0 6 0 0 | 1 12 18 0 0 0 4 0 0 0 | 4 18 12 0 0 0 1 0 0 0 | 6 12 3 0 0 0 0 0 0 | 4 3 0 0 0 0 0 | 16 * * *
xoo ... oxo3ooo3ooo ...&#x ♦ 2 4 1 | 1 8 2 6 4 0 | 0 4 12 1 0 8 4 0 6 0 | 0 6 8 4 0 12 1 0 0 4 | 0 4 2 6 0 8 0 0 1 | 0 1 4 0 2 0 0 | * 48 * *
... oox oxo3ooo3ooo ...&#x ♦ 1 4 2 | 0 4 2 6 8 1 | 0 0 6 0 1 8 4 4 12 0 | 0 0 4 0 4 12 1 0 6 8 | 0 0 1 0 6 8 0 4 2 | 0 0 0 4 2 0 1 | * * 48 *
.oo3.ox .xo3.oo3.oo ...&#x ♦ 0 4 3 | 0 0 0 6 12 3 | 0 0 0 0 0 0 4 12 18 1 | 0 0 0 0 0 0 1 4 18 12 | 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 4 3 | * * * 16
xoo3oox oxo3ooo3ooo *d3ooo&#xt → both heights = 1/sqrt(6) = 0.408248
({3} || pseudo perp hex || dual {3})
o..3o.. o..3o..3o.. *d3o.. | 3 * * ♦ 2 8 2 0 0 0 | 1 16 24 2 1 16 0 0 0 0 | 8 48 32 16 8 48 0 0 0 0 0 | 24 64 8 8 48 24 64 0 0 0 0 | 32 16 16 64 32 16 16 0 0 0 | 8 8 16 16 8 8 0 0
.o.3.o. .o.3.o.3.o. *d3.o. | * 8 * ♦ 0 3 0 6 3 0 | 0 3 18 0 0 6 12 3 18 0 | 1 18 36 3 3 36 4 4 1 18 36 | 6 36 12 12 18 18 72 6 36 12 12 | 12 12 12 36 36 24 24 12 12 12 | 4 4 12 12 12 12 4 4
..o3..o ..o3..o3..o *d3..o | * * 3 ♦ 0 0 2 0 8 2 | 0 0 0 1 2 16 0 16 24 1 | 0 0 0 8 16 48 0 0 8 48 32 | 0 0 0 0 24 48 64 24 64 8 8 | 0 0 0 32 64 16 16 32 16 16 | 0 0 8 8 16 16 8 8
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
x.. ... ... ... ... ... | 2 0 0 | 3 * * * * * ♦ 1 8 0 1 0 0 0 0 0 0 | 8 24 0 8 0 0 0 0 0 0 0 | 24 32 0 0 24 0 0 0 0 0 0 | 32 8 8 32 0 0 0 0 0 0 | 8 8 8 8 0 0 0 0
oo.3oo. oo.3oo.3oo. *d3oo.&#x | 1 1 0 | * 24 * * * * ♦ 0 2 6 0 0 2 0 0 0 0 | 1 12 12 2 1 12 0 0 0 0 0 | 6 24 4 4 12 6 24 0 0 0 0 | 12 8 8 24 12 8 8 0 0 0 | 4 4 8 8 4 4 0 0
o.o3o.o o.o3o.o3o.o *d3o.o&#x | 1 0 1 | * * 6 * * * ♦ 0 0 0 1 1 8 0 0 0 0 | 0 0 0 8 8 24 0 0 0 0 0 | 0 0 0 0 24 24 32 0 0 0 0 | 0 0 0 32 32 8 8 0 0 0 | 0 0 8 8 8 8 0 0
... ... .x. ... ... ... | 0 2 0 | * * * 24 * * ♦ 0 0 3 0 0 0 4 0 3 0 | 0 3 12 0 0 6 2 2 0 3 12 | 1 12 6 6 3 3 24 1 12 6 6 | 4 6 6 12 12 12 12 4 6 6 | 2 2 6 6 6 6 2 2
.oo3.oo .oo3.oo3.oo *d3.oo&#x | 0 1 1 | * * * * 24 * ♦ 0 0 0 0 0 2 0 2 6 0 | 0 0 0 1 2 12 0 0 1 12 12 | 0 0 0 0 6 12 24 6 24 4 4 | 0 0 0 12 24 8 8 12 8 8 | 0 0 4 4 8 8 4 4
... ..x ... ... ... ... | 0 0 2 | * * * * * 3 ♦ 0 0 0 0 1 0 0 8 0 1 | 0 0 0 0 8 0 0 0 8 24 0 | 0 0 0 0 0 24 0 24 32 0 0 | 0 0 0 0 32 0 0 32 8 8 | 0 0 0 0 8 8 8 8
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
x..3o.. ... ... ... ... | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * * * ♦ 8 0 0 0 0 0 0 0 0 0 0 | 24 0 0 0 0 0 0 0 0 0 0 | 32 0 0 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0
xo. ... ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 24 * * * * * * * * ♦ 1 6 0 1 0 0 0 0 0 0 0 | 6 12 0 0 6 0 0 0 0 0 0 | 12 4 4 12 0 0 0 0 0 0 | 4 4 4 4 0 0 0 0
... ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 72 * * * * * * * ♦ 0 2 4 0 0 2 0 0 0 0 0 | 1 8 2 2 2 1 8 0 0 0 0 | 4 4 4 8 4 4 4 0 0 0 | 2 2 4 4 2 2 0 0
x.o ... ... ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 3 * * * * * * ♦ 0 0 0 8 0 0 0 0 0 0 0 | 0 0 0 0 24 0 0 0 0 0 0 | 0 0 0 32 0 0 0 0 0 0 | 0 0 8 8 0 0 0 0
... o.x ... ... ... ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 3 * * * * * ♦ 0 0 0 0 8 0 0 0 0 0 0 | 0 0 0 0 0 24 0 0 0 0 0 | 0 0 0 0 32 0 0 0 0 0 | 0 0 0 0 8 8 0 0
ooo3ooo ooo3ooo3ooo *d3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 48 * * * * ♦ 0 0 0 1 1 6 0 0 0 0 0 | 0 0 0 0 6 6 12 0 0 0 0 | 0 0 0 12 12 4 4 0 0 0 | 0 0 4 4 4 4 0 0
... ... .x.3.o. ... ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 32 * * * ♦ 0 0 3 0 0 0 1 1 0 0 3 | 0 3 3 3 0 0 6 0 3 3 3 | 1 3 3 3 3 6 6 1 3 3 | 1 1 3 3 3 3 1 1
... .ox ... ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 24 * * ♦ 0 0 0 0 1 0 0 0 1 6 0 | 0 0 0 0 0 6 0 6 12 0 0 | 0 0 0 0 12 0 0 12 4 4 | 0 0 0 0 4 4 4 4
... ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * 72 * ♦ 0 0 0 0 0 2 0 0 0 2 4 | 0 0 0 0 1 2 8 1 8 2 2 | 0 0 0 4 8 4 4 4 4 4 | 0 0 2 2 4 4 2 2
..o3..x ... ... ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 1 ♦ 0 0 0 0 0 0 0 0 8 0 0 | 0 0 0 0 0 0 0 24 0 0 0 | 0 0 0 0 0 0 0 32 0 0 | 0 0 0 0 0 0 8 8
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
xo.3oo. ... ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0
xo. ... ox. ... ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 0 0 0 | * 72 * * * * * * * * * ♦ 1 4 0 0 1 0 0 0 0 0 0 | 4 2 2 4 0 0 0 0 0 0 | 2 2 2 2 0 0 0 0
... ... ox.3oo. ... ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0 0 1 0 0 0 | * * 96 * * * * * * * * ♦ 0 2 1 1 0 0 2 0 0 0 0 | 1 2 2 2 1 2 2 0 0 0 | 1 1 2 2 1 1 0 0
xoo ... ... ... ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 0 0 0 | * * * 24 * * * * * * * ♦ 0 0 0 0 6 0 0 0 0 0 0 | 0 0 0 12 0 0 0 0 0 0 | 0 0 4 4 0 0 0 0
... oox ... ... ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 0 1 2 0 1 0 0 | * * * * 24 * * * * * * ♦ 0 0 0 0 0 6 0 0 0 0 0 | 0 0 0 0 12 0 0 0 0 0 | 0 0 0 0 4 4 0 0
... ... oxo ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 0 2 0 0 1 0 | * * * * * 144 * * * * * ♦ 0 0 0 0 1 1 4 0 0 0 0 | 0 0 0 4 4 2 2 0 0 0 | 0 0 2 2 2 2 0 0
... ... .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 | * * * * * * 8 * * * * ♦ 0 0 3 0 0 0 0 0 0 3 0 | 0 3 0 0 0 6 0 0 3 0 | 1 0 3 0 3 0 1 0
... ... .x.3.o. ... *d3.o. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 | * * * * * * * 8 * * * ♦ 0 0 0 3 0 0 0 0 0 0 3 | 0 0 3 0 0 0 6 0 0 3 | 0 1 0 3 0 3 0 1
.oo3.ox ... ... ... ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 3 0 1 | * * * * * * * * 8 * * ♦ 0 0 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 12 0 0 | 0 0 0 0 0 0 4 4
... .ox .xo ... ... ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * 72 * ♦ 0 0 0 0 0 1 0 1 4 0 0 | 0 0 0 0 4 0 0 4 2 2 | 0 0 0 0 2 2 2 2
... ... .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 0 1 0 3 0 | * * * * * * * * * * 96 ♦ 0 0 0 0 0 0 2 0 2 1 1 | 0 0 0 1 2 2 2 1 2 2 | 0 0 1 1 2 2 1 1
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
xo.3oo. ox. ... ... ...&#x ♦ 3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0
xo. ... ox.3oo. ... ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 0 3 6 0 0 0 1 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0
... ... ox.3oo.3oo. ...&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 0 6 0 0 0 4 0 0 0 | 0 0 4 0 0 0 1 0 0 0 0 | * * 24 * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 | 1 0 2 0 1 0 0 0
... ... ox.3oo ... *d3oo..&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 0 6 0 0 0 4 0 0 0 | 0 0 4 0 0 0 0 1 0 0 0 | * * * 24 * * * * * * * | 0 0 2 0 0 0 2 0 0 0 | 0 1 0 2 0 1 0 0
xoo ... oxo ... ... ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 0 2 2 1 0 4 0 0 1 0 | 0 1 0 2 0 2 0 0 0 0 0 | * * * * 72 * * * * * * | 0 0 0 4 0 0 0 0 0 0 | 0 0 2 2 0 0 0 0
... oox oxo ... ... ...&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 0 1 0 1 4 0 2 2 0 | 0 0 0 0 2 2 0 0 0 1 0 | * * * * * 72 * * * * * | 0 0 0 0 4 0 0 0 0 0 | 0 0 0 0 2 2 0 0
... ... oxo3ooo ... ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 0 3 0 0 3 1 0 3 0 | 0 0 1 0 0 3 0 0 0 0 1 | * * * * * * 192 * * * * | 0 0 0 1 1 1 1 0 0 0 | 0 0 1 1 1 1 0 0
.oo3.ox .xo ... ... ...&#x ♦ 0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0 0 0 6 3 1 | 0 0 0 0 0 0 0 0 2 3 0 | * * * * * * * 24 * * * | 0 0 0 0 0 0 0 4 0 0 | 0 0 0 0 0 0 2 2
... .ox .xo3.oo ... ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0 0 1 3 6 0 | 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * 96 * * | 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 1 1 1 1
... ... .xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 0 0 6 4 0 | 0 0 0 0 0 0 4 0 6 0 | 0 0 0 0 0 0 1 0 0 0 4 | * * * * * * * * * 24 * | 0 0 0 0 0 2 0 0 2 0 | 0 0 1 0 2 0 1 0
... ... .xo3.oo ... *d3.oo&#x ♦ 0 4 1 | 0 0 0 6 4 0 | 0 0 0 0 0 0 4 0 6 0 | 0 0 0 0 0 0 0 1 0 0 4 | * * * * * * * * * * 24 | 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 0 2 0 1
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
xo.3oo. ox.3oo. ... ...&#x ♦ 3 3 0 | 3 9 0 3 0 0 | 1 9 9 0 0 0 1 0 0 0 | 3 9 3 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * | 1 1 0 0 0 0 0 0
xo. ... ox.3oo.3oo. ...&#x ♦ 2 4 0 | 1 8 0 6 0 0 | 0 4 12 0 0 0 4 0 0 0 | 0 6 8 0 0 0 1 0 0 0 0 | 0 4 2 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * | 1 0 1 0 0 0 0 0
xo. ... ox.3oo.... *d3oo..&#x ♦ 2 4 0 | 1 8 0 6 0 0 | 0 4 12 0 0 0 4 0 0 0 | 0 6 8 0 0 0 0 1 0 0 0 | 0 4 0 2 0 0 0 0 0 0 0 | * * 24 * * * * * * * | 0 1 0 1 0 0 0 0
xoo ... oxo3ooo ... ...&#x ♦ 2 3 1 | 1 6 2 3 3 0 | 0 3 6 1 0 6 1 0 3 0 | 0 3 2 3 0 6 0 0 0 0 1 | 0 1 0 0 3 0 2 0 0 0 0 | * * * 96 * * * * * * | 0 0 1 1 0 0 0 0
... oox oxo3ooo ... ...&#x ♦ 1 3 2 | 0 3 2 3 6 1 | 0 0 3 0 1 6 1 3 6 0 | 0 0 1 0 3 6 0 0 0 3 2 | 0 0 0 0 0 3 2 0 1 0 0 | * * * * 96 * * * * * | 0 0 0 0 1 1 0 0
... ... oxo3ooo3ooo ...&#x ♦ 1 4 1 | 0 4 1 6 4 0 | 0 0 6 0 0 4 4 0 6 0 | 0 0 4 0 0 6 1 0 0 0 4 | 0 0 1 0 0 0 4 0 0 1 0 | * * * * * 48 * * * * | 0 0 1 0 1 0 0 0
... ... oxo3ooo ... *d3ooo&#x ♦ 1 4 1 | 0 4 1 6 4 0 | 0 0 6 0 0 4 4 0 6 0 | 0 0 4 0 0 6 0 1 0 0 4 | 0 0 0 1 0 0 4 0 0 0 1 | * * * * * * 48 * * * | 0 0 0 1 0 1 0 0
.oo3.ox .xo3.oo ... ...&#x ♦ 0 3 3 | 0 0 0 3 9 3 | 0 0 0 0 0 0 1 9 9 1 | 0 0 0 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 3 3 0 0 | * * * * * * * 32 * * | 0 0 0 0 0 0 1 1
... .ox .xo3.oo3.oo ...&#x ♦ 0 4 2 | 0 0 0 6 8 1 | 0 0 0 0 0 0 4 4 12 0 | 0 0 0 0 0 0 1 0 0 6 8 | 0 0 0 0 0 0 0 0 4 2 0 | * * * * * * * * 24 * | 0 0 0 0 1 0 1 0
... .ox .xo3.oo ... *d3.oo&#x ♦ 0 4 2 | 0 0 0 6 8 1 | 0 0 0 0 0 0 4 4 12 0 | 0 0 0 0 0 0 0 1 0 6 8 | 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * * 24 | 0 0 0 0 0 1 0 1
------------------------------+-------+----------------+---------------------------+-------------------------------+-----------------------------------+-------------------------------+--------------------
xo.3oo. ox.3oo.3oo. ...&#x ♦ 3 4 0 | 3 12 0 6 0 0 | 1 12 18 0 0 0 4 0 0 0 | 4 18 12 0 0 0 1 0 0 0 0 | 6 12 3 0 0 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 0 | 8 * * * * * * *
xo.3oo. ox.3oo.... *d3oo..&#x ♦ 3 4 0 | 3 12 0 6 0 0 | 1 12 18 0 0 0 4 0 0 0 | 4 18 12 0 0 0 0 1 0 0 0 | 6 12 0 3 0 0 0 0 0 0 0 | 4 0 3 0 0 0 0 0 0 0 | * 8 * * * * * *
xoo ... oxo3ooo3ooo ...&#x ♦ 2 4 1 | 1 8 2 6 4 0 | 0 4 12 1 0 8 4 0 6 0 | 0 6 8 4 0 12 1 0 0 0 4 | 0 4 2 0 6 0 8 0 0 1 0 | 0 1 0 4 0 2 0 0 0 0 | * * 24 * * * * *
xoo ... oxo3ooo ... *d3ooo&#x ♦ 2 4 1 | 1 8 2 6 4 0 | 0 4 12 1 0 8 4 0 6 0 | 0 6 8 4 0 12 0 1 0 0 4 | 0 4 0 2 6 0 8 0 0 0 1 | 0 0 1 4 0 0 2 0 0 0 | * * * 24 * * * *
... oox oxo3ooo3ooo ...&#x ♦ 1 4 2 | 0 4 2 6 8 1 | 0 0 6 0 1 8 4 4 12 0 | 0 0 4 0 4 12 1 0 0 6 8 | 0 0 1 0 0 6 8 0 4 2 0 | 0 0 0 0 4 2 0 0 1 0 | * * * * 24 * * *
... oox oxo3ooo ... *d3ooo&#x ♦ 1 4 2 | 0 4 2 6 8 1 | 0 0 6 0 1 8 4 4 12 0 | 0 0 4 0 4 12 0 1 0 6 8 | 0 0 0 1 0 6 8 0 4 0 2 | 0 0 0 0 4 0 2 0 0 1 | * * * * * 24 * *
.oo3.ox .xo3.oo3.oo ...&#x ♦ 0 4 3 | 0 0 0 6 12 3 | 0 0 0 0 0 0 4 12 18 1 | 0 0 0 0 0 0 1 0 4 18 12 | 0 0 0 0 0 0 0 6 12 3 0 | 0 0 0 0 0 0 0 4 3 0 | * * * * * * 8 *
.oo3.ox .xo3.oo ... *d3.oo&#x ♦ 0 4 3 | 0 0 0 6 12 3 | 0 0 0 0 0 0 4 12 18 1 | 0 0 0 0 0 0 0 1 4 18 12 | 0 0 0 0 0 0 0 6 12 0 3 | 0 0 0 0 0 0 0 4 0 3 | * * * * * * * 8
oxo4ooo xoo3ooo3ooo3oox&#xt → both heights = 1/sqrt(10) = 0.316228
(pen || pseudo perp {4} || dual pen)
o.. o.. o..3o..3o..3o.. & | 10 * ♦ 4 4 4 0 | 6 4 16 18 16 | 4 16 16 72 24 16 12 | 1 72 24 64 16 5 10 48 | 64 16 48 20 4 40 | 20 4 40
.o. .o. .o.3.o.3.o.3.o. | * 4 ♦ 0 10 0 2 | 0 20 20 0 20 | 0 40 40 60 20 0 0 | 0 120 40 40 10 0 0 30 | 80 20 60 10 2 20 | 20 4 40
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
... ... x.. ... ... ... & | 2 0 | 20 * * * ♦ 3 0 4 3 0 | 3 0 4 12 12 6 3 | 1 12 12 24 12 3 4 12 | 24 12 12 12 4 16 | 12 4 16
oo. oo. oo.3oo.3oo.3oo.&#x & | 1 1 | * 40 * * ♦ 0 2 4 0 4 | 0 8 8 18 6 0 0 | 0 36 12 16 4 0 0 12 | 32 8 24 5 1 10 | 10 2 20
o.o o.o o.o3o.o3o.o3o.o&#x & | 2 0 | * * 20 * ♦ 0 0 0 6 4 | 0 4 0 24 0 6 6 | 0 24 0 24 0 2 6 24 | 24 0 24 8 0 24 | 8 0 24
.x. ... ... ... ... ... | 0 2 | * * * 4 ♦ 0 10 0 0 0 | 0 20 20 0 0 0 0 | 0 60 20 0 0 0 0 0 | 40 10 30 0 0 0 | 10 2 20
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
... ... x..3o.. ... ... & | 3 0 | 3 0 0 0 | 20 * * * * ♦ 2 0 0 0 4 2 0 | 1 0 4 8 8 2 1 0 | 8 8 0 8 4 4 | 8 4 4
ox. ... ... ... ... ...&#x & | 1 2 | 0 2 0 1 | * 40 * * * ♦ 0 4 4 0 0 0 0 | 0 18 6 0 0 0 0 0 | 16 4 12 0 0 0 | 5 1 10
... ... xo. ... ... ...&#x & | 2 1 | 1 2 0 0 | * * 80 * * ♦ 0 0 2 3 3 0 0 | 0 6 6 6 3 0 0 3 | 12 6 6 3 1 4 | 6 2 8
... ... x.o ... ... ...&#x & | 3 0 | 1 0 2 0 | * * * 60 * ♦ 0 0 0 4 0 2 2 | 0 4 0 8 0 1 3 8 | 8 0 8 4 0 12 | 4 0 12
ooo ooo ooo3ooo3ooo3ooo&#x | 2 1 | 0 2 1 0 | * * * * 80 ♦ 0 2 0 6 0 0 0 | 0 12 0 6 0 0 0 6 | 12 0 12 2 0 6 | 4 0 12
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
... ... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 | 10 * * * * * * ♦ 1 0 0 0 4 1 0 0 | 0 4 0 4 4 0 | 4 4 0
oxo ... ... ... ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 2 0 0 2 | * 80 * * * * * ♦ 0 6 0 0 0 0 0 0 | 6 0 6 0 0 0 | 2 0 6
ox. ... xo. ... ... ...&#x & ♦ 2 2 | 1 4 0 1 | 0 2 2 0 0 | * * 80 * * * * ♦ 0 3 3 0 0 0 0 0 | 6 3 3 0 0 0 | 3 1 4
... ... xoo ... ... ...&#x & ♦ 3 1 | 1 3 2 0 | 0 0 1 1 2 | * * * 240 * * * ♦ 0 2 0 2 0 0 0 2 | 4 0 4 1 0 3 | 2 0 6
... ... xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 0 | 1 0 3 0 0 | * * * * 80 * * ♦ 0 0 2 2 2 0 0 0 | 4 4 0 2 1 1 | 4 2 2
... ... x.o3o.o ... ...&#x & ♦ 4 0 | 3 0 3 0 | 1 0 0 3 0 | * * * * * 40 * ♦ 0 0 0 4 0 1 1 0 | 4 0 0 4 0 4 | 4 0 4
... ... x.o ... ... o.x&#x ♦ 4 0 | 2 0 4 0 | 0 0 0 4 0 | * * * * * * 30 ♦ 0 0 0 0 0 0 2 4 | 0 0 4 0 0 8 | 0 0 8
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
... ... x..3o..3o..3o.. & ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 | 5 0 0 0 0 0 0 | 2 * * * * * * * | 0 0 0 0 4 0 | 0 4 0
oxo ... xoo ... ... ...&#x & ♦ 3 2 | 1 6 2 1 | 0 3 2 1 4 | 0 2 1 2 0 0 0 | * 240 * * * * * * | 2 0 2 0 0 0 | 1 0 3
ox. ... xo.3oo. ... ...&#x & ♦ 3 2 | 3 6 0 1 | 1 3 6 0 0 | 0 0 3 0 2 0 0 | * * 80 * * * * * | 2 2 0 0 0 0 | 2 1 1
... ... xoo3ooo ... ...&#x & ♦ 4 1 | 3 4 3 0 | 1 0 3 3 3 | 0 0 0 3 1 1 0 | * * * 160 * * * * | 2 0 0 1 0 1 | 2 0 2
... ... xo.3oo.3oo. ...&#x & ♦ 4 1 | 6 4 0 0 | 4 0 6 0 0 | 1 0 0 0 4 0 0 | * * * * 40 * * * | 0 2 0 1 1 0 | 2 2 0
... ... x.o3o.o3o.o ...&#x & ♦ 5 0 | 6 0 4 0 | 4 0 0 6 0 | 1 0 0 0 0 4 0 | * * * * * 10 * * | 0 0 0 4 0 0 | 4 0 0
... ... x.o3o.o ... o.x&#x & ♦ 5 0 | 4 0 6 0 | 1 0 0 9 0 | 0 0 0 0 0 2 3 | * * * * * * 20 * | 0 0 0 0 0 4 | 0 0 4
... ... xoo ... ... oox&#x ♦ 4 1 | 2 4 4 0 | 0 0 2 4 4 | 0 0 0 4 0 0 1 | * * * * * * * 120 | 0 0 2 0 0 2 | 0 0 4
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
oxo ... xoo3ooo ... ...&#x & ♦ 4 2 | 3 8 3 1 | 1 4 6 3 6 | 0 3 3 6 2 1 0 | 0 3 1 2 0 0 0 0 | 160 * * * * * | 1 0 1
ox. ... xo.3oo.3oo. ...&#x & ♦ 4 2 | 6 8 0 1 | 4 4 12 0 0 | 1 0 6 0 8 0 0 | 0 0 4 0 2 0 0 0 | * 40 * * * * | 1 1 0
oxo ... xoo ... ... oox&#x ♦ 4 2 | 2 8 4 1 | 0 4 4 4 8 | 0 4 2 8 0 0 1 | 0 4 0 0 0 0 0 2 | * * 120 * * * | 0 0 2
... ... xoo3ooo3ooo ...&#x & ♦ 5 1 | 6 5 4 0 | 4 0 6 6 4 | 1 0 0 6 4 4 0 | 0 0 0 4 1 1 0 0 | * * * 40 * * | 2 0 0
... ... xo.3oo.3oo.3oo.&#x & ♦ 5 1 | 10 5 0 0 | 10 0 10 0 0 | 5 0 0 0 10 0 0 | 1 0 0 0 5 0 0 0 | * * * * 8 * | 0 2 0
... ... xoo3ooo ... oox&#x & ♦ 5 1 | 4 5 6 0 | 1 0 4 9 6 | 0 0 0 9 1 2 3 | 0 0 0 2 0 0 1 3 | * * * * * 80 | 0 0 2
------------------------------+------+------------+----------------+-----------------------+---------------------------+--------------------+--------
oxo ... xoo3ooo3ooo ...&#x & ♦ 5 2 | 6 10 4 1 | 4 5 12 6 8 | 1 4 6 12 8 4 0 | 0 6 4 8 2 1 0 0 | 4 1 0 2 0 0 | 40 * *
ox. ... xo.3oo.3oo.3oo.&#x & ♦ 5 2 | 10 10 0 1 | 10 5 20 0 0 | 5 0 10 0 20 0 0 | 1 0 10 0 10 0 0 0 | 0 5 0 0 2 0 | * 8 *
oxo ... xoo3ooo ... oox&#x & ♦ 5 2 | 4 10 6 1 | 1 5 8 9 12 | 0 6 4 18 2 2 3 | 0 9 1 4 0 0 1 6 | 2 0 3 0 0 2 | * * 80
oxo oxo xoo3ooo3ooo3oox&#xt → both heights = 1/sqrt(10) = 0.316228
(pen || pseudo perp {4} || dual pen)
o.. o.. o..3o..3o..3o.. & | 10 * ♦ 4 4 4 0 0 | 6 2 2 16 18 16 | 4 8 8 8 8 72 24 16 12 | 1 36 12 36 12 64 16 5 10 48 | 32 8 24 32 8 24 20 4 40 | 10 2 20 10 2 20
.o. .o. .o.3.o.3.o.3.o. | * 4 ♦ 0 10 0 1 1 | 0 10 10 20 0 20 | 0 20 20 20 20 60 20 0 0 | 0 60 20 60 20 40 10 0 0 30 | 40 10 30 40 10 30 10 2 20 | 10 2 20 10 2 20
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
... ... x.. ... ... ... & | 2 0 | 20 * * * * ♦ 3 0 0 4 3 0 | 3 0 2 0 2 12 12 6 3 | 1 6 6 6 6 24 12 3 4 12 | 12 6 6 12 6 6 12 4 16 | 6 2 8 6 2 8
oo. oo. oo.3oo.3oo.3oo.&#x & | 1 1 | * 40 * * * ♦ 0 1 1 4 0 4 | 0 4 4 4 4 18 6 0 0 | 0 18 6 18 6 16 4 0 0 12 | 16 4 12 16 4 12 5 1 10 | 5 1 10 5 1 10
o.o o.o o.o3o.o3o.o3o.o&#x & | 2 0 | * * 20 * * ♦ 0 0 0 0 6 4 | 0 2 0 2 0 24 0 6 6 | 0 12 0 12 0 24 0 2 6 24 | 12 0 12 12 0 12 8 0 24 | 4 0 12 4 0 12
.x. ... ... ... ... ... | 0 2 | * * * 2 * ♦ 0 10 0 0 0 0 | 0 20 20 0 0 0 0 0 0 | 0 60 20 0 0 0 0 0 0 0 | 40 10 30 0 0 0 0 0 0 | 10 2 20 0 0 0
... .x. ... ... ... ... | 0 2 | * * * * 2 ♦ 0 0 10 0 0 0 | 0 0 0 20 20 0 0 0 0 | 0 0 0 60 20 0 0 0 0 0 | 0 0 0 40 10 30 0 0 0 | 0 0 0 10 2 20
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
... ... x..3o.. ... ... & | 3 0 | 3 0 0 0 0 | 20 * * * * * ♦ 2 0 0 0 0 0 4 2 0 | 1 0 2 0 2 8 8 2 1 0 | 4 4 0 4 4 0 8 4 4 | 4 2 2 4 2 2
ox. ... ... ... ... ...&#x & | 1 2 | 0 2 0 1 0 | * 20 * * * * ♦ 0 4 4 0 0 0 0 0 0 | 0 18 6 0 0 0 0 0 0 0 | 16 4 12 0 0 0 0 0 0 | 5 1 10 0 0 0
... ox. ... ... ... ...&#x & | 1 2 | 0 2 0 0 1 | * * 20 * * * ♦ 0 0 0 4 4 0 0 0 0 | 0 0 0 18 6 0 0 0 0 0 | 0 0 0 16 4 12 0 0 0 | 0 0 0 5 1 10
... ... xo. ... ... ...&#x & | 2 1 | 1 2 0 0 0 | * * * 80 * * ♦ 0 0 1 0 1 3 3 0 0 | 0 3 3 3 3 6 3 0 0 3 | 6 3 3 6 3 3 3 1 4 | 3 1 4 3 1 4
... ... x.o ... ... ...&#x & | 3 0 | 1 0 2 0 0 | * * * * 60 * ♦ 0 0 0 0 0 4 0 2 2 | 0 2 0 2 0 8 0 1 3 8 | 4 0 4 4 0 4 4 0 12 | 2 0 6 2 0 6
ooo ooo ooo3ooo3ooo3ooo&#x | 2 1 | 0 2 1 0 0 | * * * * * 80 ♦ 0 1 0 1 0 6 0 0 0 | 0 6 0 6 0 6 0 0 0 6 | 6 0 6 6 0 6 2 0 6 | 2 0 6 2 0 6
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
... ... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | 10 * * * * * * * * ♦ 1 0 0 0 0 0 4 1 0 0 | 0 2 0 0 2 0 4 4 0 | 2 2 0 2 2 0
oxo ... ... ... ... ...&#x ♦ 2 2 | 0 4 1 1 0 | 0 2 0 0 0 2 | * 40 * * * * * * * ♦ 0 6 0 0 0 0 0 0 0 0 | 6 0 6 0 0 0 0 0 0 | 2 0 6 0 0 0
ox. ... xo. ... ... ...&#x & ♦ 2 2 | 1 4 0 1 0 | 0 2 0 2 0 0 | * * 40 * * * * * * ♦ 0 3 3 0 0 0 0 0 0 0 | 6 3 3 0 0 0 0 0 0 | 3 1 4 0 0 0
... oxo ... ... ... ...&#x ♦ 2 2 | 0 4 1 0 1 | 0 0 2 0 0 2 | * * * 40 * * * * * ♦ 0 0 0 6 0 0 0 0 0 0 | 0 0 0 6 0 6 0 0 0 | 0 0 0 2 0 6
... ox. xo. ... ... ...&#x & ♦ 2 2 | 1 4 0 0 1 | 0 0 2 2 0 0 | * * * * 40 * * * * ♦ 0 0 0 3 3 0 0 0 0 0 | 0 0 0 6 3 3 0 0 0 | 0 0 0 3 1 4
... ... xoo ... ... ...&#x & ♦ 3 1 | 1 3 2 0 0 | 0 0 0 1 1 2 | * * * * * 240 * * * ♦ 0 1 0 1 0 2 0 0 0 2 | 2 0 2 2 0 2 1 0 3 | 1 0 3 1 0 3
... ... xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 0 0 | 1 0 0 3 0 0 | * * * * * * 80 * * ♦ 0 0 1 0 1 2 2 0 0 0 | 2 2 0 2 2 0 2 1 1 | 2 1 1 2 1 1
... ... x.o3o.o ... ...&#x & ♦ 4 0 | 3 0 3 0 0 | 1 0 0 0 3 0 | * * * * * * * 40 * ♦ 0 0 0 0 0 4 0 1 1 0 | 2 0 0 2 0 0 4 0 4 | 2 0 2 2 0 2
... ... x.o ... ... o.x&#x ♦ 4 0 | 2 0 4 0 0 | 0 0 0 0 4 0 | * * * * * * * * 30 ♦ 0 0 0 0 0 0 0 0 2 4 | 0 0 2 0 0 2 0 0 8 | 0 0 4 0 0 4
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
... ... x..3o..3o..3o.. & ♦ 5 0 | 10 0 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * | 0 0 0 0 0 0 0 4 0 | 0 2 0 0 2 0
oxo ... xoo ... ... ...&#x & ♦ 3 2 | 1 6 2 1 0 | 0 3 0 2 1 4 | 0 2 1 0 0 2 0 0 0 | * 120 * * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 0 3 0 0 0
ox. ... xo.3oo. ... ...&#x & ♦ 3 2 | 3 6 0 1 0 | 1 3 0 6 0 0 | 0 0 3 0 0 0 2 0 0 | * * 40 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 2 1 1 0 0 0
... oxo xoo ... ... ...&#x & ♦ 3 2 | 1 6 2 0 1 | 0 0 3 2 1 4 | 0 0 0 2 1 2 0 0 0 | * * * 120 * * * * * * | 0 0 0 2 0 2 0 0 0 | 0 0 0 1 0 3
... ox. xo.3oo. ... ...&#x & ♦ 3 2 | 3 6 0 0 1 | 1 0 3 6 0 0 | 0 0 0 0 3 0 2 0 0 | * * * * 40 * * * * * | 0 0 0 2 2 0 0 0 0 | 0 0 0 2 1 1
... ... xoo3ooo ... ...&#x & ♦ 4 1 | 3 4 3 0 0 | 1 0 0 3 3 3 | 0 0 0 0 0 3 1 1 0 | * * * * * 160 * * * * | 1 0 0 1 0 0 1 0 1 | 1 0 1 1 0 1
... ... xo.3oo.3oo. ...&#x & ♦ 4 1 | 6 4 0 0 0 | 4 0 0 6 0 0 | 1 0 0 0 0 0 4 0 0 | * * * * * * 40 * * * | 0 1 0 0 1 0 1 1 0 | 1 1 0 1 1 0
... ... x.o3o.o3o.o ...&#x & ♦ 5 0 | 6 0 4 0 0 | 4 0 0 0 6 0 | 1 0 0 0 0 0 0 4 0 | * * * * * * * 10 * * | 0 0 0 0 0 0 4 0 0 | 2 0 0 2 0 0
... ... x.o3o.o ... o.x&#x & ♦ 5 0 | 4 0 6 0 0 | 1 0 0 0 9 0 | 0 0 0 0 0 0 0 2 3 | * * * * * * * * 20 * | 0 0 0 0 0 0 0 0 4 | 0 0 2 0 0 2
... ... xoo ... ... oox&#x ♦ 4 1 | 2 4 4 0 0 | 0 0 0 2 4 4 | 0 0 0 0 0 4 0 0 1 | * * * * * * * * * 120 | 0 0 1 0 0 1 0 0 2 | 0 0 2 0 0 2
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
oxo ... xoo3ooo ... ...&#x & ♦ 4 2 | 3 8 3 1 0 | 1 4 0 6 3 6 | 0 3 3 0 0 6 2 1 0 | 0 3 1 0 0 2 0 0 0 0 | 80 * * * * * * * * | 1 0 1 0 0 0
ox. ... xo.3oo.3oo. ...&#x & ♦ 4 2 | 6 8 0 1 0 | 4 4 0 12 0 0 | 1 0 6 0 0 0 8 0 0 | 0 0 4 0 0 0 2 0 0 0 | * 20 * * * * * * * | 1 1 0 0 0 0
oxo ... xoo ... ... oox&#x ♦ 4 2 | 2 8 4 1 0 | 0 4 0 4 4 8 | 0 4 2 0 0 8 0 0 1 | 0 4 0 0 0 0 0 0 0 2 | * * 60 * * * * * * | 0 0 2 0 0 0
... oxo xoo3ooo ... ...&#x & ♦ 4 2 | 3 8 3 0 1 | 1 0 4 6 3 6 | 0 0 0 3 3 6 2 1 0 | 0 0 0 3 1 2 0 0 0 0 | * * * 80 * * * * * | 0 0 0 1 0 1
... ox. xo.3oo.3oo. ...&#x & ♦ 4 2 | 6 8 0 0 1 | 4 0 4 12 0 0 | 1 0 0 0 6 0 8 0 0 | 0 0 0 0 4 0 2 0 0 0 | * * * * 20 * * * * | 0 0 0 1 1 0
... oxo xoo ... ... oox&#x ♦ 4 2 | 2 8 4 0 1 | 0 0 4 4 4 8 | 0 0 0 4 2 8 0 0 1 | 0 0 0 4 0 0 0 0 0 2 | * * * * * 60 * * * | 0 0 0 0 0 2
... ... xoo3ooo3ooo ...&#x & ♦ 5 1 | 6 5 4 0 0 | 4 0 0 6 6 4 | 1 0 0 0 0 6 4 4 0 | 0 0 0 0 0 4 1 1 0 0 | * * * * * * 40 * * | 1 0 0 1 0 0
... ... xo.3oo.3oo.3oo.&#x & ♦ 5 1 | 10 5 0 0 0 | 10 0 0 10 0 0 | 5 0 0 0 0 0 10 0 0 | 1 0 0 0 0 0 5 0 0 0 | * * * * * * * 8 * | 0 1 0 0 1 0
... ... xoo3ooo ... oox&#x & ♦ 5 1 | 4 5 6 0 0 | 1 0 0 4 9 6 | 0 0 0 0 0 9 1 2 3 | 0 0 0 0 0 2 0 0 1 3 | * * * * * * * * 80 | 0 0 1 0 0 1
------------------------------+------+--------------+-------------------+-----------------------------+----------------------------------+---------------------------+----------------
oxo ... xoo3ooo3ooo ...&#x & ♦ 5 2 | 6 10 4 1 0 | 4 5 0 12 6 8 | 1 4 6 0 0 12 8 4 0 | 0 6 4 0 0 8 2 1 0 0 | 4 1 0 0 0 0 2 0 0 | 20 * * * * *
ox. ... xo.3oo.3oo.3oo.&#x & ♦ 5 2 | 10 10 0 1 0 | 10 5 0 20 0 0 | 5 0 10 0 0 0 20 0 0 | 1 0 10 0 0 0 10 0 0 0 | 0 5 0 0 0 0 0 2 0 | * 4 * * * *
oxo ... xoo3ooo ... oox&#x & ♦ 5 2 | 4 10 6 1 0 | 1 5 0 8 9 12 | 0 6 4 0 0 18 2 2 3 | 0 9 1 0 0 4 0 0 1 6 | 2 0 3 0 0 0 0 0 2 | * * 40 * * *
... oxo xoo3ooo3ooo ...&#x & ♦ 5 2 | 6 10 4 0 1 | 4 0 5 12 6 8 | 1 0 0 4 6 12 8 4 0 | 0 0 0 6 4 8 2 1 0 0 | 0 0 0 4 1 0 2 0 0 | * * * 20 * *
... ox. xo.3oo.3oo.3oo.&#x & ♦ 5 2 | 10 10 0 0 1 | 10 0 5 20 0 0 | 5 0 0 0 10 0 20 0 0 | 1 0 0 0 10 0 10 0 0 0 | 0 0 0 0 5 0 0 2 0 | * * * * 4 *
... oxo xoo3ooo ... oox&#x & ♦ 5 2 | 4 10 6 0 1 | 1 0 5 8 9 12 | 0 0 0 6 4 18 2 2 3 | 0 0 0 9 1 4 0 0 1 6 | 0 0 0 2 0 3 0 0 2 | * * * * * 40
xo4oo ox3oo3oo3oo4oo&#zx → height = 0
(tegum sum of {4} and perp tac)
(tegum product of {4} with tac)
o.4o. o.3o.3o.3o.4o. | 4 * ♦ 2 10 0 | 20 40 0 | 80 80 0 | 160 80 0 | 160 32 | 64
.o4.o .o3.o3.o3.o4.o | * 10 ♦ 0 4 8 | 4 32 24 | 32 96 32 | 96 128 16 | 128 64 | 64
------------------------+------+---------+-----------+------------+------------+---------+----
x. .. .. .. .. .. .. | 2 0 | 4 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 | 80 0 | 32
oo4oo oo3oo3oo3oo4oo&#x | 1 1 | * 40 * ♦ 2 8 0 | 16 24 0 | 48 32 0 | 64 16 | 32
.. .. .x .. .. .. .. | 0 2 | * * 40 ♦ 0 4 6 | 4 24 12 | 24 48 8 | 48 32 | 32
------------------------+------+---------+-----------+------------+------------+---------+----
xo .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | 40 * * ♦ 8 0 0 | 24 0 0 | 32 0 | 16
.. .. ox .. .. .. ..&#x | 1 2 | 0 2 1 | * 160 * ♦ 2 6 0 | 12 12 0 | 24 8 | 16
.. .. .x3.o .. .. .. | 0 3 | 0 0 3 | * * 80 ♦ 0 4 4 | 4 16 4 | 16 16 | 16
------------------------+------+---------+-----------+------------+------------+---------+----
xo .. ox .. .. .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 160 * * ♦ 6 0 0 | 12 0 | 8
.. .. ox3oo .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 320 * ♦ 2 4 0 | 8 4 | 8
.. .. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 80 ♦ 0 4 2 | 4 8 | 8
------------------------+------+---------+-----------+------------+------------+---------+----
xo .. ox3oo .. .. ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 | 320 * * | 4 0 | 4
.. .. ox3oo3oo .. ..&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 | * 320 * | 2 2 | 4
.. .. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 32 | 0 4 | 4
------------------------+------+---------+-----------+------------+------------+---------+----
xo .. ox3oo3oo .. ..&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 0 | 320 * | 2
.. .. ox3oo3oo3oo ..&#x ♦ 1 5 | 0 5 10 | 0 10 10 | 0 10 5 | 0 5 1 | * 128 | 2
------------------------+------+---------+-----------+------------+------------+---------+----
xo .. ox3oo3oo3oo ..&#x ♦ 2 5 | 1 10 10 | 5 20 10 | 10 20 5 | 10 10 1 | 5 2 | 128
xo xo ox3oo3oo3oo *e3oo&#zx → height = 0
(tegum sum of {4} and perp tac)
(tegum product of {4} with tac)
o. o. o.3o.3o.3o. *e3o. | 4 * ♦ 1 1 10 0 | 10 10 40 0 | 40 40 80 0 | 80 80 80 0 0 | 80 80 16 16 | 16 16 16 16
.o .o .o3.o3.o3.o *e3.o | * 10 ♦ 0 0 4 8 | 2 2 32 24 | 16 16 96 32 | 48 48 128 8 8 | 64 64 32 32 | 16 16 16 16
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
x. .. .. .. .. .. .. | 2 0 | 2 * * * ♦ 10 0 0 0 | 40 0 0 0 | 80 0 0 0 0 | 80 0 0 0 | 16 16 0 0
.. x. .. .. .. .. .. | 2 0 | * 2 * * ♦ 0 10 0 0 | 0 40 0 0 | 0 80 0 0 0 | 0 80 0 0 | 0 0 16 16
oo oo oo3oo3oo3oo *e3oo&#x | 1 1 | * * 40 * ♦ 1 1 8 0 | 8 8 24 0 | 24 24 32 0 0 | 32 32 8 8 | 8 8 8 8
.. .. .x .. .. .. .. | 0 2 | * * * 40 ♦ 0 0 4 6 | 2 2 24 12 | 12 12 48 4 4 | 24 24 16 16 | 8 8 8 8
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
xo .. .. .. .. .. ..&#x | 2 1 | 1 0 2 0 | 20 * * * ♦ 8 0 0 0 | 24 0 0 0 0 | 32 0 0 0 | 8 8 0 0
.. xo .. .. .. .. ..&#x | 2 1 | 0 1 2 0 | * 20 * * ♦ 0 8 0 0 | 0 24 0 0 0 | 0 32 0 0 | 0 0 8 8
.. .. ox .. .. .. ..&#x | 1 2 | 0 0 2 1 | * * 160 * ♦ 1 1 6 0 | 6 6 12 0 0 | 12 12 4 4 | 4 4 4 4
.. .. .x3.o .. .. .. | 0 3 | 0 0 0 3 | * * * 80 ♦ 0 0 4 4 | 2 2 16 2 2 | 8 8 8 8 | 4 4 4 4
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
xo .. ox .. .. .. ..&#x ♦ 2 2 | 1 0 4 1 | 2 0 2 0 | 80 * * * ♦ 6 0 0 0 0 | 12 0 0 0 | 4 4 0 0
.. xo ox .. .. .. ..&#x ♦ 2 2 | 0 1 4 1 | 0 2 2 0 | * 80 * * ♦ 0 6 0 0 0 | 0 12 0 0 | 0 0 4 4
.. .. ox3oo .. .. ..&#x ♦ 1 3 | 0 0 3 3 | 0 0 3 1 | * * 320 * ♦ 1 1 4 0 0 | 4 4 2 2 | 2 2 2 2
.. .. .x3.o3.o .. .. ♦ 0 4 | 0 0 0 6 | 0 0 0 4 | * * * 80 ♦ 0 0 4 1 1 | 2 2 4 4 | 2 2 2 2
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
xo .. ox3oo .. .. ..&#x ♦ 2 3 | 1 0 6 3 | 3 0 6 1 | 3 0 2 0 | 160 * * * * | 4 0 0 0 | 2 2 0 0
.. xo ox3oo .. .. ..&#x ♦ 2 3 | 0 1 6 3 | 0 3 6 1 | 0 3 2 0 | * 160 * * * | 0 4 0 0 | 0 0 2 2
.. .. ox3oo3oo .. ..&#x ♦ 1 4 | 0 0 4 6 | 0 0 6 4 | 0 0 4 1 | * * 320 * * | 1 1 1 1 | 1 1 1 1
.. .. .x3.o3.o3.o .. ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 16 * | 0 0 4 0 | 2 0 2 0
.. .. .x3.o3.o .. *e3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * * 16 | 0 0 0 4 | 0 2 0 2
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
xo .. ox3oo3oo .. ..&#x ♦ 2 4 | 1 0 8 6 | 4 0 12 4 | 6 0 8 1 | 4 0 2 0 0 | 160 * * * | 1 1 0 0
.. xo ox3oo3oo .. ..&#x ♦ 2 4 | 0 1 8 6 | 0 4 12 4 | 0 6 8 1 | 0 4 2 0 0 | * 160 * * | 0 0 1 1
.. .. ox3oo3oo3oo ..&#x ♦ 1 5 | 0 0 5 10 | 0 0 10 10 | 0 0 10 5 | 0 0 5 1 0 | * * 64 * | 1 0 1 0
.. .. ox3oo3oo .. *e3oo&#x ♦ 1 5 | 0 0 5 10 | 0 0 10 10 | 0 0 10 5 | 0 0 5 0 1 | * * * 64 | 0 1 0 1
----------------------------+------+-----------+--------------+--------------+-------------------+---------------+------------
xo .. ox3oo3oo3oo ..&#x ♦ 2 5 | 1 0 10 10 | 5 0 20 10 | 10 0 20 5 | 10 0 10 1 0 | 5 0 2 0 | 32 * * *
xo .. ox3oo3oo .. *e3oo&#x ♦ 2 5 | 1 0 10 10 | 5 0 20 10 | 10 0 20 5 | 10 0 10 0 1 | 5 0 0 2 | * 32 * *
.. xo ox3oo3oo3oo ..&#x ♦ 2 5 | 0 1 10 10 | 0 5 20 10 | 0 10 20 5 | 0 10 10 1 0 | 0 5 2 0 | * * 32 *
.. xo ox3oo3oo .. *e3oo&#x ♦ 2 5 | 0 1 10 10 | 0 5 20 10 | 0 10 20 5 | 0 10 10 0 1 | 0 5 0 2 | * * * 32
xoo3ooo3oox oxo3ooo4ooo&#xt → both heights = 1/sqrt(8) = 0.353553
(tet || pseudo perp oct || dual tet)
o..3o..3o.. o..3o..4o.. & | 8 * ♦ 3 6 3 0 | 3 18 9 12 18 0 | 1 54 18 4 3 36 36 8 | 24 6 36 18 108 24 24 | 48 12 24 36 72 | 32 8 24
.o.3.o.3.o. .o.3.o.4.o. | * 6 ♦ 0 8 0 4 | 0 12 0 32 12 4 | 0 24 8 0 0 48 48 32 | 8 2 32 6 96 48 48 | 32 8 32 24 96 | 32 8 24
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
x.. ... ... ... ... ... & | 2 0 | 12 * * * ♦ 2 6 2 0 0 0 | 1 12 12 2 1 12 0 0 | 12 6 24 6 24 8 0 | 24 12 16 24 16 | 16 8 8
oo.3oo.3oo. oo.3oo.4oo.&#x & | 1 1 | * 48 * * ♦ 0 3 0 4 3 0 | 0 9 3 0 0 12 12 4 | 4 1 12 3 36 12 12 | 16 4 12 12 36 | 16 4 12
o.o3o.o3o.o o.o3o.o4o.o&#x | 2 0 | * * 12 * ♦ 0 0 4 0 6 0 | 0 24 0 2 2 0 12 0 | 12 0 0 12 48 0 8 | 24 0 0 24 32 | 16 0 16
... ... ... .x. ... ... | 0 2 | * * * 12 ♦ 0 0 0 8 0 2 | 0 0 0 0 0 12 12 16 | 0 0 8 0 24 24 24 | 8 2 16 6 48 | 16 4 12
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
x..3o.. ... ... ... ... & | 3 0 | 3 0 0 0 | 8 * * * * * ♦ 1 0 6 1 0 0 0 0 | 6 6 12 0 0 0 0 | 12 12 8 0 0 | 8 8 0
xo. ... ... ... ... ...&#x & | 2 1 | 1 2 0 0 | * 72 * * * * ♦ 0 2 2 0 0 4 0 0 | 2 1 8 1 8 4 0 | 8 4 8 4 8 | 8 4 4
x.o ... ... ... ... ...&#x & | 3 0 | 1 0 2 0 | * * 24 * * * ♦ 0 6 0 1 1 0 0 0 | 6 0 0 6 12 0 0 | 12 0 0 12 8 | 8 0 8
... ... ... ox. ... ...&#x & | 1 2 | 0 2 0 1 | * * * 96 * * ♦ 0 0 0 0 0 3 3 2 | 0 0 3 0 9 6 6 | 4 1 6 3 18 | 8 2 6
ooo3ooo3ooo ooo3ooo4ooo&#x | 2 1 | 0 2 1 0 | * * * * 72 * ♦ 0 4 0 0 0 0 4 0 | 2 0 0 2 16 0 4 | 8 0 0 8 16 | 8 0 8
... ... ... .x.3.o. ... | 0 3 | 0 0 0 3 | * * * * * 8 ♦ 0 0 0 0 0 0 0 8 | 0 0 0 0 0 12 12 | 0 0 8 0 24 | 8 2 6
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
x..3o..3o.. ... ... ... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 2 * * * * * * * ♦ 0 6 0 0 0 0 0 | 0 12 0 0 0 | 0 8 0
xoo ... ... ... ... ...&#x & ♦ 3 1 | 1 3 2 0 | 0 1 1 0 2 0 | * 144 * * * * * * ♦ 1 0 0 1 4 0 0 | 4 0 0 4 4 | 4 0 4
xo.3oo. ... ... ... ...&#x & ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 0 | * * 48 * * * * * ♦ 1 1 4 0 0 0 0 | 4 4 4 0 0 | 4 4 0
x.o3o.o ... ... ... ...&#x & ♦ 4 0 | 3 0 3 0 | 1 0 3 0 0 0 | * * * 8 * * * * ♦ 6 0 0 0 0 0 0 | 12 0 0 0 0 | 8 0 0
x.o ... o.x ... ... ...&#x ♦ 4 0 | 2 0 4 0 | 0 0 4 0 0 0 | * * * * 6 * * * ♦ 0 0 0 6 0 0 0 | 0 0 0 12 0 | 0 0 8
xo. ... ... ox. ... ...&#x & ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 0 | * * * * * 144 * * ♦ 0 0 2 0 2 2 0 | 2 1 4 1 4 | 4 2 2
... ... ... oxo ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 0 0 2 2 0 | * * * * * * 144 * ♦ 0 0 0 0 4 0 2 | 2 0 0 2 8 | 4 0 4
... ... ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 1 | * * * * * * * 64 ♦ 0 0 0 0 0 3 3 | 0 0 3 0 9 | 4 1 3
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
xoo3ooo ... ... ... ...&#x & ♦ 4 1 | 3 4 3 0 | 1 3 3 0 3 0 | 0 3 1 1 0 0 0 0 | 48 * * * * * * | 4 0 0 0 0 | 4 0 0
xo.3oo.3oo. ... ... ...&#x & ♦ 4 1 | 6 4 0 0 | 4 6 0 0 0 0 | 1 0 4 0 0 0 0 0 | * 12 * * * * * | 0 4 0 0 0 | 0 4 0
xo.3oo. ... ox. ... ...&#x & ♦ 3 2 | 3 6 0 1 | 1 6 0 3 0 0 | 0 0 2 0 0 3 0 0 | * * 96 * * * * | 1 1 2 0 0 | 2 2 0
xoo ... oox ... ... ...&#x ♦ 4 1 | 2 4 4 0 | 0 2 4 0 4 0 | 0 4 0 0 1 0 0 0 | * * * 36 * * * | 0 0 0 4 0 | 0 0 4
xoo ... ... oxo ... ...&#x & ♦ 3 2 | 1 6 2 1 | 0 2 1 3 4 0 | 0 2 0 0 0 1 2 0 | * * * * 288 * * | 1 0 0 1 2 | 2 0 2
xo. ... ... ox.3oo. ...&#x & ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 1 | 0 0 0 0 0 3 0 2 | * * * * * 96 * | 0 0 2 0 2 | 2 1 1
... ... ... oxo3ooo ...&#x ♦ 2 3 | 0 6 1 3 | 0 0 0 6 3 1 | 0 0 0 0 0 0 3 2 | * * * * * * 96 | 0 0 0 0 4 | 2 0 2
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
xoo3ooo ... oxo ... ...&#x & ♦ 4 2 | 3 8 3 1 | 1 6 3 4 6 0 | 0 6 2 1 0 3 3 0 | 2 0 1 0 3 0 0 | 96 * * * * | 2 0 0
xo.3oo.3oo. ox. ... ...&#x & ♦ 4 2 | 6 8 0 1 | 4 12 0 4 0 0 | 1 0 8 0 0 6 0 0 | 0 2 4 0 0 0 0 | * 24 * * * | 0 2 0
xo.3oo. ... ox.3oo. ...&#x & ♦ 3 3 | 3 9 0 3 | 1 9 0 9 0 1 | 0 0 3 0 0 9 0 3 | 0 0 3 0 0 3 0 | * * 64 * * | 1 1 0
xoo ... oox oxo ... ...&#x ♦ 4 2 | 2 8 4 1 | 0 4 4 4 8 0 | 0 8 0 0 1 2 4 0 | 0 0 0 2 4 0 0 | * * * 72 * | 0 0 2
xoo ... ... oxo3ooo ...&#x & ♦ 3 3 | 1 9 2 3 | 0 3 1 9 6 1 | 0 3 0 0 0 3 6 3 | 0 0 0 0 3 1 2 | * * * * 192 | 1 0 1
------------------------------+-----+-------------+-----------------+-------------------------+-----------------------+-----------------+---------
xoo3ooo ... oxo3ooo ...&#x & ♦ 4 3 | 3 12 3 3 | 1 9 3 12 9 1 | 0 9 3 1 0 9 9 4 | 3 0 3 0 9 3 3 | 3 0 1 0 3 | 64 * *
xo.3oo.3oo. ox.3oo. ...&#x & ♦ 4 3 | 6 12 0 3 | 4 18 0 12 0 1 | 1 0 12 0 0 18 0 4 | 0 3 12 0 0 6 0 | 0 3 4 0 0 | * 16 *
xoo ... oox oxo3ooo ...&#x ♦ 4 3 | 2 12 4 3 | 0 6 4 12 12 1 | 0 12 0 0 1 6 12 4 | 0 0 0 3 12 2 4 | 0 0 0 3 4 | * * 48
xoo3ooo3oox ooo3oxo3ooo&#xt → both heights = 1/sqrt(8) = 0.353553
(tet || pseudo perp oct || dual tet)
o..3o..3o.. o..3o..3o.. & | 8 * ♦ 3 6 3 0 | 3 18 9 12 18 0 0 | 1 54 18 4 3 36 4 36 4 | 24 6 36 18 12 108 12 12 12 | 48 12 12 12 36 36 36 | 16 16 4 4 12 12
.o.3.o.3.o. .o.3.o.3.o. | * 6 ♦ 0 8 0 4 | 0 12 0 32 12 2 2 | 0 24 8 0 0 48 16 48 16 | 8 2 32 6 24 96 24 24 24 | 32 8 16 16 24 48 48 | 16 16 4 4 12 12
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
x.. ... ... ... ... ... & | 2 0 | 12 * * * ♦ 2 6 2 0 0 0 0 | 1 12 12 2 1 12 0 0 0 | 12 6 24 6 4 24 4 0 0 | 24 12 8 8 24 8 8 | 8 8 4 4 4 4
oo.3oo.3oo. oo.3oo.3oo.&#x & | 1 1 | * 48 * * ♦ 0 3 0 4 3 0 0 | 0 9 3 0 0 12 2 12 2 | 4 1 12 3 6 36 6 6 6 | 16 4 6 6 12 18 18 | 8 8 2 2 6 6
o.o3o.o3o.o o.o3o.o3o.o&#x | 2 0 | * * 12 * ♦ 0 0 4 0 6 0 0 | 0 24 0 2 2 0 0 12 0 | 12 0 0 12 0 48 0 4 4 | 24 0 0 0 24 16 16 | 8 8 0 0 8 8
... ... ... ... .x. ... | 0 2 | * * * 12 ♦ 0 0 0 8 0 1 1 | 0 0 0 0 0 12 8 12 8 | 0 0 8 0 12 24 12 12 12 | 8 2 8 8 6 24 24 | 8 8 2 2 6 6
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
x..3o.. ... ... ... ... & | 3 0 | 3 0 0 0 | 8 * * * * * * ♦ 1 0 6 1 0 0 0 0 0 | 6 6 12 0 0 0 0 0 0 | 12 12 4 4 0 0 0 | 4 4 4 4 0 0
xo. ... ... ... ... ...&#x & | 2 1 | 1 2 0 0 | * 72 * * * * * ♦ 0 2 2 0 0 4 0 0 0 | 2 1 8 1 2 8 2 0 0 | 8 4 4 4 4 4 4 | 4 4 2 2 2 2
x.o ... ... ... ... ...&#x & | 3 0 | 1 0 2 0 | * * 24 * * * * ♦ 0 6 0 1 1 0 0 0 0 | 6 0 0 6 0 12 0 0 0 | 12 0 0 0 12 4 4 | 4 4 0 0 4 4
... ... ... ... ox. ...&#x & | 1 2 | 0 2 0 1 | * * * 96 * * * ♦ 0 0 0 0 0 3 1 3 1 | 0 0 3 0 3 9 3 3 3 | 4 1 3 3 3 9 9 | 4 4 1 1 3 3
ooo3ooo3ooo ooo3ooo3ooo&#x | 2 1 | 0 2 1 0 | * * * * 72 * * ♦ 0 4 0 0 0 0 0 4 0 | 2 0 0 2 0 16 0 2 2 | 8 0 0 0 8 8 8 | 4 4 0 0 4 4
... ... ... .o.3.x. ... | 0 3 | 0 0 0 3 | * * * * * 4 * ♦ 0 0 0 0 0 0 8 0 0 | 0 0 0 0 12 0 0 12 0 | 0 0 8 0 0 24 0 | 8 0 2 0 6 0
... ... ... ... .x.3.o. | 0 3 | 0 0 0 3 | * * * * * * 4 ♦ 0 0 0 0 0 0 0 0 8 | 0 0 0 0 0 0 12 0 12 | 0 0 0 8 0 0 24 | 0 8 0 2 0 6
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
x..3o..3o.. ... ... ... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 2 * * * * * * * * ♦ 0 6 0 0 0 0 0 0 0 | 0 12 0 0 0 0 0 | 0 0 4 4 0 0
xoo ... ... ... ... ...&#x & ♦ 3 1 | 1 3 2 0 | 0 1 1 0 2 0 0 | * 144 * * * * * * * ♦ 1 0 0 1 0 4 0 0 0 | 4 0 0 0 4 2 2 | 2 2 0 0 2 2
xo.3oo. ... ... ... ...&#x & ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 0 0 | * * 48 * * * * * * ♦ 1 1 4 0 0 0 0 0 0 | 4 4 2 2 0 0 0 | 2 2 2 2 0 0
x.o3o.o ... ... ... ...&#x & ♦ 4 0 | 3 0 3 0 | 1 0 3 0 0 0 0 | * * * 8 * * * * * ♦ 6 0 0 0 0 0 0 0 0 | 12 0 0 0 0 0 0 | 4 4 0 0 0 0
x.o ... o.x ... ... ...&#x ♦ 4 0 | 2 0 4 0 | 0 0 4 0 0 0 0 | * * * * 6 * * * * ♦ 0 0 0 6 0 0 0 0 0 | 0 0 0 0 12 0 0 | 0 0 0 0 4 4
xo. ... ... ... ox. ...&#x & ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 0 0 | * * * * * 144 * * * ♦ 0 0 2 0 1 2 1 0 0 | 2 1 2 2 1 2 2 | 2 2 1 1 1 1
... ... ... oo.3ox. ...&#x & ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 1 0 | * * * * * * 32 * * ♦ 0 0 0 0 3 0 0 3 0 | 0 0 3 0 0 9 0 | 4 0 1 0 3 0
... ... ... ... oxo ...&#x ♦ 2 2 | 0 4 1 1 | 0 0 0 2 2 0 0 | * * * * * * * 144 * ♦ 0 0 0 0 0 4 0 1 1 | 2 0 0 0 2 4 4 | 2 2 0 0 2 2
... ... ... ... ox.3oo.&#x & ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 0 1 | * * * * * * * * 32 ♦ 0 0 0 0 0 0 3 0 3 | 0 0 0 3 0 0 9 | 0 4 0 1 0 3
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
xoo3ooo ... ... ... ...&#x & ♦ 4 1 | 3 4 3 0 | 1 3 3 0 3 0 0 | 0 3 1 1 0 0 0 0 0 | 48 * * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 0 0
xo.3oo.3oo. ... ... ...&#x & ♦ 4 1 | 6 4 0 0 | 4 6 0 0 0 0 0 | 1 0 4 0 0 0 0 0 0 | * 12 * * * * * * * | 0 4 0 0 0 0 0 | 0 0 2 2 0 0
xo.3oo. ... ... ox. ...&#x & ♦ 3 2 | 3 6 0 1 | 1 6 0 3 0 0 0 | 0 0 2 0 0 3 0 0 0 | * * 96 * * * * * * | 1 1 1 1 0 0 0 | 1 1 1 1 0 0
xoo ... oox ... ... ...&#x ♦ 4 1 | 2 4 4 0 | 0 2 4 0 4 0 0 | 0 4 0 0 1 0 0 0 0 | * * * 36 * * * * * | 0 0 0 0 4 0 0 | 0 0 0 0 2 2
xo. ... ... oo.3ox. ...&#x & ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 1 0 | 0 0 0 0 0 3 2 0 0 | * * * * 48 * * * * | 0 0 2 0 0 2 0 | 2 0 1 0 1 0
xoo ... ... ... oxo ...&#x & ♦ 3 2 | 1 6 2 1 | 0 2 1 3 4 0 0 | 0 2 0 0 0 1 0 2 0 | * * * * * 288 * * * | 1 0 0 0 1 1 1 | 1 1 0 0 1 1
xo. ... ... ... ox.3oo.&#x & ♦ 2 3 | 1 6 0 3 | 0 3 0 6 0 0 1 | 0 0 0 0 0 3 0 0 2 | * * * * * * 48 * * | 0 0 0 2 0 0 2 | 0 2 0 1 0 1
... ... ... ooo3oxo ...&#x ♦ 2 3 | 0 6 1 3 | 0 0 0 6 3 1 0 | 0 0 0 0 0 0 2 3 0 | * * * * * * * 48 * | 0 0 0 0 0 4 0 | 2 0 0 0 2 0
... ... ... ... oxo3ooo&#x ♦ 2 3 | 0 6 1 3 | 0 0 0 6 3 0 1 | 0 0 0 0 0 0 0 3 2 | * * * * * * * * 48 | 0 0 0 0 0 0 4 | 0 2 0 0 0 2
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
xoo3ooo ... ... oxo ...&#x & ♦ 4 2 | 3 8 3 1 | 1 6 3 4 6 0 0 | 0 6 2 1 0 3 0 3 0 | 2 0 1 0 0 3 0 0 0 | 96 * * * * * * | 1 1 0 0 0 0
xo.3oo.3oo. ... ox. ...&#x & ♦ 4 2 | 6 8 0 1 | 4 12 0 4 0 0 0 | 1 0 8 0 0 6 0 0 0 | 0 2 4 0 0 0 0 0 0 | * 24 * * * * * | 0 0 1 1 0 0
xo.3oo. ... oo.3ox. ...&#x & ♦ 3 3 | 3 9 0 3 | 1 9 0 9 0 1 0 | 0 0 3 0 0 9 3 0 0 | 0 0 3 0 3 0 0 0 0 | * * 32 * * * * | 1 0 1 0 0 0
xo.3oo. ... ... ox.3oo.&#x & ♦ 3 3 | 3 9 0 3 | 1 9 0 9 0 0 1 | 0 0 3 0 0 9 0 0 3 | 0 0 3 0 0 0 3 0 0 | * * * 32 * * * | 0 1 0 1 0 0
xoo ... oox ... oxo ...&#x ♦ 4 2 | 2 8 4 1 | 0 4 4 4 8 0 0 | 0 8 0 0 1 2 0 4 0 | 0 0 0 2 0 4 0 0 0 | * * * * 72 * * | 0 0 0 0 1 1
xoo ... ... ooo3oxo ...&#x & ♦ 3 3 | 1 9 2 3 | 0 3 1 9 6 1 0 | 0 3 0 0 0 3 3 6 0 | 0 0 0 0 1 3 0 2 0 | * * * * * 96 * | 1 0 0 0 1 0
xoo ... ... ... oxo3ooo&#x & ♦ 3 3 | 1 9 2 3 | 0 3 1 9 6 0 1 | 0 3 0 0 0 3 0 6 3 | 0 0 0 0 0 3 1 0 2 | * * * * * * 96 | 0 1 0 0 0 1
------------------------------+-----+-------------+-------------------+----------------------------+-----------------------------+----------------------+----------------
xoo3ooo ... ooo3oxo ...&#x & ♦ 4 3 | 3 12 3 3 | 1 9 3 12 9 1 0 | 0 9 3 1 0 9 4 9 0 | 3 0 3 0 3 9 0 3 0 | 3 0 1 0 0 3 0 | 32 * * * * *
xoo3ooo ... ... oxo3ooo&#x & ♦ 4 3 | 3 12 3 3 | 1 9 3 12 9 0 1 | 0 9 3 1 0 9 0 9 4 | 3 0 3 0 0 9 3 0 3 | 3 0 0 1 0 0 3 | * 32 * * * *
xo.3oo.3oo. oo.3ox. ...&#x & ♦ 4 3 | 6 12 0 3 | 4 18 0 12 0 1 0 | 1 0 12 0 0 18 4 0 0 | 0 3 12 0 6 0 0 0 0 | 0 3 4 0 0 0 0 | * * 8 * * *
xo.3oo.3oo. ... ox.3oo.&#x & ♦ 4 3 | 6 12 0 3 | 4 18 0 12 0 0 1 | 1 0 12 0 0 18 0 0 4 | 0 3 12 0 0 0 6 0 0 | 0 3 0 4 0 0 0 | * * * 8 * *
xoo ... oox ooo3oxo ...&#x ♦ 4 3 | 2 12 4 3 | 0 6 4 12 12 1 0 | 0 12 0 0 1 6 4 12 0 | 0 0 0 3 2 12 0 4 0 | 0 0 0 0 3 4 0 | * * * * 24 *
xoo ... oox ... oxo3ooo&#x ♦ 4 3 | 2 12 4 3 | 0 6 4 12 12 0 1 | 0 12 0 0 1 6 0 12 4 | 0 0 0 3 0 12 2 0 4 | 0 0 0 0 3 0 4 | * * * * * 24
xo3oo4oo ox3oo3oo4oo&#zx → height = 0
(tegum sum of oct and perp hex)
(tegum product of oct with hex)
o.3o.4o. o.3o.3o.4o. | 6 * ♦ 4 8 0 | 4 32 24 0 | 32 96 32 0 | 96 128 16 | 128 64 | 64
.o3.o4.o .o3.o3.o4.o | * 8 ♦ 0 6 6 | 0 12 36 12 | 8 72 72 8 | 48 144 48 | 96 96 | 64
------------------------+-----+----------+-------------+---------------+------------+---------+----
x. .. .. .. .. .. .. | 2 0 | 12 * * ♦ 2 8 0 0 | 16 24 0 0 | 48 32 0 | 64 16 | 32
oo3oo4oo oo3oo3oo4oo&#x | 1 1 | * 48 * ♦ 0 4 6 0 | 4 24 12 0 | 24 48 8 | 48 32 | 32
.. .. .. .x .. .. .. | 0 2 | * * 24 ♦ 0 0 6 4 | 0 12 24 4 | 8 48 24 | 32 48 | 32
------------------------+-----+----------+-------------+---------------+------------+---------+----
x.3o. .. .. .. .. .. | 3 0 | 3 0 0 | 8 * * * ♦ 8 0 0 0 | 24 0 0 | 32 0 | 16
xo .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 96 * * ♦ 2 6 0 0 | 12 12 0 | 24 8 | 16
.. .. .. ox .. .. ..&#x | 1 2 | 0 2 1 | * * 144 * ♦ 0 4 4 0 | 4 4 16 | 16 16 | 16
.. .. .. .x3.o .. .. | 0 3 | 0 0 3 | * * * 32 ♦ 0 0 6 2 | 0 12 12 | 8 24 | 16
------------------------+-----+----------+-------------+---------------+------------+---------+----
xo3oo .. .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | 64 * * * ♦ 6 0 0 | 12 0 | 8
xo .. .. ox .. .. ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 288 * * ♦ 2 4 0 | 8 4 | 8
.. .. .. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * 192 * ♦ 0 4 2 | 4 8 | 8
.. .. .. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * 16 ♦ 0 0 6 | 0 12 | 8
------------------------+-----+----------+-------------+---------------+------------+---------+----
xo3oo .. ox .. .. ..&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 2 3 0 0 | 192 * * | 4 0 | 4
xo .. .. ox3oo .. ..&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 3 2 0 | * 384 * | 2 2 | 4
.. .. .. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 4 1 | * * 96 | 0 4 | 4
------------------------+-----+----------+-------------+---------------+------------+---------+----
xo3oo .. ox3oo .. ..&#x ♦ 3 3 | 3 9 3 | 1 9 9 1 | 3 9 3 0 | 3 3 0 | 256 * | 2
xo .. .. ox3oo3oo ..&#x ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 6 8 1 | 0 4 2 | * 192 | 2
------------------------+-----+----------+-------------+---------------+------------+---------+----
xo3oo .. ox3oo3oo ..&#x ♦ 3 4 | 3 12 6 | 1 12 18 4 | 4 18 12 1 | 6 12 3 | 4 3 | 128
oo3xo3oo ox3oo3oo *e3oo&#zx → height = 0
(tegum sum of oct and perp hex)
(tegum product of oct with hex)
o.3o.3o. o.3o.3o. *e3o. | 6 * ♦ 4 8 0 | 2 2 32 24 0 | 16 16 96 32 0 0 | 48 48 128 8 8 | 64 64 32 32 | 16 16 16 16
.o3.o3.o .o3.o3.o *e3.o | * 8 ♦ 0 6 6 | 0 0 12 36 12 | 4 4 72 72 4 4 | 24 24 144 24 24 | 48 48 48 48 | 16 16 16 16
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
.. x. .. .. .. .. .. | 2 0 | 12 * * ♦ 1 1 8 0 0 | 8 8 24 0 0 0 | 24 24 32 0 0 | 32 32 8 8 | 8 8 8 8
oo3oo3oo oo3oo3oo *e3oo&#x | 1 1 | * 48 * ♦ 0 0 4 6 0 | 2 2 24 12 0 0 | 12 12 48 4 4 | 24 24 16 16 | 8 8 8 8
.. .. .. .x .. .. .. | 0 2 | * * 24 ♦ 0 0 0 6 4 | 0 0 12 24 2 2 | 4 4 48 12 12 | 16 16 24 24 | 8 8 8 8
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
o.3x. .. .. .. .. .. | 3 0 | 3 0 0 | 4 * * * * ♦ 8 0 0 0 0 0 | 24 0 0 0 0 | 32 0 0 0 | 8 8 0 0
.. x.3o. .. .. .. .. | 3 0 | 3 0 0 | * 4 * * * ♦ 0 8 0 0 0 0 | 0 24 0 0 0 | 0 32 0 0 | 0 0 8 8
.. xo .. .. .. .. ..&#x | 2 1 | 1 2 0 | * * 96 * * ♦ 1 1 6 0 0 0 | 6 6 12 0 0 | 12 12 4 4 | 4 4 4 4
.. .. .. ox .. .. ..&#x | 1 2 | 0 2 1 | * * * 144 * ♦ 0 0 4 4 0 0 | 2 2 16 2 2 | 8 8 8 8 | 4 4 4 4
.. .. .. .x3.o .. .. | 0 3 | 0 0 3 | * * * * 32 ♦ 0 0 0 6 1 1 | 0 0 12 6 6 | 4 4 12 12 | 4 4 4 4
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
oo3xo .. .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 | 32 * * * * * ♦ 6 0 0 0 0 | 12 0 0 0 | 4 4 0 0
.. xo3oo .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 0 1 3 0 0 | * 32 * * * * ♦ 0 6 0 0 0 | 0 12 0 0 | 0 0 4 4
.. xo .. ox .. .. ..&#x ♦ 2 2 | 1 4 1 | 0 0 2 2 0 | * * 288 * * * ♦ 1 1 4 0 0 | 4 4 2 2 | 2 2 2 2
.. .. .. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 0 3 1 | * * * 192 * * ♦ 0 0 4 1 1 | 2 2 4 4 | 2 2 2 2
.. .. .. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 8 * ♦ 0 0 0 6 0 | 0 0 12 0 | 4 0 4 0
.. .. .. .x3.o .. *e3.o ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 8 ♦ 0 0 0 0 6 | 0 0 0 12 | 0 4 0 4
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
oo3xo .. ox .. .. ..&#x ♦ 3 2 | 3 6 1 | 1 0 6 3 0 | 2 0 3 0 0 0 | 96 * * * * | 4 0 0 0 | 2 2 0 0
.. xo3oo ox .. .. ..&#x ♦ 3 2 | 3 6 1 | 0 1 6 3 0 | 0 2 3 0 0 0 | * 96 * * * | 0 4 0 0 | 0 0 2 2
.. xo .. ox3oo .. ..&#x ♦ 2 3 | 1 6 3 | 0 0 3 6 1 | 0 0 3 2 0 0 | * * 384 * * | 1 1 1 1 | 1 1 1 1
.. .. .. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 0 0 6 4 | 0 0 0 4 1 0 | * * * 48 * | 0 0 4 0 | 2 0 2 0
.. .. .. ox3oo .. *e3oo&#x ♦ 1 4 | 0 4 6 | 0 0 0 6 4 | 0 0 0 4 0 1 | * * * * 48 | 0 0 0 4 | 0 2 0 2
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
oo3xo .. ox3oo .. ..&#x ♦ 3 3 | 3 9 3 | 1 0 9 9 1 | 3 0 9 3 0 0 | 3 0 3 0 0 | 128 * * * | 1 1 0 0
.. xo3oo ox3oo .. ..&#x ♦ 3 3 | 3 9 3 | 0 1 9 9 1 | 0 3 9 3 0 0 | 0 3 3 0 0 | * 128 * * | 0 0 1 1
.. xo .. ox3oo3oo ..&#x ♦ 2 4 | 1 8 6 | 0 0 4 12 4 | 0 0 6 8 1 0 | 0 0 4 2 0 | * * 96 * | 1 0 1 0
.. xo .. ox3oo .. *e3oo&#x ♦ 2 4 | 1 8 6 | 0 0 4 12 4 | 0 0 6 8 0 1 | 0 0 4 0 2 | * * * 96 | 0 1 0 1
---------------------------+-----+----------+---------------+-------------------+-----------------+---------------+------------
oo3xo .. ox3oo3oo ..&#x ♦ 3 4 | 3 12 6 | 1 0 12 18 4 | 4 0 18 12 1 0 | 6 0 12 3 0 | 4 0 3 0 | 32 * * *
oo3xo .. ox3oo .. *e3oo&#x ♦ 3 4 | 3 12 6 | 1 0 12 18 4 | 4 0 18 12 0 1 | 6 0 12 0 3 | 4 0 0 3 | * 32 * *
.. xo3oo ox3oo3oo ..&#x ♦ 3 4 | 3 12 6 | 0 1 12 18 4 | 0 4 18 12 1 0 | 0 6 12 3 0 | 0 4 3 0 | * * 32 *
.. xo3oo ox3oo .. *e3oo&#x ♦ 3 4 | 3 12 6 | 0 1 12 18 4 | 0 4 18 12 0 1 | 0 6 12 0 3 | 0 4 0 3 | * * * 32
oxoo3oooo3oooo3oooo3ooox&#xr → heights = sqrt(5/12) = 0.645497
(pt || ( pseudo hix || pseudo inv hix ) || pt)
o(..).3o(..).3o(..).3o(..).3o(..). & | 2 * ♦ 6 6 0 0 | 15 15 30 0 0 | 20 20 60 60 0 0 0 | 15 15 60 90 60 0 0 0 | 6 6 30 60 60 30 0 0 0 0 | 1 1 6 15 20 15 6
.(o.).3.(o.).3.(o.).3.(o.).3.(o.). & | * 12 ♦ 1 1 5 5 | 5 5 10 10 30 | 10 10 30 30 10 40 30 | 10 10 40 60 40 5 25 50 | 5 5 25 50 50 25 1 6 15 10 | 1 1 6 15 20 15 6
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(o.).3o(o.).3o(o.).3o(o.).3o(o.).&#x & | 1 1 | 12 * * * ♦ 5 0 5 0 0 | 10 0 20 10 0 0 0 | 10 0 30 30 10 0 0 0 | 5 0 20 30 20 5 0 0 0 0 | 1 0 5 10 10 5 1
o(.o).3o(.o).3o(.o).3o(.o).3o(.o).&#x & | 1 1 | * 12 * * ♦ 0 5 5 0 0 | 0 10 10 20 0 0 0 | 0 10 10 30 30 0 0 0 | 0 5 5 20 30 20 0 0 0 0 | 0 1 1 5 10 10 5
.(x.). .(..). .(..). .(..). .(..). & | 0 2 | * * 30 * ♦ 1 1 0 4 4 | 4 4 4 4 6 12 6 | 6 6 12 12 12 4 12 16 | 4 4 12 16 16 12 1 4 7 4 | 1 1 4 7 8 7 4
.(oo).3.(oo).3.(oo).3.(oo).3.(oo).&#x | 0 2 | * * * 30 ♦ 0 0 2 0 8 | 0 0 8 8 0 12 12 | 0 0 12 24 12 0 8 24 | 0 0 8 24 24 8 0 2 8 6 | 0 0 2 8 12 8 2
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(x.). .(..). .(..). .(..). .(..).&#x & | 1 2 | 2 0 1 0 | 30 * * * * ♦ 4 0 4 0 0 0 0 | 6 0 12 6 0 0 0 0 | 4 0 12 12 4 0 0 0 0 0 | 1 0 4 6 4 1 0
.(..). .(..). .(..). .(..). o(.x).&#x & | 1 2 | 0 2 1 0 | * 30 * * * ♦ 0 4 0 4 0 0 0 | 0 6 0 6 12 0 0 0 | 0 4 0 4 12 12 0 0 0 0 | 0 1 0 1 4 6 4
o(oo).3o(oo).3o(oo).3o(oo).3o(oo).&#x & | 1 2 | 1 1 0 1 | * * 60 * * ♦ 0 0 4 4 0 0 0 | 0 0 6 12 6 0 0 0 | 0 0 4 12 12 4 0 0 0 0 | 0 0 1 4 6 4 1
.(x.).3.(o.). .(..). .(..). .(..). & | 0 3 | 0 0 3 0 | * * * 40 * ♦ 1 1 0 0 3 3 0 | 3 3 3 0 3 3 6 3 | 3 3 6 3 3 6 1 3 3 1 | 1 1 3 3 2 3 3
.(xo). .(..). .(..). .(..). .(..).&#x & | 0 3 | 0 0 1 2 | * * * * 120 ♦ 0 0 1 1 0 3 3 | 0 0 3 6 3 0 3 9 | 0 0 3 9 9 3 0 1 4 3 | 0 0 1 4 6 4 1
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(x.).3o(o.). .(..). .(..). .(..).&#x & ♦ 1 3 | 3 0 3 0 | 3 0 0 1 0 | 40 * * * * * * ♦ 3 0 3 0 0 0 0 0 | 3 0 6 3 0 0 0 0 0 0 | 1 0 3 3 1 0 0
.(..). .(..). .(..). o(.o).3o(.x).&#x & ♦ 1 3 | 0 3 3 0 | 0 3 0 1 0 | * 40 * * * * * ♦ 0 3 0 0 3 0 0 0 | 0 3 0 0 3 6 0 0 0 0 | 0 1 0 0 1 3 3
o(xo). .(..). .(..). .(..). .(..).&#x & ♦ 1 3 | 2 1 1 2 | 1 0 2 0 1 | * * 120 * * * * ♦ 0 0 3 3 0 0 0 0 | 0 0 3 6 3 0 0 0 0 0 | 0 0 1 3 3 1 0
.(..). .(..). .(..). .(..). o(ox).&#x & ♦ 1 3 | 1 2 1 2 | 0 1 2 0 1 | * * * 120 * * * ♦ 0 0 0 3 3 0 0 0 | 0 0 0 3 6 3 0 0 0 0 | 0 0 0 1 3 3 1
.(x.).3.(o.).3.(o.). .(..). .(..). & ♦ 0 4 | 0 0 6 0 | 0 0 0 4 0 | * * * * 30 * * ♦ 1 1 0 0 0 2 2 0 | 2 2 2 0 0 2 1 2 1 0 | 1 1 2 1 0 1 2
.(xo).3.(oo). .(..). .(..). .(..).&#x & ♦ 0 4 | 0 0 3 3 | 0 0 0 1 3 | * * * * * 120 * ♦ 0 0 1 0 1 0 2 2 | 0 0 2 2 2 2 0 1 2 1 | 0 0 1 2 2 2 1
.(xo). .(..). .(..). .(..). .(ox).&#x ♦ 0 4 | 0 0 2 4 | 0 0 0 0 4 | * * * * * * 90 ♦ 0 0 0 2 0 0 0 4 | 0 0 0 4 4 0 0 0 2 2 | 0 0 0 2 4 2 0
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(x.).3o(o.).3o(o.). .(..). .(..).&#x & ♦ 1 4 | 4 0 6 0 | 6 0 0 4 0 | 4 0 0 0 1 0 0 | 30 * * * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0
.(..). .(..). o(.o).3o(.o).3o(.x).&#x & ♦ 1 4 | 0 4 6 0 | 0 6 0 4 0 | 0 4 0 0 1 0 0 | * 30 * * * * * * | 0 2 0 0 0 2 0 0 0 0 | 0 1 0 0 0 1 2
o(xo).3o(oo). .(..). .(..). .(..).&#x & ♦ 1 4 | 3 1 3 3 | 3 0 3 1 3 | 1 0 3 0 0 1 0 | * * 120 * * * * * | 0 0 2 2 0 0 0 0 0 0 | 0 0 1 2 1 0 0
o(xo). .(..). .(..). .(..). o(ox).&#x & ♦ 1 4 | 2 2 2 4 | 1 1 4 0 4 | 0 0 2 2 0 0 1 | * * * 180 * * * * | 0 0 0 2 2 0 0 0 0 0 | 0 0 0 1 2 1 0
.(..). .(..). .(..). o(oo).3o(ox).&#x & ♦ 1 4 | 1 3 3 3 | 0 3 3 1 3 | 0 1 0 3 0 1 0 | * * * * 120 * * * | 0 0 0 0 2 2 0 0 0 0 | 0 0 0 0 1 2 1
.(x.).3.(o.).3.(o.).3.(o.). .(..). & ♦ 0 5 | 0 0 10 0 | 0 0 0 10 0 | 0 0 0 0 5 0 0 | * * * * * 12 * * | 1 1 0 0 0 0 1 1 0 0 | 1 1 1 0 0 0 1
.(xo).3.(oo).3.(oo). .(..). .(..).&#x & ♦ 0 5 | 0 0 6 4 | 0 0 0 4 6 | 0 0 0 0 1 4 0 | * * * * * * 60 * | 0 0 1 0 0 1 0 1 1 0 | 0 0 1 1 0 1 1
.(xo).3.(oo). .(..). .(..). .(ox).&#x & ♦ 0 5 | 0 0 4 6 | 0 0 0 1 9 | 0 0 0 0 0 2 3 | * * * * * * * 120 | 0 0 0 1 1 0 0 0 1 1 | 0 0 0 1 2 1 0
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(x.).3o(o.).3o(o.).3o(o.). .(..).&#x & ♦ 1 5 | 5 0 10 0 | 10 0 0 10 0 | 10 0 0 0 5 0 0 | 5 0 0 0 0 1 0 0 | 12 * * * * * * * * * | 1 0 1 0 0 0 0
.(..). o(.o).3o(.o).3o(.o).3o(.x).&#x & ♦ 1 5 | 0 5 10 0 | 0 10 0 10 0 | 0 10 0 0 5 0 0 | 0 5 0 0 0 1 0 0 | * 12 * * * * * * * * | 0 1 0 0 0 0 1
o(xo).3o(oo).3o(oo). .(..). .(..).&#x & ♦ 1 5 | 4 1 6 4 | 6 0 4 4 6 | 4 0 6 0 1 4 0 | 1 0 4 0 0 0 1 0 | * * 60 * * * * * * * | 0 0 1 1 0 0 0
o(xo).3o(oo). .(..). .(..). o(ox).&#x & ♦ 1 5 | 3 2 4 6 | 3 1 6 1 9 | 1 0 6 3 0 2 3 | 0 0 2 3 0 0 0 1 | * * * 120 * * * * * * | 0 0 0 1 1 0 0
o(xo). .(..). .(..). o(oo).3o(ox).&#x & ♦ 1 5 | 2 3 4 6 | 1 3 6 1 9 | 0 1 3 6 0 2 3 | 0 0 0 3 2 0 0 1 | * * * * 120 * * * * * | 0 0 0 0 1 1 0
.(..). .(..). o(oo).3o(oo).3o(ox).&#x & ♦ 1 5 | 1 4 6 4 | 0 6 4 4 6 | 0 4 0 6 1 4 0 | 0 1 0 0 4 0 1 0 | * * * * * 60 * * * * | 0 0 0 0 0 1 1
.(x.).3.(o.).3.(o.).3.(o.).3.(o.). & ♦ 0 6 | 0 0 15 0 | 0 0 0 20 0 | 0 0 0 0 15 0 0 | 0 0 0 0 0 6 0 0 | * * * * * * 2 * * * | 1 1 0 0 0 0 0
.(xo).3.(oo).3.(oo).3.(oo). .(..).&#x & ♦ 0 6 | 0 0 10 5 | 0 0 0 10 10 | 0 0 0 0 5 10 0 | 0 0 0 0 0 1 5 0 | * * * * * * * 12 * * | 0 0 1 0 0 0 1
.(xo).3.(oo).3.(oo). .(..). .(ox).&#x & ♦ 0 6 | 0 0 7 8 | 0 0 0 4 16 | 0 0 0 0 1 8 6 | 0 0 0 0 0 0 2 4 | * * * * * * * * 30 * | 0 0 0 1 0 1 0
.(xo).3.(oo). .(..). .(oo).3.(ox).&#x ♦ 0 6 | 0 0 6 9 | 0 0 0 2 18 | 0 0 0 0 0 6 9 | 0 0 0 0 0 0 0 6 | * * * * * * * * * 20 | 0 0 0 0 2 0 0
-----------------------------------------+------+-------------+-----------------+-------------------------+-----------------------------+--------------------------------+-------------------
o(x.).3o(o.).3o(o.).3o(o.).3o(o.).&#x & ♦ 1 6 | 6 0 15 0 | 15 0 0 20 0 | 20 0 0 0 15 0 0 | 15 0 0 0 0 6 0 0 | 6 0 0 0 0 0 1 0 0 0 | 2 * * * * * *
o(.o).3o(.o).3o(.o).3o(.o).3o(.x).&#x & ♦ 1 6 | 0 6 15 0 | 0 15 0 20 0 | 0 20 0 0 15 0 0 | 0 15 0 0 0 6 0 0 | 0 6 0 0 0 0 1 0 0 0 | * 2 * * * * *
o(xo).3o(oo).3o(oo).3o(oo). .(..).&#x & ♦ 1 6 | 5 1 10 5 | 10 0 5 10 10 | 10 0 10 0 5 10 0 | 5 0 10 0 0 1 5 0 | 1 0 5 0 0 0 0 1 0 0 | * * 12 * * * *
o(xo).3o(oo).3o(oo). .(..). o(ox).&#x & ♦ 1 6 | 4 2 7 8 | 6 1 8 4 16 | 4 0 12 4 1 8 6 | 1 0 8 6 0 0 2 4 | 0 0 2 4 0 0 0 0 1 0 | * * * 30 * * *
o(xo).3o(oo). .(..). o(oo).3o(ox).&#x & ♦ 1 6 | 3 3 6 9 | 3 3 9 2 18 | 1 1 9 9 0 6 9 | 0 0 3 9 3 0 0 6 | 0 0 0 3 3 0 0 0 0 1 | * * * * 40 * *
o(xo). .(..). o(oo).3o(oo).3o(ox).&#x & ♦ 1 6 | 2 4 7 8 | 1 6 8 4 16 | 0 4 4 12 1 8 6 | 0 1 0 6 8 0 2 4 | 0 0 0 0 4 2 0 0 1 0 | * * * * * 30 *
.(..). o(oo).3o(oo).3o(oo).3o(ox).&#x & ♦ 1 6 | 1 5 10 5 | 0 10 5 10 10 | 0 10 0 10 5 10 0 | 0 5 0 0 10 1 5 0 | 0 1 0 0 0 5 0 1 0 0 | * * * * * * 12
oqo xoo3ooo3ooo3ooo3oox&#xt → both heights = 1/sqrt(12) = 0.288675
(hix || perp pseudo q-line || dual hix)
...
o(xooo)o3o(oxoo)o o(ooxo)o3o(ooox)o&#xt
((tegum product of q-line and 2 octs, where each (perp) factor in turn is represented as a lace prism)
o(....).3o(....). o(....).3o(....). & | 2 * ♦ 12 0 0 0 | 12 12 36 0 0 0 0 | 4 12 72 72 0 0 0 0 0 | 72 36 24 36 72 0 0 0 0 | 72 72 24 24 0 0 0 | 36 4 24
.(o...).3.(o...). .(o...).3.(o...). & | * 12 ♦ 2 2 2 6 | 4 4 12 1 3 18 18 | 2 6 36 36 24 12 8 12 24 | 48 24 16 24 48 30 30 10 10 | 60 60 20 20 18 2 12 | 36 4 24
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(o...).3o(o...). o(o...).3o(o...).&#x & | 1 1 | 24 * * * ♦ 2 2 6 0 0 0 0 | 1 3 18 18 0 0 0 0 0 | 24 12 8 12 24 0 0 0 0 | 30 30 10 10 0 0 0 | 18 2 12
.(x...). .(....). .(....). .(....). & | 0 2 | * 12 * * ♦ 2 0 0 1 1 0 6 | 2 2 0 12 6 0 6 6 6 | 12 0 12 12 12 12 6 8 6 | 24 12 16 12 6 2 8 | 12 4 16
.(oo..).3.(oo..). .(oo..).3.(oo..).&#x & | 0 2 | * * 12 * ♦ 0 2 0 0 2 6 0 | 0 4 12 0 12 6 0 0 6 | 24 12 0 0 12 12 18 0 2 | 24 36 0 4 12 0 4 | 24 0 8
.(o.o.).3.(o.o.). .(o.o.).3.(o.o.).&#x & | 0 2 | * * * 36 ♦ 0 0 2 0 0 4 4 | 0 0 8 8 6 4 2 4 8 | 12 8 4 8 16 12 12 4 4 | 24 24 8 8 9 1 6 | 18 2 12
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(x...). .(....). .(....). .(....).&#x & | 1 2 | 2 1 0 0 | 24 * * * * * * ♦ 1 1 0 6 0 0 0 0 0 | 6 0 6 6 6 0 0 0 0 | 12 6 8 6 0 0 0 | 6 2 8
o(oo..).3o(oo..). o(oo..).3o(oo..).&#x & | 1 2 | 2 0 1 0 | * 24 * * * * * ♦ 0 2 6 0 0 0 0 0 0 | 12 6 0 0 6 0 0 0 0 | 12 18 0 2 0 0 0 | 12 0 4
o(o.o.).3o(o.o.). o(o.o.).3o(o.o.).&#x & | 1 2 | 2 0 0 1 | * * 72 * * * * ♦ 0 0 4 4 0 0 0 0 0 | 6 4 2 4 8 0 0 0 0 | 12 12 4 4 0 0 0 | 9 1 6
.(x...).3.(o...). .(....). .(....). & | 0 3 | 0 3 0 0 | * * * 4 * * * ♦ 2 0 0 0 0 0 6 0 0 | 0 0 12 0 0 0 0 6 6 | 0 0 12 12 0 2 6 | 0 4 12
.(xo..). .(....). .(....). .(....).&#x & | 0 3 | 0 1 2 0 | * * * * 12 * * ♦ 0 2 0 0 6 0 0 0 0 | 12 0 0 0 0 6 6 0 0 | 12 12 0 0 6 0 2 | 12 0 4
.(ooo.).3.(ooo.). .(ooo.).3.(ooo.).&#x & | 0 3 | 0 0 1 2 | * * * * * 72 * ♦ 0 0 2 0 2 2 0 0 2 | 4 4 0 0 4 4 7 0 1 | 8 14 0 2 6 0 2 | 12 0 4
.(x.o.). .(....). .(....). .(....).&#x & | 0 3 | 0 1 0 2 | * * * * * * 72 ♦ 0 0 0 2 1 0 1 2 2 | 2 0 2 4 4 5 2 3 2 | 10 4 6 4 3 1 4 | 6 2 8
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(x...).3o(o...). .(....). .(....).&#x & ♦ 1 3 | 3 3 0 0 | 3 0 0 1 0 0 0 | 8 * * * * * * * * ♦ 0 0 6 0 0 0 0 0 0 | 0 0 6 6 0 0 0 | 0 2 6
o(xo..). .(....). .(....). .(....).&#x & ♦ 1 3 | 3 1 2 0 | 1 2 0 0 1 0 0 | * 24 * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 | 6 0 2
o(ooo.).3o(ooo.). o(ooo.).3o(ooo.).&#x & ♦ 1 3 | 3 0 1 2 | 0 1 2 0 0 1 0 | * * 144 * * * * * * ♦ 2 2 0 0 2 0 0 0 0 | 4 7 0 1 0 0 0 | 6 0 2
o(x.o.). .(....). .(....). .(....).&#x & ♦ 1 3 | 3 1 0 2 | 1 0 2 0 0 0 1 | * * * 144 * * * * * ♦ 1 0 1 2 2 0 0 0 0 | 5 2 3 2 0 0 0 | 3 1 4
.(xoo.). .(....). .(....). .(....).&#x & ♦ 0 4 | 0 1 2 3 | 0 0 0 0 1 2 1 | * * * * 72 * * * * ♦ 2 0 0 0 0 2 2 0 0 | 4 4 0 0 3 0 1 | 6 0 2
.(oooo).3.(oooo). .(oooo).3.(oooo).&#x & ♦ 0 4 | 0 0 2 4 | 0 0 0 0 0 4 0 | * * * * * 36 * * * ♦ 0 2 0 0 0 0 4 0 0 | 0 8 0 0 4 0 0 | 8 0 0
.(x.o.).3.(o.o.). .(....). .(....).&#x & ♦ 0 4 | 0 3 0 3 | 0 0 0 1 0 0 3 | * * * * * * 24 * * ♦ 0 0 2 0 0 0 0 2 2 | 0 0 4 4 0 1 3 | 0 2 6
.(x.o.). .(....). .(o.x.). .(....).&#x & ♦ 0 4 | 0 2 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 36 * ♦ 0 0 0 2 0 2 0 2 0 | 4 0 4 0 1 1 2 | 2 2 4
.(x.oo). .(....). .(....). .(....).&#x & ♦ 0 4 | 0 1 1 4 | 0 0 0 0 0 2 2 | * * * * * * * * 72 ♦ 0 0 0 0 2 2 1 0 1 | 4 2 0 2 2 0 2 | 4 0 4
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(xoo.). .(....). .(....). .(....).&#x & ♦ 1 4 | 4 1 2 3 | 1 2 3 0 1 2 1 | 0 1 2 1 1 0 0 0 0 | 144 * * * * * * * * | 2 2 0 0 0 0 0 | 3 0 1
o(oooo).3o(oooo). o(oooo).3o(oooo).&#x & ♦ 1 4 | 4 0 2 4 | 0 2 4 0 0 4 0 | 0 0 4 0 0 1 0 0 0 | * 72 * * * * * * * | 0 4 0 0 0 0 0 | 4 0 0
o(x.o.).3o(o.o.). .(....). .(....).&#x & ♦ 1 4 | 4 3 0 3 | 3 0 3 1 0 0 3 | 1 0 0 3 0 0 1 0 0 | * * 48 * * * * * * | 0 0 2 2 0 0 0 | 0 1 3
o(x.o.). .(....). o(o.x.). .(....).&#x & ♦ 1 4 | 4 2 0 4 | 2 0 4 0 0 0 4 | 0 0 0 4 0 0 0 1 0 | * * * 72 * * * * * | 2 0 2 0 0 0 0 | 1 1 2
o(x.oo). .(....). .(....). .(....).&#x & ♦ 1 4 | 4 1 1 4 | 1 1 4 0 0 2 2 | 0 0 2 2 0 0 0 0 1 | * * * * 144 * * * * | 2 1 0 1 0 0 0 | 2 0 2
.(xoo.). .(....). .(oox.). .(....).&#x & ♦ 0 5 | 0 2 2 6 | 0 0 0 0 1 4 5 | 0 0 0 0 2 0 0 1 2 | * * * * * 72 * * * | 2 0 0 0 1 0 1 | 2 0 2
.(xooo). .(....). .(....). .(....).&#x & ♦ 0 5 | 0 1 3 6 | 0 0 0 0 1 7 2 | 0 0 0 0 2 2 0 0 1 | * * * * * * 72 * * | 0 2 0 0 2 0 0 | 4 0 0
.(x.o.).3.(o.o.). .(o.x.). .(....).&#x & ♦ 0 5 | 0 4 0 6 | 0 0 0 1 0 0 9 | 0 0 0 0 0 0 2 3 0 | * * * * * * * 24 * | 0 0 2 0 0 1 1 | 0 2 2
.(x.oo).3.(o.oo). .(....). .(....).&#x & ♦ 0 5 | 0 3 1 6 | 0 0 0 1 0 3 6 | 0 0 0 0 0 0 2 0 3 | * * * * * * * * 24 | 0 0 0 2 0 0 2 | 0 0 4
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(xoo.). .(....). o(oox.). .(....).&#x & ♦ 1 5 | 5 2 2 6 | 2 2 6 0 1 4 5 | 0 1 4 5 2 0 0 1 2 | 2 0 0 1 2 1 0 0 0 | 144 * * * * * * | 1 0 1
o(xooo). .(....). .(....). .(....).&#x & ♦ 1 5 | 5 1 3 6 | 1 3 6 0 1 7 2 | 0 1 7 2 2 2 0 0 1 | 2 2 0 0 1 0 1 0 0 | * 144 * * * * * | 2 0 0
o(x.o.).3o(o.o.). o(o.x.). .(....).&#x & ♦ 1 5 | 5 4 0 6 | 4 0 6 1 0 0 9 | 1 0 0 9 0 0 2 3 0 | 0 0 2 3 0 0 0 1 0 | * * 48 * * * * | 0 1 1
o(x.oo).3o(o.oo). .(....). .(....).&#x & ♦ 1 5 | 5 3 1 6 | 3 1 6 1 0 3 6 | 1 0 3 6 0 0 2 0 3 | 0 0 2 0 3 0 0 0 1 | * * * 48 * * * | 0 0 2
.(xooo). .(....). .(ooxo). .(....).&#x & ♦ 0 6 | 0 2 4 9 | 0 0 0 0 2 12 6 | 0 0 0 0 6 4 0 1 4 | 0 0 0 0 0 2 4 0 0 | * * * * 36 * * | 2 0 0
.(x.o.).3.(o.o.). .(o.x.).3.(o.o.).&#x & ♦ 0 6 | 0 6 0 9 | 0 0 0 2 0 0 18 | 0 0 0 0 0 0 6 9 0 | 0 0 0 0 0 0 0 6 0 | * * * * * 4 * | 0 2 0
.(x.oo).3.(o.oo). .(o.xo). .(....).&#x & ♦ 0 6 | 0 4 2 9 | 0 0 0 1 1 6 12 | 0 0 0 0 3 0 3 3 6 | 0 0 0 0 0 3 0 1 2 | * * * * * * 24 | 0 0 2
------------------------------------------+------+-------------+---------------------+-----------------------------+------------------------------+-----------------------+--------
o(xooo). .(....). o(ooxo). .(....).&#x & ♦ 1 6 | 6 2 4 9 | 2 4 9 0 2 12 6 | 0 2 12 6 6 4 0 1 4 | 6 4 0 1 4 2 4 0 0 | 2 4 0 0 1 0 0 | 72 * *
o(x.o.).3o(o.o.). o(o.x.).3o(o.o.).&#x & ♦ 1 6 | 6 6 0 9 | 6 0 9 2 0 0 18 | 2 0 0 18 0 0 6 9 0 | 0 0 6 9 0 0 0 6 0 | 0 0 6 0 0 1 0 | * 8 *
o(x.oo).3o(o.oo). o(o.xo). .(....).&#x & ♦ 1 6 | 6 4 2 9 | 4 2 9 1 1 6 12 | 1 1 6 12 3 0 3 3 6 | 3 0 3 3 6 3 0 1 2 | 3 0 1 2 0 0 1 | * * 48
xooo3ooxo oxoo3oooo3ooox&#xr → all cyclical heights = sqrt(7/24) = 0.540062
in fact this lace simplex degenerates into a rhomb with diagonals:
height(1,3) = sqrt(2/3) = 0.816497
height(2,4) = 1/sqrt(2) = 0.707107
o...3o... o...3o...3o... | 3 * * * ♦ 2 4 2 4 0 0 0 0 0 0 | 1 8 6 2 1 8 6 8 12 8 0 0 0 0 0 0 0 0 0 0 | 4 12 4 4 12 4 8 4 12 24 12 12 8 4 12 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 8 1 6 8 1 12 6 8 12 24 24 4 6 4 12 6 8 24 12 24 24 0 0 0 0 0 0 0 0 0 0 0 0 | 4 2 4 2 8 4 2 12 12 8 12 8 8 4 2 24 24 12 12 8 12 8 0 0 0 0 0 0 0 0 0 | 1 1 2 1 4 6 4 2 1 8 12 8 4 6 4 0 0 0 0 0
.o..3.o.. .o..3.o..3.o.. | * 4 * * ♦ 0 3 0 0 3 3 3 0 0 0 | 0 3 9 0 0 0 0 6 9 0 3 3 9 6 3 9 0 0 0 0 | 1 9 9 0 0 0 3 3 18 9 18 9 0 0 0 18 1 1 9 9 3 3 1 9 18 9 0 0 0 0 | 3 9 3 0 0 0 9 9 18 3 18 9 9 9 3 0 0 0 9 9 36 18 3 9 3 3 18 9 9 9 3 0 0 0 | 3 3 0 0 9 9 6 6 3 9 9 3 0 0 0 18 9 18 9 18 18 6 3 3 6 3 9 9 3 0 0 | 1 0 3 3 3 3 1 0 0 9 9 3 9 9 3 1 3 3 1 0
..o.3..o. ..o.3..o.3..o. | * * 3 * ♦ 0 0 2 0 0 4 0 2 4 0 | 0 0 0 1 2 0 0 8 0 8 0 8 6 0 0 12 1 8 6 0 | 0 0 0 0 0 0 4 8 12 0 0 0 4 8 12 24 0 4 12 4 0 0 0 24 12 12 4 12 4 0 | 0 0 0 0 0 0 6 12 8 0 0 0 0 0 0 6 12 8 12 24 24 24 6 8 1 12 24 24 4 6 4 6 8 1 | 0 0 0 0 4 8 2 0 0 0 0 0 4 8 2 12 12 24 24 8 12 8 4 2 12 12 8 12 8 4 2 | 0 0 1 2 0 0 0 1 2 4 6 4 8 12 8 1 4 6 4 1
...o3...o ...o3...o3...o | * * * 4 ♦ 0 0 0 3 0 0 3 0 3 3 | 0 0 0 0 0 3 9 0 9 6 0 0 0 3 6 9 0 3 9 3 | 0 0 0 1 9 9 0 0 0 9 9 18 3 3 18 18 0 0 0 0 1 3 3 9 9 18 1 9 9 1 | 0 0 0 3 9 3 0 0 0 3 9 18 3 9 9 9 9 18 9 9 18 36 0 0 0 3 9 18 3 9 9 3 9 3 | 0 0 3 3 0 0 0 3 6 3 9 9 9 9 6 9 18 9 18 6 18 18 0 0 3 6 3 9 9 3 3 | 0 1 0 0 1 3 3 3 3 3 9 9 3 9 9 0 1 3 3 1
----------------------------+---------+--------------------------+-------------------------------------------------------+----------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------+----------------------------------------------
x... .... .... .... .... | 2 0 0 0 | 3 * * * * * * * * * ♦ 1 4 0 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 0 4 6 0 4 0 0 12 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 4 0 6 4 0 6 0 0 12 12 12 0 0 0 6 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 1 4 1 4 0 0 12 12 4 6 4 4 0 0 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 4 6 4 1 0 4 6 4 0 0 0 0 0 0 0 0
oo..3oo.. oo..3oo..3oo..&#x | 1 1 0 0 | * 12 * * * * * * * * ♦ 0 2 3 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 | 1 6 3 0 0 0 2 1 6 6 6 3 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 6 1 0 0 0 6 3 6 3 12 6 3 3 1 0 0 0 6 3 12 6 0 0 0 0 0 0 0 0 0 0 0 0 | 3 2 0 0 6 3 2 6 3 6 6 2 0 0 0 12 6 6 3 6 6 2 0 0 0 0 0 0 0 0 0 | 1 0 2 1 3 3 1 0 0 6 6 2 3 3 1 0 0 0 0 0
o.o.3o.o. o.o.3o.o.3o.o.&#x | 1 0 1 0 | * * 6 * * * * * * * ♦ 0 0 0 1 1 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 4 4 6 0 0 0 4 4 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 6 6 4 0 0 0 0 0 0 6 6 4 12 12 12 12 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 4 4 1 0 0 0 0 0 4 4 1 12 12 12 12 4 6 4 0 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 0 1 1 4 6 4 4 6 4 0 0 0 0 0
o..o3o..o o..o3o..o3o..o&#x | 1 0 0 1 | * * * 12 * * * * * * ♦ 0 0 0 0 0 2 3 0 2 3 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 6 3 0 0 0 6 3 6 2 1 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 3 6 1 0 0 0 3 6 12 1 3 3 6 3 6 6 3 6 12 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 2 0 0 0 3 6 3 6 6 6 3 2 6 12 3 6 2 6 6 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 3 3 2 1 2 6 6 1 3 3 0 0 0 0 0
.... .... .x.. .... .... | 0 2 0 0 | * * * * 6 * * * * * ♦ 0 0 3 0 0 0 0 0 0 0 2 0 3 2 0 0 0 0 0 0 | 0 3 6 0 0 0 0 0 6 0 6 0 0 0 0 0 1 0 3 6 3 1 0 0 6 0 0 0 0 0 | 1 6 3 0 0 0 3 3 12 0 6 0 6 3 0 0 0 0 0 0 12 0 1 6 3 0 6 0 6 3 0 0 0 0 | 2 3 0 0 6 6 6 2 0 6 3 0 0 0 0 6 0 6 0 12 6 0 2 3 2 0 6 3 0 0 0 | 1 0 3 3 2 1 0 0 0 6 3 0 6 3 0 1 2 1 0 0
.oo.3.oo. .oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * * 12 * * * * ♦ 0 0 0 0 0 0 0 2 0 0 0 2 3 0 0 3 0 0 0 0 | 0 0 0 0 0 0 1 2 6 0 6 0 0 0 0 6 0 1 6 3 0 0 0 6 6 3 0 0 0 0 | 0 0 0 0 0 0 3 6 6 0 0 0 0 0 0 0 0 0 3 6 12 6 3 6 1 3 12 6 3 3 1 0 0 0 | 0 0 0 0 3 6 2 0 0 0 0 0 0 0 0 6 3 12 6 6 6 2 3 2 6 3 6 6 2 0 0 | 0 0 1 2 0 0 0 0 0 3 3 1 6 6 2 1 3 3 1 0
.o.o3.o.o .o.o3.o.o3.o.o&#x | 0 1 0 1 | * * * * * * 12 * * * ♦ 0 0 0 0 0 0 0 0 3 0 0 0 0 2 2 3 0 0 0 0 | 0 0 0 0 0 0 0 0 0 3 0 6 0 0 0 6 0 0 0 0 1 2 1 3 6 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 6 6 3 6 3 0 0 0 3 3 12 12 0 0 0 1 6 6 3 6 3 0 0 0 | 0 0 0 0 0 0 0 2 2 3 6 3 0 0 0 6 6 6 6 6 12 6 0 0 2 2 3 6 3 0 0 | 0 0 0 0 1 2 1 0 0 3 6 3 3 6 3 0 1 2 1 0
.... ..x. .... .... .... | 0 0 2 0 | * * * * * * * 3 * * ♦ 0 0 0 0 1 0 0 0 0 0 0 4 0 0 0 0 1 4 0 0 | 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 6 0 0 0 0 12 0 0 4 6 0 0 | 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 6 0 0 12 0 0 6 4 0 12 12 12 0 0 0 6 4 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 12 12 0 0 0 4 1 12 12 4 6 4 4 1 | 0 0 0 1 0 0 0 0 1 0 0 0 4 6 4 1 4 6 4 1
..oo3..oo ..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * * * 12 * ♦ 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 3 0 2 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 6 0 0 0 0 0 0 0 6 3 6 1 6 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 12 0 0 0 3 6 12 1 3 3 3 6 1 | 0 0 0 0 0 0 0 0 0 0 0 0 3 6 2 3 6 6 12 2 6 6 0 0 3 6 2 6 6 3 2 | 0 0 0 0 0 0 0 1 2 1 3 3 2 6 6 0 1 3 3 1
.... .... .... .... ...x | 0 0 0 2 | * * * * * * * * * 6 ♦ 0 0 0 0 0 0 3 0 0 0 0 0 0 0 2 0 0 0 3 2 | 0 0 0 0 3 6 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 1 2 0 0 6 0 3 6 1 | 0 0 0 1 6 3 0 0 0 0 0 6 0 3 6 3 3 12 0 0 0 12 0 0 0 0 0 6 0 3 6 1 6 3 | 0 0 2 3 0 0 0 0 2 0 3 6 6 6 6 0 6 0 6 0 6 12 0 0 0 2 0 3 6 2 3 | 0 1 0 0 0 1 2 3 3 0 3 6 0 3 6 0 0 1 2 1
----------------------------+---------+--------------------------+-------------------------------------------------------+----------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------+----------------------------------------------
x...3o... .... .... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * ♦ 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 0 0 6 0 0 0 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 0 4 0 0 0 0 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0
xo.. .... .... .... ....&#x | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * * * * * ♦ 1 3 0 0 0 0 1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 3 0 0 3 6 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 1 0 0 3 0 0 6 3 3 3 1 0 0 0 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 3 3 1 0 0 3 3 1 0 0 0 0 0 0 0 0
.... .... ox.. .... ....&#x | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 | * * 18 * * * * * * * * * * * * * * * * * ♦ 0 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 2 1 4 0 4 0 2 1 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 4 2 2 2 0 4 2 0 0 0 0 4 0 2 0 4 2 0 0 0 0 0 0 0 0 0 0 | 1 0 2 1 2 1 0 0 0 4 2 0 2 1 0 0 0 0 0 0
x.o. .... .... .... ....&#x | 2 0 1 0 | 1 0 2 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * * * * * * * ♦ 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 6 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 1 0 4 6 4 0 0 0 0 0 0 0 0
.... o.x. .... .... ....&#x | 1 0 2 0 | 0 0 2 0 0 0 0 1 0 0 | * * * * 3 * * * * * * * * * * * * * * * ♦ 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 6 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 12 12 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 0 0 1 0 0 0 4 6 4 0 0 0 0 0
x..o .... .... .... ....&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * * * * * ♦ 0 0 0 1 3 0 0 0 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 3 3 0 0 0 0 3 3 6 0 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 1 0 0 0 3 6 2 3 3 3 0 0 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 3 3 1 0 1 3 3 0 0 0 0 0 0 0 0
.... .... .... .... o..x&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 1 | * * * * * * 18 * * * * * * * * * * * * * ♦ 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 2 4 0 0 0 0 0 4 0 1 2 2 1 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 0 0 0 0 2 0 2 4 4 2 2 0 4 0 2 0 2 2 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 2 2 1 0 2 4 0 1 2 0 0 0 0 0
ooo.3ooo. ooo.3ooo.3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 | * * * * * * * 24 * * * * * * * * * * * * ♦ 0 0 0 0 0 0 1 1 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 3 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 3 1 0 0 0 0 0 0 0 0 6 3 6 3 3 3 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 0 0 0 3 3 1 3 3 1 0 0 0 0 0
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xooo .... .... .... ooox&#x ♦ 2 1 1 2 | 1 2 2 4 0 1 2 0 2 1 | 0 1 0 1 0 2 2 2 4 4 0 0 0 0 1 2 0 0 1 0 | 0 0 0 0 1 0 1 0 0 2 0 2 2 0 2 4 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0
.... ooxo oxoo .... ....&#x ♦ 1 2 2 1 | 0 2 2 1 1 4 2 1 2 0 | 0 0 1 0 1 0 0 4 2 2 0 2 2 1 0 4 0 1 0 0 | 0 0 0 0 0 0 0 2 2 0 1 0 0 1 0 4 0 0 1 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
.... ooxo .... .... ooox&#x ♦ 1 1 2 2 | 0 1 2 2 0 2 2 1 4 1 | 0 0 0 0 1 0 1 2 2 4 0 1 0 0 1 4 0 2 2 0 | 0 0 0 0 0 0 0 1 0 0 0 1 0 2 2 4 0 0 0 0 0 0 0 2 0 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
.... .... oxoo3oooo ....&#x ♦ 1 3 1 1 | 0 3 1 1 3 3 3 0 1 0 | 0 0 3 0 0 0 0 3 3 1 1 0 3 3 0 3 0 0 0 0 | 0 0 1 0 0 0 0 0 3 0 3 0 0 0 0 3 0 0 0 1 1 0 0 0 3 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 24 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0
.... .... oxoo .... ooox&#x ♦ 1 2 1 2 | 0 2 1 2 1 2 4 0 2 1 | 0 0 1 0 0 0 1 2 4 2 0 0 1 2 2 4 0 0 1 0 | 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 4 0 0 0 0 0 1 0 0 2 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0
.... .... .... oooo3ooox&#x ♦ 1 1 1 3 | 0 1 1 3 0 1 3 0 3 3 | 0 0 0 0 0 0 3 1 3 3 0 0 0 0 3 3 0 0 3 1 | 0 0 0 0 0 1 0 0 0 0 0 3 0 0 3 3 0 0 0 0 0 0 1 0 0 3 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 3 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 24 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0
.oo.3.ox. .xo.3.oo. ....&#x ♦ 0 3 3 0 | 0 0 0 0 3 9 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 1 9 9 0 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 3 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0
.... .ox. .xo.3.oo.3.oo.&#x ♦ 0 4 2 0 | 0 0 0 0 6 8 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 4 4 12 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 6 8 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 3 * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
.ooo3.oxo .xoo .... ....&#x ♦ 0 2 3 1 | 0 0 0 0 1 6 2 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 6 3 1 0 6 1 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 6 3 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 3 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0
.ooo3.oxo .... .... .oox&#x ♦ 0 1 3 2 | 0 0 0 0 0 3 2 3 6 1 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 1 6 1 6 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 6 0 3 2 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 0 1 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
.... .oxo .xoo3.ooo ....&#x ♦ 0 3 2 1 | 0 0 0 0 3 6 3 1 2 0 | 0 0 0 0 0 0 0 0 0 0 1 3 6 3 0 6 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 1 0 0 3 6 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0
.... .oxo .xoo .... .oox&#x ♦ 0 2 2 2 | 0 0 0 0 1 4 4 1 4 1 | 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 8 0 2 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 4 4 4 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 18 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0
.... .oxo .... .ooo3.oox&#x ♦ 0 1 2 3 | 0 0 0 0 0 2 3 1 6 3 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 6 0 3 6 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 6 0 3 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0
..oo3..xo .... ..oo3..ox&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 9 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
.... ..xo ..oo3..oo3..ox&#x ♦ 0 0 2 4 | 0 0 0 0 0 0 0 1 8 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1
----------------------------+---------+--------------------------+-------------------------------------------------------+----------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------+----------------------------------------------
xo..3oo.. ox..3oo..3oo..&#x ♦ 3 4 0 0 | 3 12 0 0 6 0 0 0 0 0 | 1 12 18 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 | 4 18 12 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * *
x..o3o..o o..o3o..o3o..x&#x ♦ 3 0 0 4 | 3 0 0 12 0 0 0 0 0 6 | 1 0 0 0 0 12 18 0 0 0 0 0 0 0 0 0 0 0 0 4 | 0 0 0 4 18 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0 0 0 6 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 1 * * * * * * * * * * * * * * * * * *
xoo. .... oxo.3ooo.3ooo.&#x ♦ 2 4 1 0 | 1 8 2 0 6 4 0 0 0 0 | 0 4 12 1 0 0 0 8 0 0 4 0 6 0 0 0 0 0 0 0 | 0 6 8 0 0 0 4 0 12 0 0 0 0 0 0 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 | 0 4 2 0 0 0 6 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 1 0 0 4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * * * * *
.... oox. oxo.3ooo.3ooo.&#x ♦ 1 4 2 0 | 0 4 2 0 6 8 0 1 0 0 | 0 0 6 0 1 0 0 8 0 0 4 4 12 0 0 0 0 0 0 0 | 0 0 4 0 0 0 0 4 12 0 0 0 0 0 0 0 1 0 6 8 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 6 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * * * * * * *
xo.o3oo.o ox.o3oo.o ....&#x ♦ 3 3 0 1 | 3 9 0 3 3 0 3 0 0 0 | 1 9 9 0 0 3 0 0 9 0 1 0 0 3 0 0 0 0 0 0 | 3 9 3 1 0 0 0 0 0 9 9 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 3 9 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * * * * * * * *
xo.o3oo.o ox.o .... oo.x&#x ♦ 3 2 0 2 | 3 6 0 6 1 0 4 0 0 1 | 1 6 3 0 0 6 3 0 12 0 0 0 0 2 2 0 0 0 0 0 | 2 3 0 2 3 0 0 0 0 12 6 6 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 0 1 0 0 0 0 0 4 6 6 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 2 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * * * * *
xo.o3oo.o .... oo.o3oo.x&#x ♦ 3 1 0 3 | 3 3 0 9 0 0 3 0 0 3 | 1 3 0 0 0 9 9 0 9 0 0 0 0 0 3 0 0 0 0 1 | 1 0 0 3 9 3 0 0 0 9 0 9 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 0 0 0 3 3 0 0 0 0 3 0 9 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 4 * * * * * * * * * * * * *
x.oo .... o.oo3o.oo3o.ox&#x ♦ 2 0 1 4 | 1 0 2 8 0 0 0 0 4 6 | 0 0 0 1 0 4 12 0 0 8 0 0 0 0 0 0 0 0 6 4 | 0 0 0 0 6 8 0 0 0 0 0 0 4 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 | 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 6 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 0 0 0 1 0 0 0 0 0 0 0 0 4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 3 * * * * * * * * * * * *
.... o.xo o.oo3o.oo3o.ox&#x ♦ 1 0 2 4 | 0 0 2 4 0 0 0 1 8 6 | 0 0 0 0 1 0 6 0 0 8 0 0 0 0 0 0 0 4 12 4 | 0 0 0 0 0 4 0 0 0 0 0 0 0 4 12 0 0 0 0 0 0 0 0 0 0 0 0 6 8 1 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 6 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * 3 * * * * * * * * * * *
xooo .... oxoo3oooo ....&#x ♦ 2 3 1 1 | 1 6 2 2 3 3 3 0 1 0 | 0 3 6 1 0 1 0 6 6 2 1 0 3 3 0 3 0 0 0 0 | 0 3 2 0 0 0 3 0 6 3 6 0 1 0 0 6 0 0 0 1 1 0 0 0 3 0 0 0 0 0 | 0 1 0 0 0 0 3 0 2 0 3 0 2 0 0 0 0 0 3 0 6 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 3 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * *
xooo .... oxoo .... ooox&#x ♦ 2 2 1 2 | 1 4 2 4 1 2 4 0 2 1 | 0 2 2 1 0 2 2 4 8 4 0 0 1 2 2 4 0 0 1 0 | 0 1 0 0 1 0 2 0 2 4 4 4 2 0 2 8 0 0 0 0 0 1 0 0 2 2 0 0 0 0 | 0 0 0 0 0 0 1 0 0 0 2 2 0 2 0 1 0 0 4 0 4 4 0 0 0 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 18 * * * * * * * * *
xooo .... .... oooo3ooox&#x ♦ 2 1 1 3 | 1 2 2 6 0 1 3 0 3 3 | 0 1 0 1 0 3 6 2 6 6 0 0 0 0 3 3 0 0 3 1 | 0 0 0 0 3 2 1 0 0 3 0 6 3 0 6 6 0 0 0 0 0 0 1 0 0 3 0 0 1 0 | 0 0 0 0 1 0 0 0 0 0 0 3 0 0 2 3 0 2 3 0 0 6 0 0 0 0 0 0 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 12 * * * * * * * *
.... ooxo oxoo3oooo ....&#x ♦ 1 3 2 1 | 0 3 2 1 3 6 3 1 2 0 | 0 0 3 0 1 0 0 6 3 2 1 3 6 3 0 6 0 1 0 0 | 0 0 1 0 0 0 0 3 6 0 3 0 0 1 0 6 0 0 3 2 1 0 0 3 6 0 0 0 0 0 | 0 0 0 0 0 0 0 3 2 0 0 0 1 0 0 0 0 0 0 3 6 0 0 1 0 0 3 0 2 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * 12 * * * * * * *
.... ooxo oxoo .... ooox&#x ♦ 1 2 2 2 | 0 2 2 2 1 4 4 1 4 1 | 0 0 1 0 1 0 1 4 4 4 0 2 2 2 2 8 0 2 2 0 | 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 8 0 0 1 0 0 1 0 4 4 4 0 1 0 0 | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 4 4 4 0 0 0 0 2 2 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * * 18 * * * * * *
.... ooxo .... oooo3ooox&#x ♦ 1 1 2 3 | 0 1 2 3 0 2 3 1 6 3 | 0 0 0 0 1 0 3 2 3 6 0 1 0 0 3 6 0 3 6 1 | 0 0 0 0 0 1 0 1 0 0 0 3 0 3 6 6 0 0 0 0 0 0 1 3 0 6 0 3 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 2 0 3 0 6 0 0 0 0 0 3 0 0 2 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 3 0 0 2 0 0 0 0 0 0 1 0 0 | * * * * * * * * * * * * * * 12 * * * * *
.oo.3.ox. .xo.3.oo.3.oo.&#x ♦ 0 4 3 0 | 0 0 0 0 6 12 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 4 12 18 0 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 18 12 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 3 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 1 * * * *
.ooo3.oxo .xoo3.ooo ....&#x ♦ 0 3 3 1 | 0 0 0 0 3 9 3 3 3 0 | 0 0 0 0 0 0 0 0 0 0 1 9 9 3 0 9 1 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 3 1 0 0 9 9 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 3 9 0 3 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 3 0 0 0 0 | * * * * * * * * * * * * * * * * 4 * * *
.ooo3.oxo .xoo .... .oox&#x ♦ 0 2 3 2 | 0 0 0 0 1 6 4 3 6 1 | 0 0 0 0 0 0 0 0 0 0 0 6 3 2 2 12 1 6 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 1 0 12 6 6 2 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 4 6 6 0 3 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 3 0 0 0 | * * * * * * * * * * * * * * * * * 6 * *
.ooo3.oxo .... .ooo3.oox&#x ♦ 0 1 3 3 | 0 0 0 0 0 3 3 3 9 3 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 9 1 9 9 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 9 0 9 3 9 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 9 0 0 3 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 1 0 | * * * * * * * * * * * * * * * * * * 4 *
..oo3..xo ..oo3..oo3..ox&#x ♦ 0 0 3 4 | 0 0 0 0 0 0 0 3 12 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 18 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 12 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 | * * * * * * * * * * * * * * * * * * * 1
ooxoo4ooooo oxooo3ooooo3oooxor → height(1,2) = height(1,4) = height(2,5) = height(4,5) = sqrt(5/8) = 0.790569
height(2,3) = height(3,4) = sqrt(1/8) = 0.353553
height(1,3) = height(3,5) = height(2,4) = sqrt(1/2) = 0.707107
here the tailing "r" denotes a lacing centered rhomb, where a lacing between layers 1 and 5 does not exist
o....4o.... o....3o....3o.... & | 2 * * ♦ 8 4 0 0 0 0 | 12 4 32 12 0 0 0 0 0 | 8 32 48 24 48 0 0 0 0 0 0 0 | 2 48 32 8 6 48 96 0 0 0 0 0 | 32 8 96 32 24 0 0 0 | 8 32 24
.o...4.o... .o...3.o...3.o... & | * 8 * ♦ 2 0 3 4 3 0 | 6 0 8 6 3 4 12 12 12 | 6 8 24 18 24 1 12 12 4 3 12 36 | 2 24 24 8 6 24 72 12 4 36 16 12 | 24 8 72 32 24 4 16 12 | 8 32 24
..o..4..o.. ..o..3..o..3..o.. | * * 4 ♦ 0 2 0 8 0 2 | 0 4 16 0 0 16 12 0 12 | 0 32 24 0 24 0 24 8 0 0 24 24 | 0 48 16 0 0 48 48 16 2 48 8 6 | 32 4 96 16 12 4 16 12 | 8 32 24
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
oo...4oo... oo...3oo...3oo...&#x & | 1 1 0 | 16 * * * * * ♦ 3 0 4 3 0 0 0 0 0 | 3 4 12 9 12 0 0 0 0 0 0 0 | 1 12 12 4 3 12 36 0 0 0 0 0 | 12 4 36 16 12 0 0 0 | 4 16 12
o.o..4o.o.. o.o..3o.o..3o.o..&#x & | 1 0 1 | * 8 * * * * ♦ 0 2 8 0 0 0 0 0 0 | 0 16 12 0 12 0 0 0 0 0 0 0 | 0 24 8 0 0 24 24 0 0 0 0 0 | 16 2 48 8 6 0 0 0 | 4 16 12
..... ..... .x... .......... & | 0 2 0 | * * 12 * * * ♦ 2 0 0 0 2 0 4 2 0 | 4 0 8 4 0 1 4 8 2 1 0 8 | 2 8 16 4 2 0 16 8 4 8 8 4 | 16 8 16 16 8 4 8 4 | 8 16 8
.oo..4.oo.. .oo..3.oo..3.oo..&#x & | 0 1 1 | * * * 32 * * ♦ 0 0 2 0 0 2 3 0 3 | 0 4 6 0 6 0 6 3 0 0 6 9 | 0 12 6 0 0 12 18 6 1 18 4 3 | 12 2 36 8 6 2 8 6 | 4 16 12
.o.o.4.o.o. .o.o.3.o.o.3.o.o.&#x | 0 2 0 | * * * * 12 * ♦ 0 0 0 2 0 0 0 4 4 | 0 0 0 8 8 0 0 0 2 2 4 16 | 0 0 0 4 4 8 32 0 0 16 8 8 | 0 0 32 16 16 0 8 8 | 0 16 16
..x.. ..... ..... ..... ..... | 0 0 2 | * * * * * 4 ♦ 0 2 0 0 0 8 0 0 0 | 0 16 0 0 0 0 12 0 0 0 12 0 | 0 24 0 0 0 24 0 8 0 24 0 0 | 16 0 48 0 0 2 8 6 | 4 16 12
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
..... ..... ox... ..... .....&#x & | 1 2 0 | 2 0 1 0 0 0 | 24 * * * * * * * * ♦ 2 0 4 2 0 0 0 0 0 0 0 0 | 1 4 8 2 1 0 8 0 0 0 0 0 | 8 4 8 8 4 0 0 0 | 4 8 4
o.x.. ..... ..... ..... .....&#x & | 1 0 2 | 0 2 0 0 0 1 | * 8 * * * * * * * ♦ 0 8 0 0 0 0 0 0 0 0 0 0 | 0 12 0 0 0 12 0 0 0 0 0 0 | 8 0 24 0 0 0 0 0 | 2 8 6
ooo..4ooo.. ooo..3ooo..3ooo..&#x & | 1 1 1 | 1 1 0 1 0 0 | * * 64 * * * * * * ♦ 0 2 3 0 3 0 0 0 0 0 0 0 | 0 6 3 0 0 6 9 0 0 0 0 0 | 6 1 18 4 3 0 0 0 | 2 8 6
oo.o.4oo.o. oo.o.3oo.o.3oo.o.&#x & | 1 2 0 | 2 0 0 0 1 0 | * * * 24 * * * * * ♦ 0 0 0 4 4 0 0 0 0 0 0 0 | 0 0 0 2 2 4 16 0 0 0 0 0 | 0 0 16 8 8 0 0 0 | 0 8 8
..... ..... .x...3.o... ..... & | 0 3 0 | 0 0 3 0 0 0 | * * * * 8 * * * * ♦ 2 0 0 0 0 1 0 4 1 0 0 0 | 2 0 8 2 0 0 0 4 4 0 4 0 | 8 8 0 8 0 4 4 0 | 8 8 0
.ox.. ..... ..... ..... .....&#x & | 0 1 2 | 0 0 0 2 0 1 | * * * * * 32 * * * ♦ 0 2 0 0 0 0 3 0 0 0 3 0 | 0 6 0 0 0 6 0 3 0 9 0 0 | 6 0 18 0 0 1 4 3 | 2 8 6
..... ..... .xo.. ..... .....&#x & | 0 2 1 | 0 0 1 2 0 0 | * * * * * * 48 * * ♦ 0 0 2 0 0 0 2 2 0 0 0 2 | 0 4 4 0 0 0 4 4 1 4 2 1 | 8 2 8 4 2 2 4 2 | 4 8 4
..... ..... .x.o. ..... .....&#x & | 0 3 0 | 0 0 1 0 2 0 | * * * * * * * 24 * ♦ 0 0 0 2 0 0 0 0 1 1 0 4 | 0 0 0 2 2 0 8 0 0 4 4 4 | 0 0 8 8 8 0 4 4 | 0 8 8
.ooo.4.ooo. .ooo.3.ooo.3.ooo.&#x | 0 2 1 | 0 0 0 2 1 0 | * * * * * * * * 48 ♦ 0 0 0 0 2 0 0 0 0 0 2 4 | 0 0 0 0 0 4 8 0 0 8 2 2 | 0 0 16 4 4 0 4 4 | 0 8 8
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
..... ..... ox...3oo... .....&#x & ♦ 1 3 0 | 3 0 3 0 0 0 | 3 0 0 0 1 0 0 0 0 | 16 * * * * * * * * * * * ♦ 1 0 4 1 0 0 0 0 0 0 0 0 | 4 4 0 4 0 0 0 0 | 4 4 0
oox.. ..... ..... ..... .....&#x & ♦ 1 1 2 | 1 2 0 2 0 1 | 0 1 2 0 0 1 0 0 0 | * 64 * * * * * * * * * * ♦ 0 3 0 0 0 3 0 0 0 0 0 0 | 3 0 9 0 0 0 0 0 | 1 4 3
..... ..... oxo.. ..... .....&#x & ♦ 1 2 1 | 2 1 1 2 0 0 | 1 0 2 0 0 0 1 0 0 | * * 96 * * * * * * * * * ♦ 0 2 2 0 0 0 2 0 0 0 0 0 | 4 1 4 2 1 0 0 0 | 2 4 2
..... ..... ox.o. ..... .....&#x & ♦ 1 3 0 | 3 0 1 0 2 0 | 1 0 0 2 0 0 0 1 0 | * * * 48 * * * * * * * * ♦ 0 0 0 1 1 0 4 0 0 0 0 0 | 0 0 4 4 4 0 0 0 | 0 4 4
oooo.4oooo. oooo.3oooo.3oooo.&#x & ♦ 1 2 1 | 2 1 0 2 1 0 | 0 0 2 1 0 0 0 0 1 | * * * * 96 * * * * * * * ♦ 0 0 0 0 0 2 4 0 0 0 0 0 | 0 0 8 2 2 0 0 0 | 0 4 4
..... ..... .x...3.o...3.o... & ♦ 0 4 0 | 0 0 6 0 0 0 | 0 0 0 0 4 0 0 0 0 | * * * * * 2 * * * * * * ♦ 2 0 0 0 0 0 0 4 0 0 0 0 | 0 8 0 0 0 4 0 0 | 8 0 0
.ox.. ..... .xo.. ..... .....&#x & ♦ 0 2 2 | 0 0 1 4 0 1 | 0 0 0 0 0 2 2 0 0 | * * * * * * 48 * * * * * ♦ 0 2 0 0 0 0 0 2 0 2 0 0 | 4 0 4 0 0 1 2 1 | 2 4 2
..... ..... .xo..3.oo.. .....&#x & ♦ 0 3 1 | 0 0 3 3 0 0 | 0 0 0 0 1 0 3 0 0 | * * * * * * * 32 * * * * ♦ 0 0 2 0 0 0 0 2 1 0 1 0 | 4 2 0 2 0 2 2 0 | 4 4 0
..... ..... .x.o.3.o.o. .....&#x & ♦ 0 4 0 | 0 0 3 0 3 0 | 0 0 0 0 1 0 0 3 0 | * * * * * * * * 8 * * * ♦ 0 0 0 2 0 0 0 0 0 0 4 0 | 0 0 0 8 0 0 4 0 | 0 8 0
..... ..... .x.o. ..... .o.x.&#x ♦ 0 4 0 | 0 0 2 0 4 0 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * 6 * * ♦ 0 0 0 0 2 0 0 0 0 0 0 4 | 0 0 0 0 8 0 0 4 | 0 0 8
.oxo. ..... ..... ..... .....&#x ♦ 0 2 2 | 0 0 0 4 1 1 | 0 0 0 0 0 2 0 0 2 | * * * * * * * * * * 48 * ♦ 0 0 0 0 0 2 0 0 0 4 0 0 | 0 0 8 0 0 0 2 2 | 0 4 4
..... ..... .xoo. ..... .....&#x & ♦ 0 3 1 | 0 0 1 3 2 0 | 0 0 0 0 0 0 1 1 2 | * * * * * * * * * * * 96 ♦ 0 0 0 0 0 0 2 0 0 2 1 1 | 0 0 4 2 2 0 2 2 | 0 4 4
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
..... ..... ox...3oo...3oo...&#x & ♦ 1 4 0 | 4 0 6 0 0 0 | 6 0 0 0 4 0 0 0 0 | 4 0 0 0 0 1 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 0 4 0 0 0 0 0 0 | 4 0 0
oox.. ..... oxo.. ..... .....&#x & ♦ 1 2 2 | 2 2 1 4 0 1 | 1 1 4 0 0 2 2 0 0 | 0 2 2 0 0 0 1 0 0 0 0 0 | * 96 * * * * * * * * * * | 2 0 2 0 0 0 0 0 | 1 2 1
..... ..... oxo..3ooo.. .....&#x & ♦ 1 3 1 | 3 1 3 3 0 0 | 3 0 3 0 1 0 3 0 0 | 1 0 3 0 0 0 0 1 0 0 0 0 | * * 64 * * * * * * * * * | 2 1 0 1 0 0 0 0 | 2 2 0
..... ..... ox.o.3oo.o. .....&#x & ♦ 1 4 0 | 4 0 3 0 3 0 | 3 0 0 3 1 0 0 3 0 | 1 0 0 3 0 0 0 0 1 0 0 0 | * * * 16 * * * * * * * * | 0 0 0 4 0 0 0 0 | 0 4 0
..... ..... ox.o. ..... oo.x.&#x & ♦ 1 4 0 | 4 0 2 0 4 0 | 2 0 0 4 0 0 0 4 0 | 0 0 0 4 0 0 0 0 0 1 0 0 | * * * * 12 * * * * * * * | 0 0 0 0 4 0 0 0 | 0 0 4
ooxo. ..... ..... ..... .....&#x & ♦ 1 2 2 | 2 2 0 4 1 1 | 0 1 4 1 0 2 0 0 2 | 0 2 0 0 2 0 0 0 0 0 1 0 | * * * * * 96 * * * * * * | 0 0 4 0 0 0 0 0 | 0 2 2
..... ..... oxoo. ..... .....&#x & ♦ 1 3 1 | 3 1 1 3 2 0 | 1 0 3 2 0 0 1 1 2 | 0 0 1 1 2 0 0 0 0 0 0 1 | * * * * * * 192 * * * * * | 0 0 2 1 1 0 0 0 | 0 2 2
.ox.. ..... .xo..3.oo.. .....&#x & ♦ 0 3 2 | 0 0 3 6 0 1 | 0 0 0 0 1 3 6 0 0 | 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * * 32 * * * * | 2 0 0 0 0 1 1 0 | 2 2 0
..... ..... .xo..3.oo..3.oo..&#x & ♦ 0 4 1 | 0 0 6 4 0 0 | 0 0 0 0 4 0 6 0 0 | 0 0 0 0 0 1 0 4 0 0 0 0 | * * * * * * * * 8 * * * | 0 2 0 0 0 2 0 0 | 4 0 0
.oxo. ..... .xoo. ..... .....&#x & ♦ 0 3 2 | 0 0 1 6 2 1 | 0 0 0 0 0 3 2 1 4 | 0 0 0 0 0 0 1 0 0 0 2 2 | * * * * * * * * * 96 * * | 0 0 2 0 0 0 1 1 | 0 2 2
..... ..... .xoo.3.ooo. .....&#x & ♦ 0 4 1 | 0 0 3 4 3 0 | 0 0 0 0 1 0 3 3 3 | 0 0 0 0 0 0 0 1 1 0 0 3 | * * * * * * * * * * 32 * | 0 0 0 2 0 0 2 0 | 0 4 0
..... ..... .xoo. ..... .oox.&#x ♦ 0 4 1 | 0 0 2 4 4 0 | 0 0 0 0 0 0 2 4 4 | 0 0 0 0 0 0 0 0 0 1 0 4 | * * * * * * * * * * * 24 | 0 0 0 0 2 0 0 2 | 0 0 4
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
oox.. ..... oxo..3ooo.. .....&#x & ♦ 1 3 2 | 3 2 3 6 0 1 | 3 1 6 0 1 3 6 0 0 | 1 3 6 0 0 0 3 2 0 0 0 0 | 0 3 2 0 0 0 0 1 0 0 0 0 | 64 * * * * * * * | 1 1 0
..... ..... oxo..3ooo..3ooo..&#x & ♦ 1 4 1 | 4 1 6 4 0 0 | 6 0 4 0 4 0 6 0 0 | 4 0 6 0 0 1 0 4 0 0 0 0 | 1 0 4 0 0 0 0 0 1 0 0 0 | * 16 * * * * * * | 2 0 0
ooxo. ..... oxoo. ..... .....&#x & ♦ 1 3 2 | 3 2 1 6 2 1 | 1 1 6 2 0 3 2 1 4 | 0 3 2 1 4 0 1 0 0 0 2 2 | 0 1 0 0 0 2 2 0 0 1 0 0 | * * 192 * * * * * | 0 1 1
..... ..... oxoo.3oooo. .....&#x & ♦ 1 4 1 | 4 1 3 4 3 0 | 3 0 4 3 1 0 3 3 3 | 1 0 3 3 3 0 0 1 1 0 0 3 | 0 0 1 1 0 0 3 0 0 0 1 0 | * * * 64 * * * * | 0 2 0
..... ..... oxoo. ..... ooox.&#x & ♦ 1 4 1 | 4 1 2 4 4 0 | 2 0 4 4 0 0 2 4 4 | 0 0 2 4 4 0 0 0 0 1 0 4 | 0 0 0 0 1 0 4 0 0 0 0 1 | * * * * 48 * * * | 0 0 2
.ox.. ..... .xo..3.oo..3.oo..&#x & ♦ 0 4 2 | 0 0 6 8 0 1 | 0 0 0 0 4 4 12 0 0 | 0 0 0 0 0 1 6 8 0 0 0 0 | 0 0 0 0 0 0 0 4 2 0 0 0 | * * * * * 8 * * | 2 0 0
.oxo. ..... .xoo.3.ooo. .....&#x & ♦ 0 4 2 | 0 0 3 8 3 1 | 0 0 0 0 1 4 6 3 6 | 0 0 0 0 0 0 3 2 1 0 3 6 | 0 0 0 0 0 0 0 1 0 3 2 0 | * * * * * * 32 * | 0 2 0
.oxo. ..... .xoo. ..... .oox.&#x ♦ 0 4 2 | 0 0 2 8 4 1 | 0 0 0 0 0 4 4 4 8 | 0 0 0 0 0 0 2 0 0 1 4 8 | 0 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * 24 | 0 0 2
-----------------------------------+-------+-----------------+--------------------------+----------------------------------+------------------------------------+-------------------------+---------
oox.. ..... oxo..3ooo..3ooo..&#x & ♦ 1 4 2 | 4 2 6 8 0 1 | 6 1 8 0 4 4 12 0 0 | 4 4 12 0 0 1 6 8 0 0 0 0 | 1 6 8 0 0 0 0 4 2 0 0 0 | 4 2 0 0 0 1 0 0 | 16 * *
ooxo. ..... oxoo.3oooo. .....&#x & ♦ 1 4 2 | 4 2 3 8 3 1 | 3 1 8 3 1 4 6 3 6 | 1 4 6 3 6 0 3 2 1 0 3 6 | 0 3 2 1 0 3 6 1 0 3 2 0 | 1 0 3 2 0 0 1 0 | * 64 *
ooxo. ..... oxoo. ..... ooox.&#x & ♦ 1 4 2 | 4 2 2 8 4 1 | 2 1 8 4 0 4 4 4 8 | 0 4 4 4 8 0 2 0 0 1 4 8 | 0 2 0 0 1 4 8 0 0 4 0 2 | 0 0 4 0 2 0 0 1 | * * 48
oxooo3oooxo ooxoo3ooooo4ooooor - height(1,2) = height(1,4) = height(2,4) = height(2,5) = height(4,5) = sqrt(2/3) = 0.816497
height(2,3) = height(3,4) = 1/sqrt(6) = 0.408248
height(1,3) = height(3,5) = sqrt(1/2) = 0.707107
here the tailing "r" denotes a lacing centered rhomb, where a lacing between layers 1 and 5 does not exist
o....3o.... o....3o....4o.... & | 2 * * ♦ 6 6 0 0 0 0 | 6 12 36 6 0 0 0 0 0 0 | 2 8 36 72 6 36 0 0 0 0 0 | 12 72 48 36 72 0 0 0 0 | 24 48 72 48 0 0 | 16 48
.o...3.o... .o...3.o...4.o... & | * 6 * ♦ 2 0 2 6 2 0 | 4 0 12 4 1 12 12 3 12 0 | 2 0 24 24 6 24 6 24 8 18 24 | 12 48 16 36 48 12 16 36 16 | 24 32 72 32 8 24 | 16 48
..o..3..o.. ..o..3..o..4..o.. | * * 6 ♦ 0 2 0 6 0 4 | 0 8 12 0 0 6 24 0 6 4 | 0 8 12 48 0 12 2 24 24 6 24 | 4 48 48 12 48 8 24 24 24 | 16 48 48 48 8 24 | 16 48
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
oo...3oo... oo...3oo...4oo...&#x & | 1 1 0 | 12 * * * * * ♦ 2 0 6 2 0 0 0 0 0 0 | 1 0 12 12 3 12 0 0 0 0 0 | 6 24 8 18 24 0 0 0 0 | 12 16 36 16 0 0 | 8 24
o.o..3o.o.. o.o..3o.o..4o.o..&#x & | 1 0 1 | * 12 * * * * ♦ 0 4 6 0 0 0 0 0 0 0 | 0 4 6 24 0 6 0 0 0 0 0 | 2 24 24 6 24 0 0 0 0 | 8 24 24 24 0 0 | 8 24
.x... ..... ..... ..... ..... & | 0 2 0 | * * 6 * * * ♦ 2 0 0 0 1 6 0 1 0 0 | 2 0 12 0 2 0 6 12 0 6 0 | 12 24 0 12 0 12 8 12 0 | 24 16 24 0 8 8 | 16 16
.oo..3.oo.. .oo..3.oo..4.oo..&#x & | 0 1 1 | * * * 36 * * ♦ 0 0 2 0 0 2 4 0 2 0 | 0 0 4 8 0 4 1 8 4 3 8 | 2 16 8 6 16 4 8 12 8 | 8 16 24 16 4 12 | 8 24
.o.o.3.o.o. .o.o.3.o.o.4.o.o.&#x | 0 2 0 | * * * * 6 * ♦ 0 0 0 2 0 0 0 2 6 0 | 0 0 0 0 4 12 0 0 0 12 12 | 0 0 0 24 24 0 0 24 8 | 0 0 48 16 0 16 | 0 32
..... ..... ..x.. ..... ..... | 0 0 2 | * * * * * 12 ♦ 0 2 0 0 0 0 6 0 0 2 | 0 4 0 12 0 0 0 6 12 0 6 | 0 12 24 0 12 2 12 6 12 | 4 24 12 24 4 12 | 8 24
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
ox... ..... ..... ..... .....&#x & | 1 2 0 | 2 0 1 0 0 0 | 12 * * * * * * * * * ♦ 1 0 6 0 1 0 0 0 0 0 0 | 6 12 0 6 0 0 0 0 0 | 12 8 12 0 0 0 | 8 8
..... ..... o.x.. ..... .....&#x & | 1 0 2 | 0 2 0 0 0 1 | * 24 * * * * * * * * ♦ 0 2 0 6 0 0 0 0 0 0 0 | 0 6 12 0 6 0 0 0 0 | 2 12 6 12 0 0 | 4 12
ooo..3ooo.. ooo..3ooo..4ooo..&#x & | 1 1 1 | 1 1 0 1 0 0 | * * 72 * * * * * * * ♦ 0 0 2 4 0 2 0 0 0 0 0 | 1 8 4 3 8 0 0 0 0 | 4 8 12 8 0 0 | 4 12
oo.o.3oo.o. oo.o.3oo.o.4oo.o.&#x & | 1 2 0 | 2 0 0 0 1 0 | * * * 12 * * * * * * ♦ 0 0 0 0 2 6 0 0 0 0 0 | 0 0 0 12 12 0 0 0 0 | 0 0 24 8 0 0 | 0 16
.x...3.o... ..... ..... ..... & | 0 3 0 | 0 0 3 0 0 0 | * * * * 2 * * * * * ♦ 2 0 0 0 0 0 6 0 0 0 0 | 12 0 0 0 0 12 0 0 0 | 24 0 0 0 8 0 | 16 0
.xo.. ..... ..... ..... .....&#x & | 0 2 1 | 0 0 1 2 0 0 | * * * * * 36 * * * * ♦ 0 0 2 0 0 0 1 4 0 1 0 | 2 8 0 2 0 4 4 4 0 | 8 8 8 0 4 4 | 8 8
..... ..... .ox.. ..... .....&#x & | 0 1 2 | 0 0 0 2 0 1 | * * * * * * 72 * * * ♦ 0 0 0 2 0 0 0 2 2 0 2 | 0 4 4 0 4 1 4 3 4 | 2 8 6 8 2 6 | 4 12
.x.o. ..... ..... ..... .....&#x & | 0 3 0 | 0 0 1 0 2 0 | * * * * * * * 6 * * ♦ 0 0 0 0 2 0 0 0 0 6 0 | 0 0 0 12 0 0 0 12 0 | 0 0 24 0 0 8 | 0 16
.ooo.3.ooo. .ooo.3.ooo.4.ooo.&#x | 0 2 1 | 0 0 0 2 1 0 | * * * * * * * * 36 * ♦ 0 0 0 0 0 2 0 0 0 2 4 | 0 0 0 4 8 0 0 8 4 | 0 0 16 8 0 8 | 0 16
..... ..... ..x..3..o.. ..... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 8 ♦ 0 2 0 0 0 0 0 0 6 0 0 | 0 0 12 0 0 0 6 0 6 | 0 12 0 12 2 6 | 4 12
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
ox...3oo... ..... ..... .....&#x & ♦ 1 3 0 | 3 0 3 0 0 0 | 3 0 0 0 1 0 0 0 0 0 | 4 * * * * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 | 12 0 0 0 0 0 | 8 0
..... ..... o.x..3o.o.. .....&#x & ♦ 1 0 3 | 0 3 0 0 0 3 | 0 3 0 0 0 0 0 0 0 1 | * 16 * * * * * * * * * ♦ 0 0 6 0 0 0 0 0 0 | 0 6 0 6 0 0 | 2 6
oxo.. ..... ..... ..... .....&#x & ♦ 1 2 1 | 2 1 1 2 0 0 | 1 0 2 0 0 1 0 0 0 0 | * * 72 * * * * * * * * ♦ 1 4 0 1 0 0 0 0 0 | 4 4 4 0 0 0 | 4 4
..... ..... oox.. ..... .....&#x & ♦ 1 1 2 | 1 2 0 2 0 1 | 0 1 2 0 0 0 1 0 0 0 | * * * 144 * * * * * * * ♦ 0 2 2 0 2 0 0 0 0 | 1 4 3 4 0 0 | 2 6
ox.o. ..... ..... ..... .....&#x & ♦ 1 3 0 | 3 0 1 0 2 0 | 1 0 0 2 0 0 0 1 0 0 | * * * * 12 * * * * * * ♦ 0 0 0 6 0 0 0 0 0 | 0 0 12 0 0 0 | 0 8
oooo.3oooo. oooo.3oooo.4oooo.&#x & ♦ 1 2 1 | 2 1 0 2 1 0 | 0 0 2 1 0 0 0 0 1 0 | * * * * * 72 * * * * * ♦ 0 0 0 2 4 0 0 0 0 | 0 0 8 4 0 0 | 0 8
.xo..3.oo.. ..... ..... .....&#x & ♦ 0 3 1 | 0 0 3 3 0 0 | 0 0 0 0 1 3 0 0 0 0 | * * * * * * 12 * * * * ♦ 2 0 0 0 0 4 0 0 0 | 8 0 0 0 4 0 | 8 0
.xo.. ..... .ox.. ..... .....&#x & ♦ 0 2 2 | 0 0 1 4 0 1 | 0 0 0 0 0 2 2 0 0 0 | * * * * * * * 72 * * * ♦ 0 2 0 0 0 1 2 1 0 | 2 4 2 0 2 2 | 4 4
..... ..... .ox..3.oo.. .....&#x & ♦ 0 1 3 | 0 0 0 3 0 3 | 0 0 0 0 0 0 3 0 0 1 | * * * * * * * * 48 * * ♦ 0 0 2 0 0 0 2 0 2 | 0 4 0 4 1 3 | 2 6
.xoo. ..... ..... ..... .....&#x & ♦ 0 3 1 | 0 0 1 3 2 0 | 0 0 0 0 0 1 0 1 2 0 | * * * * * * * * * 36 * ♦ 0 0 0 2 0 0 0 4 0 | 0 0 8 0 0 4 | 0 8
..... ..... .oxo. ..... .....&#x ♦ 0 2 2 | 0 0 0 4 1 1 | 0 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * 72 ♦ 0 0 0 0 2 0 0 2 2 | 0 0 4 4 0 4 | 0 8
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
oxo..3ooo.. ..... ..... .....&#x & ♦ 1 3 1 | 3 1 3 3 0 0 | 3 0 3 0 1 3 0 0 0 0 | 1 0 3 0 0 0 1 0 0 0 0 | 24 * * * * * * * * | 4 0 0 0 0 0 | 4 0
oxo.. ..... oox.. ..... .....&#x & ♦ 1 2 2 | 2 2 1 4 0 1 | 1 1 4 0 0 2 2 0 0 0 | 0 0 2 2 0 0 0 1 0 0 0 | * 144 * * * * * * * | 1 2 1 0 0 0 | 2 2
..... ..... oox..3ooo.. .....&#x & ♦ 1 1 3 | 1 3 0 3 0 3 | 0 3 3 0 0 0 3 0 0 1 | 0 1 0 3 0 0 0 0 1 0 0 | * * 96 * * * * * * | 0 2 0 2 0 0 | 1 3
oxoo. ..... ..... ..... .....&#x & ♦ 1 3 1 | 3 1 1 3 2 0 | 1 0 3 2 0 1 0 1 2 0 | 0 0 1 0 1 2 0 0 0 1 0 | * * * 72 * * * * * | 0 0 4 0 0 0 | 0 4
..... ..... ooxo. ..... .....&#x & ♦ 1 2 2 | 2 2 0 4 1 1 | 0 1 4 1 0 0 2 0 2 0 | 0 0 0 2 0 2 0 0 0 0 1 | * * * * 144 * * * * | 0 0 2 2 0 0 | 0 4
.xo..3.oo.. .ox.. ..... .....&#x & ♦ 0 3 2 | 0 0 3 6 0 1 | 0 0 0 0 1 6 3 0 0 0 | 0 0 0 0 0 0 2 3 0 0 0 | * * * * * 24 * * * | 2 0 0 0 2 0 | 4 0
.xo.. ..... .ox..3.oo.. .....&#x & ♦ 0 2 3 | 0 0 1 6 0 3 | 0 0 0 0 0 3 6 0 0 1 | 0 0 0 0 0 0 0 3 2 0 0 | * * * * * * 48 * * | 0 2 0 0 1 1 | 2 2
.xoo. ..... .oxo. ..... .....&#x ♦ 0 3 2 | 0 0 1 6 2 1 | 0 0 0 0 0 2 3 1 4 0 | 0 0 0 0 0 0 0 1 0 2 2 | * * * * * * * 72 * | 0 0 2 0 0 2 | 0 4
..... ..... .oxo.3.ooo. .....&#x ♦ 0 2 3 | 0 0 0 6 1 3 | 0 0 0 0 0 0 6 0 3 1 | 0 0 0 0 0 0 0 0 2 0 3 | * * * * * * * * 48 | 0 0 0 2 0 2 | 0 4
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
oxo..3ooo.. oox.. ..... .....&#x & ♦ 1 3 2 | 3 2 3 6 0 1 | 3 1 6 0 1 6 3 0 0 0 | 1 0 6 3 0 0 2 3 0 0 0 | 2 3 0 0 0 1 0 0 0 | 48 * * * * * | 2 0
oxo.. ..... oox..3ooo.. .....&#x & ♦ 1 2 3 | 2 3 1 6 0 3 | 1 3 6 0 0 3 6 0 0 1 | 0 1 3 6 0 0 0 3 2 0 0 | 0 3 2 0 0 0 1 0 0 | * 96 * * * * | 1 1
oxoo. ..... ooxo. ..... .....&#x & ♦ 1 3 2 | 3 2 1 6 2 1 | 1 1 6 2 0 2 3 1 4 0 | 0 0 2 3 1 4 0 1 0 2 2 | 0 1 0 2 2 0 0 1 0 | * * 144 * * * | 0 2
..... ..... ooxo.3oooo. .....&#x & ♦ 1 2 3 | 2 3 0 6 1 3 | 0 3 6 1 0 0 6 0 3 1 | 0 1 0 6 0 3 0 0 2 0 3 | 0 0 2 0 3 0 0 0 1 | * * * 96 * * | 0 2
.xo..3.oo.. .ox..3.oo.. .....&#x & ♦ 0 3 3 | 0 0 3 9 0 3 | 0 0 0 0 1 9 9 0 0 1 | 0 0 0 0 0 0 3 9 3 0 0 | 0 0 0 0 0 3 3 0 0 | * * * * 16 * | 2 0
.xoo. ..... .oxo.3.ooo. .....&#x & ♦ 0 3 3 | 0 0 1 9 2 3 | 0 0 0 0 0 3 9 1 6 1 | 0 0 0 0 0 0 0 3 3 3 6 | 0 0 0 0 0 0 1 3 2 | * * * * * 48 | 0 2
-----------------------------------+-------+-----------------+----------------------------+----------------------------------+------------------------------+--------------------+------
oxo..3ooo.. oox..3ooo.. .....&#x & ♦ 1 3 3 | 3 3 3 9 0 3 | 3 3 9 0 1 9 9 0 0 1 | 1 1 9 9 0 0 3 9 3 0 0 | 3 9 3 0 0 3 3 0 0 | 3 3 0 0 1 0 | 32 *
oxoo. ..... ooxo.3oooo. .....&#x & ♦ 1 3 3 | 3 3 1 9 2 3 | 1 3 9 2 0 3 9 1 6 1 | 0 1 3 9 1 6 0 3 3 3 6 | 0 3 3 3 6 0 1 3 2 | 0 1 3 2 0 1 | * 96
o(xoo)o o(xoo)o o(oxo)o o(oxo)o o(oox)o o(oox)o&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || ( tegum product of 3 squares ) || pt)
o(...). o(...). o(...). o(...). o(...). o(...). & | 2 * * * ♦ 4 4 4 0 0 0 0 0 0 0 0 0 | 2 2 16 16 2 2 16 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 8 8 8 8 8 8 8 64 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 4 4 4 4 4 4 32 32 32 32 32 32 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 | 16 16 16 16 16 16 16 16 16 16 16 16 0 0 0 0 0 0 0 0 | 8 8 8 8 8 8 8 8
.(o..). .(o..). .(o..). .(o..). .(o..). .(o..). | * 4 * * ♦ 1 0 0 1 1 4 4 0 0 0 0 0 | 2 2 8 8 0 0 0 0 0 4 4 2 2 4 4 2 2 16 0 0 0 0 | 8 8 4 4 8 8 4 4 32 0 0 0 0 2 2 2 2 2 2 2 2 16 16 8 8 8 8 0 0 0 0 | 4 4 4 4 4 4 4 4 32 32 16 16 16 16 0 0 0 0 8 8 8 8 8 8 8 8 4 4 4 4 | 16 16 16 16 16 16 16 16 8 8 8 8 4 4 4 4 4 4 4 4 | 8 8 8 8 8 8 8 8
.(.o.). .(.o.). .(.o.). .(.o.). .(.o.). .(.o.). | * * 4 * ♦ 0 1 0 0 0 4 0 1 1 4 0 0 | 0 0 8 0 2 2 8 0 0 2 2 4 4 0 0 0 0 16 4 4 2 2 | 4 4 8 8 0 0 0 0 32 8 8 4 4 2 2 2 2 0 0 0 0 8 8 16 16 8 8 2 2 2 2 | 4 4 4 4 0 0 0 0 16 16 32 32 16 16 4 4 4 4 8 8 4 4 8 8 4 4 8 8 8 8 | 16 16 8 8 16 16 8 8 16 16 16 16 4 4 4 4 4 4 4 4 | 8 8 8 8 8 8 8 8
.(..o). .(..o). .(..o). .(..o). .(..o). .(..o). | * * * 4 ♦ 0 0 1 0 0 0 4 0 0 4 1 1 | 0 0 0 8 0 0 8 2 2 0 0 0 0 2 2 4 4 16 2 2 4 4 | 0 0 0 0 4 4 8 8 32 4 4 8 8 0 0 0 0 2 2 2 2 8 8 8 8 16 16 2 2 2 2 | 0 0 0 0 4 4 4 4 16 16 16 16 32 32 4 4 4 4 4 4 8 8 4 4 8 8 8 8 8 8 | 8 8 16 16 8 8 16 16 16 16 16 16 4 4 4 4 4 4 4 4 | 8 8 8 8 8 8 8 8
------------------------------------------------------+---------+----------------------------+-------------------------------------------------+-----------------------------------------------------------------------------------+-------------------------------------------------------------------------------+-----------------------------------------------------+------------------------
o(o..). o(o..). o(o..). o(o..). o(o..). o(o..).&#x & | 1 1 0 0 | 8 * * * * * * * * * * * ♦ 1 1 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 2 2 4 4 2 2 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 2 2 2 2 2 16 16 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 8 8 8 8 8 8 8 4 4 4 4 0 0 0 0 0 0 0 0 | 4 4 4 4 4 4 4 4
o(.o.). o(.o.). o(.o.). o(.o.). o(.o.). o(.o.).&#x & | 1 0 1 0 | * 8 * * * * * * * * * * ♦ 0 0 4 0 1 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 4 4 0 0 0 0 16 4 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 2 0 0 0 0 8 8 16 16 8 8 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 8 8 4 4 8 8 4 4 8 8 8 8 0 0 0 0 0 0 0 0 | 4 4 4 4 4 4 4 4
o(..o). o(..o). o(..o). o(..o). o(..o). o(..o).&#x & | 1 0 0 1 | * * 8 * * * * * * * * * ♦ 0 0 0 4 0 0 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 2 4 4 16 2 2 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 2 2 2 2 8 8 8 8 16 16 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 8 8 4 4 8 8 8 8 8 8 0 0 0 0 0 0 0 0 | 4 4 4 4 4 4 4 4
.(x..). .(...). .(...). .(...). .(...). .(...). | 0 2 0 0 | * * * 2 * * * * * * * * ♦ 2 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 | 8 0 0 0 8 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 16 0 0 0 0 0 0 0 0 0 | 4 4 0 0 4 4 0 0 32 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 | 16 16 16 16 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 | 8 8 8 8 0 0 0 0
.(...). .(x..). .(...). .(...). .(...). .(...). | 0 2 0 0 | * * * * 2 * * * * * * * ♦ 0 2 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 | 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 16 0 0 0 0 0 0 0 0 | 0 0 4 4 0 0 4 4 0 32 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 0 | 0 0 0 0 16 16 16 16 0 0 0 0 0 0 0 0 4 4 4 4 | 0 0 0 0 8 8 8 8
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