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Acronym
|
rag (old: ric)
|
|
Name
|
rectified hexacontitetrapeton,
lattice B6 contact polytope (span of its small roots),
lattice D6 contact polytope (span of its roots),
equatorial cross-section of gee-first rez,
equatorial cross-section of vertex-first laq
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|
Circumradius
|
1
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Inradius
wrt. tac
|
1/sqrt(2) = 0.707107
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Inradius
wrt. rix
|
1/sqrt(3) = 0.577350
|
Lace city
in approx. ASCII-art
|
 ©
|
o h o -- x3o3o3o4o (tac)
h I h -- o3x3o3o4o (rat)
o h o -- x3o3o3o4o (tac)
\ \ \ \ \
\ \ \ \ +-- o o3o3o4o (point)
\ \ \ +---- x x3o3o4o (hexip)
\ \ +------ compound of:
\ \ o o3x3o4o (ico)
\ \ u o3o3o4o (u-line)
\ +---- x x3o3o4o (hexip)
+------ o o3o3o4o (point)
where:
o = o3o3o *b3o (point)
h = x3o3o *b3o (hex)
I = o3x3o *b3o (ico)
|
|
p P -- x3o3o3o4o (tac)
r S R -- o3x3o3o4o (rat)
p P -- x3o3o3o4o (tac)
\ \ \
\ \ +- o3x3o3o3o (rix)
\ +---- x3o3o3o3x (scad)
+------- o3o3o3x3o (inv. rix)
where:
p = x3o3o3o (pen)
P = o3o3o3x (dual pen)
r = o3x3o3o (rap)
R = o3o3x3o (inv. rap)
S = x3o3o3x (spid)
|
Lace hyper city
in approx. ASCII-art
|
o
o O o
o
|
o O o
O C O
o O o
|
o
o O o
o
|
where:
o = o3o4o (point)
O = x3o4o (oct)
C = o3x4o (co)
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|
Coordinates
|
(1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign
|
|
Volume
|
29/45 = 0.644444
|
|
Surface
|
(6 sqrt(2)+52 sqrt(3))/15 = 6.570128
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Dihedral angles
(at margins)
|
- at rap between rix and rix: arccos(-2/3) = 131.810315°
- at pen between rix and tac: arccos[-1/sqrt(6)] = 114.094843°
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Face vector
|
60, 480, 1120, 1200, 576, 76
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Confer
|
- related segmentopeta:
-
taccarat
rixascad
hexipaico
hexipaco
hexippy
squahex
hexarat
- related scaliform:
-
xedrag
- related CRFs:
-
raddirag
tedrag
- ambification:
-
srog
- ambification pre-image:
-
gee
- general polytopal classes:
-
Wythoffian polypeta
lace simplices
- analogs:
-
rectified orthoplex rOn
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External
links
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|
Incidence matrix according to Dynkin symbol
o3x3o3o3o4o
. . . . . . | 60 ♦ 16 | 8 48 | 24 64 | 32 32 | 16 2
------------+----+-----+---------+---------+---------+------
. x . . . . | 2 | 480 | 1 6 | 6 12 | 12 8 | 8 1
------------+----+-----+---------+---------+---------+------
o3x . . . . | 3 | 3 | 160 * ♦ 6 0 | 12 0 | 8 0
. x3o . . . | 3 | 3 | * 960 | 1 4 | 4 4 | 4 1
------------+----+-----+---------+---------+---------+------
o3x3o . . . ♦ 6 | 12 | 4 4 | 240 * | 4 0 | 4 0
. x3o3o . . ♦ 4 | 6 | 0 4 | * 960 | 1 2 | 2 1
------------+----+-----+---------+---------+---------+------
o3x3o3o . . ♦ 10 | 30 | 10 20 | 5 5 | 192 * | 2 0
. x3o3o3o . ♦ 5 | 10 | 0 10 | 0 5 | * 384 | 1 1
------------+----+-----+---------+---------+---------+------
o3x3o3o3o . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 64 *
. x3o3o3o4o ♦ 10 | 40 | 0 80 | 0 80 | 0 32 | * 12
o3x3o3o3o4/3o
. . . . . . | 60 ♦ 16 | 8 48 | 24 64 | 32 32 | 16 2
--------------+----+-----+---------+---------+---------+------
. x . . . . | 2 | 480 | 1 6 | 6 12 | 12 8 | 8 1
--------------+----+-----+---------+---------+---------+------
o3x . . . . | 3 | 3 | 160 * ♦ 6 0 | 12 0 | 8 0
. x3o . . . | 3 | 3 | * 960 | 1 4 | 4 4 | 4 1
--------------+----+-----+---------+---------+---------+------
o3x3o . . . ♦ 6 | 12 | 4 4 | 240 * | 4 0 | 4 0
. x3o3o . . ♦ 4 | 6 | 0 4 | * 960 | 1 2 | 2 1
--------------+----+-----+---------+---------+---------+------
o3x3o3o . . ♦ 10 | 30 | 10 20 | 5 5 | 192 * | 2 0
. x3o3o3o . ♦ 5 | 10 | 0 10 | 0 5 | * 384 | 1 1
--------------+----+-----+---------+---------+---------+------
o3x3o3o3o . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 64 *
. x3o3o3o4/3o ♦ 10 | 40 | 0 80 | 0 80 | 0 32 | * 12
o3o3o *b3o3x3o
. . . . . . | 60 ♦ 16 | 48 8 | 64 24 | 16 16 32 | 2 8 8
---------------+----+-----+---------+---------+-------------+---------
. . . . x . | 2 | 480 | 6 1 | 12 6 | 4 4 12 | 1 4 4
---------------+----+-----+---------+---------+-------------+---------
. . . o3x . | 3 | 3 | 960 * | 4 1 | 2 2 4 | 1 2 2
. . . . x3o | 3 | 3 | * 160 ♦ 0 6 | 0 0 12 | 0 4 4
---------------+----+-----+---------+---------+-------------+---------
. o . *b3o3x . ♦ 4 | 6 | 4 0 | 960 * | 1 1 1 | 1 1 1
. . . o3x3o ♦ 6 | 12 | 4 4 | * 240 | 0 0 4 | 0 2 2
---------------+----+-----+---------+---------+-------------+---------
o3o . *b3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 192 * * | 1 1 0
. o3o *b3o3x . ♦ 5 | 10 | 10 0 | 5 0 | * 192 * | 1 0 1
. o . *b3o3x3o ♦ 10 | 30 | 20 10 | 5 5 | * * 192 | 0 1 1
---------------+----+-----+---------+---------+-------------+---------
o3o3o *b3o3x . ♦ 10 | 40 | 80 0 | 80 0 | 16 16 0 | 12 * *
o3o . *b3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 6 0 6 | * 32 *
. o3o *b3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 0 6 6 | * * 32
xox3oxo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(tac || (pseudo) rat || tac)
o..3o..3o..3o..4o.. & | 20 * ♦ 8 8 0 | 24 8 24 0 0 | 32 24 32 0 0 | 16 32 16 0 | 1 16 1
.o.3.o.3.o.3.o.4.o. | * 40 ♦ 0 4 12 | 0 2 24 6 24 | 0 12 48 12 16 | 0 24 32 8 | 0 16 2
-------------------------+-------+------------+-------------------+--------------------+---------------+--------
x.. ... ... ... ... & | 2 0 | 80 * * | 6 1 0 0 0 | 12 6 0 0 0 | 8 12 0 0 | 1 8 0
oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 160 * | 0 1 6 0 0 | 0 6 12 0 0 | 0 12 8 0 | 0 8 1
... .x. ... ... ... | 0 2 | * * 240 | 0 0 2 1 4 | 0 2 8 4 4 | 0 8 8 4 | 0 8 1
-------------------------+-------+------------+-------------------+--------------------+---------------+--------
x..3o.. ... ... ... & | 3 0 | 3 0 0 | 160 * * * * | 4 1 0 0 0 | 4 4 0 0 | 1 4 0
xo. ... ... ... ...&#x & | 2 1 | 1 2 0 | * 80 * * * ♦ 0 6 0 0 0 | 0 12 0 0 | 0 8 0
... ox. ... ... ...&#x & | 1 2 | 0 2 1 | * * 480 * * | 0 1 4 0 0 | 0 4 4 0 | 0 4 1
.o.3.x. ... ... ... | 0 3 | 0 0 3 | * * * 80 * ♦ 0 2 0 4 0 | 0 8 0 4 | 0 8 0
... .x.3.o. ... ... | 0 3 | 0 0 3 | * * * * 320 | 0 0 2 1 2 | 0 2 4 2 | 0 4 1
-------------------------+-------+------------+-------------------+--------------------+---------------+--------
x..3o..3o.. ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 160 * * * * | 2 1 0 0 | 1 2 0
xo.3ox. ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 160 * * * | 0 4 0 0 | 0 4 0
... ox.3oo. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 640 * * | 0 1 2 0 | 0 2 1
.o.3.x.3.o. ... ... ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 80 * | 0 2 0 2 | 0 4 0
... .x.3.o.3.o. ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 160 | 0 0 2 1 | 0 2 1
-------------------------+-------+------------+-------------------+--------------------+---------------+--------
x..3o..3o..3o.. ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 64 * * * | 1 1 0
xo.3ox.3oo. ... ...&#x & ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 160 * * | 0 2 0
... ox.3oo.3oo. ...&#x & ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 320 * | 0 1 1
.o.3.x.3.o.3.o. ... ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 32 | 0 2 0
-------------------------+-------+------------+-------------------+--------------------+---------------+--------
x..3o..3o..3o..4o.. & ♦ 10 0 | 40 0 0 | 80 0 0 0 0 | 80 0 0 0 0 | 32 0 0 0 | 2 * *
xo.3ox.3oo.3oo. ...&#x & ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 | * 64 *
... oxo3ooo3ooo4ooo&#xt ♦ 2 8 | 0 16 24 | 0 0 48 0 32 | 0 0 64 0 16 | 0 0 32 0 | * * 10
oq ox3xo3oo3oo4oo&#zx → height = 0
(tegum sum of rat with a q-laced taccup variant)
o. o.3o.3o.3o.4o. | 40 * ♦ 12 4 0 | 6 24 2 24 0 | 12 16 12 48 0 | 8 24 32 0 | 2 16 0
.o .o3.o3.o3.o4.o | * 20 ♦ 0 8 8 | 0 0 8 24 24 | 0 0 24 32 32 | 0 32 16 16 | 1 16 1
----------------------+-------+------------+-------------------+--------------------+---------------+--------
.. .. x. .. .. .. | 2 0 | 240 * * | 1 4 0 2 0 | 4 4 2 8 0 | 4 8 8 0 | 1 8 0
oo oo3oo3oo3oo4oo&#x | 1 1 | * 160 * | 0 0 1 6 0 | 0 0 6 12 0 | 0 12 8 0 | 1 8 0
.. .x .. .. .. .. | 0 2 | * * 80 | 0 0 1 0 6 | 0 0 6 0 12 | 0 12 0 8 | 0 8 1
----------------------+-------+------------+-------------------+--------------------+---------------+--------
.. o.3x. .. .. .. | 3 0 | 3 0 0 | 80 * * * * ♦ 4 0 2 0 0 | 4 8 0 0 | 0 8 0
.. .. x.3o. .. .. | 3 0 | 3 0 0 | * 320 * * * | 1 2 0 2 0 | 2 2 4 0 | 1 4 0
.. ox .. .. .. ..&#x | 1 2 | 0 2 1 | * * 80 * * ♦ 0 0 6 0 0 | 0 12 0 0 | 0 8 0
.. .. xo .. .. ..&#x | 2 1 | 1 2 0 | * * * 480 * | 0 0 1 4 0 | 0 4 4 0 | 1 4 0
.. .x3.o .. .. .. | 0 3 | 0 0 3 | * * * * 160 | 0 0 1 0 4 | 0 4 0 4 | 0 4 1
----------------------+-------+------------+-------------------+--------------------+---------------+--------
.. o.3x.3o. .. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 | 80 * * * * | 2 2 0 0 | 0 4 0
.. .. x.3o.3o. .. ♦ 4 0 | 6 0 0 | 0 4 0 0 0 | * 160 * * * | 1 0 2 0 | 1 2 0
.. ox3xo .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 0 3 3 1 | * * 160 * * | 0 4 0 0 | 0 4 0
.. .. xo3oo .. ..&#x ♦ 3 1 | 3 3 0 | 0 1 0 3 0 | * * * 640 * | 0 1 2 0 | 1 2 0
.. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 160 | 0 1 0 2 | 0 2 1
----------------------+-------+------------+-------------------+--------------------+---------------+--------
.. o.3x.3o.3o. .. ♦ 10 0 | 30 0 0 | 10 20 0 0 0 | 5 5 0 0 0 | 32 * * * | 0 2 0
.. ox3xo3oo .. ..&#x ♦ 6 4 | 12 12 6 | 4 4 6 12 4 | 1 0 4 4 1 | * 160 * * | 0 2 0
.. .. xo3oo3oo ..&#x ♦ 4 1 | 6 4 0 | 0 4 0 6 0 | 0 1 0 4 0 | * * 320 * | 1 1 0
.. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * 64 | 0 1 1
----------------------+-------+------------+-------------------+--------------------+---------------+--------
oq .. xo3oo3oo4oo&#zx ♦ 8 2 | 24 16 0 | 0 32 0 48 0 | 0 16 0 64 0 | 0 0 32 0 | 10 * *
.. ox3xo3oo3oo ..&#x ♦ 10 5 | 30 20 10 | 10 20 10 30 10 | 5 5 10 20 5 | 1 5 5 1 | * 64 *
.. .x3.o3.o3.o4.o ♦ 0 10 | 0 0 40 | 0 0 0 0 80 | 0 0 0 0 80 | 0 0 0 32 | * * 2
oxo3xoo3ooo3oox3oxo&#xt → both heights = 1/sqrt(3) = 0.577350
(rix || pseudo scad || inv rix)
o..3o..3o..3o..3o.. & | 30 * ♦ 8 8 0 | 4 12 4 12 24 0 | 6 8 12 24 24 8 6 0 | 4 2 12 8 12 8 2 16 0 | 1 4 2 7 4
.o.3.o.3.o.3.o.3.o. | * 30 ♦ 0 8 8 | 0 0 8 24 12 12 | 0 0 12 8 24 24 12 8 | 0 0 8 2 8 12 8 24 2 | 0 2 2 8 6
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
... x.. ... ... ... & | 2 0 | 120 * * | 1 3 0 0 3 0 | 3 3 3 6 3 0 0 0 | 3 1 6 3 3 1 0 3 0 | 1 3 1 3 1
oo.3oo.3oo.3oo.3oo.&#x & | 1 1 | * 240 * | 0 0 1 3 3 0 | 0 0 3 3 6 3 3 0 | 0 0 3 1 3 3 1 9 0 | 0 1 1 4 3
.x. ... ... ... ... & | 0 2 | * * 120 | 0 0 1 3 0 3 | 0 0 3 0 3 6 3 3 | 0 0 3 0 1 3 3 9 1 | 0 1 1 4 3
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x.. ... ... ... & | 3 0 | 3 0 0 | 40 * * * * * ♦ 3 0 3 0 0 0 0 0 | 3 0 6 0 0 0 0 3 0 | 1 3 0 3 1
... x..3o.. ... ... & | 3 0 | 3 0 0 | * 120 * * * * | 1 2 0 2 0 0 0 0 | 2 1 2 2 1 0 0 0 0 | 1 2 1 1 0
ox. ... ... ... ...&#x & | 1 2 | 0 2 1 | * * 120 * * * ♦ 0 0 3 0 0 0 3 0 | 0 0 3 0 0 0 0 9 0 | 0 1 0 4 3
... ... ... ... ox.&#x & | 1 2 | 0 2 1 | * * * 360 * * | 0 0 0 0 2 2 1 0 | 0 0 0 0 1 2 1 4 0 | 0 0 1 2 2
... xo. ... ... ...&#x & | 2 1 | 1 2 0 | * * * * 360 * | 0 0 1 2 2 0 0 0 | 0 0 2 1 2 1 0 2 0 | 0 1 1 2 1
.x.3.o. ... ... ... & | 0 3 | 0 0 3 | * * * * * 120 | 0 0 1 0 0 2 0 2 | 0 0 2 0 0 1 2 2 1 | 0 1 1 2 1
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o.. ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 30 * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 2 0 1 0
... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 60 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
ox.3xo. ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 0 3 1 | * * 120 * * * * * | 0 0 2 0 0 0 0 2 0 | 0 1 0 2 1
... xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 | 0 1 0 0 3 0 | * * * 240 * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
... xo. ... ... ox.&#x & ♦ 2 2 | 1 4 1 | 0 0 0 2 2 0 | * * * * 360 * * * | 0 0 0 0 1 1 0 1 0 | 0 0 1 1 1
... ... ... oo.3ox.&#x & ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * * 240 * * | 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1
oxo ... ... ... oxo&#xt ♦ 2 4 | 0 8 4 | 0 0 4 4 0 0 | * * * * * * 90 * | 0 0 0 0 0 0 0 4 0 | 0 0 0 2 2
.x.3.o.3.o. ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 60 | 0 0 1 0 0 0 1 0 1 | 0 1 1 1 0
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o..3o.. ... & ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 12 * * * * * * * * | 1 1 0 0 0
... x..3o..3o..3o.. & ♦ 5 0 | 10 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0
ox.3xo.3oo. ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 6 0 12 4 | 1 0 4 4 0 0 0 1 | * * 60 * * * * * * | 0 1 0 1 0
... xo.3oo.3oo. ...&#x & ♦ 4 1 | 6 4 0 | 0 4 0 0 6 0 | 0 1 0 4 0 0 0 0 | * * * 60 * * * * * | 0 1 1 0 0
... xo.3oo. ... ox.&#x & ♦ 3 2 | 3 6 1 | 0 1 0 3 6 0 | 0 0 0 2 3 0 0 0 | * * * * 120 * * * * | 0 0 1 1 0
... xo. ... oo.3ox.&#x & ♦ 2 3 | 1 6 3 | 0 0 0 6 3 1 | 0 0 0 0 3 2 0 0 | * * * * * 120 * * * | 0 0 1 0 1
... ... oo.3oo.3ox.&#x & ♦ 1 4 | 0 4 6 | 0 0 0 6 0 4 | 0 0 0 0 0 4 0 1 | * * * * * * 60 * * | 0 0 1 1 0
oxo3xoo ... ... oxo&#xt & ♦ 4 6 | 3 18 9 | 1 0 9 12 6 2 | 0 0 2 0 3 2 3 0 | * * * * * * * 120 * | 0 0 0 1 1
.x.3.o.3.o.3.o. ... & ♦ 0 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * 12 | 0 1 1 0 0
--------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+--------------
o..3x..3o..3o..3o.. & ♦ 15 0 | 60 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 | 2 * * * *
ox.3xo.3oo.3oo. ...&#x & ♦ 10 5 | 30 20 10 | 10 20 10 0 30 10 | 5 5 10 20 0 0 0 5 | 1 0 5 5 0 0 0 0 1 | * 12 * * *
... xo.3oo.3oo.3ox.&#x & ♦ 5 5 | 10 20 10 | 0 10 0 30 30 10 | 0 5 0 20 30 20 0 5 | 0 1 0 5 10 10 5 0 1 | * * 12 * *
oxo3xoo3ooo ... oxo&#xt & ♦ 7 8 | 12 32 16 | 4 4 16 24 24 8 | 1 0 8 8 12 8 6 2 | 0 0 2 0 4 0 2 4 0 | * * * 30 *
oxo3xoo ... oox3oxo&#xt ♦ 6 9 | 6 36 18 | 2 0 18 36 18 6 | 0 0 6 0 18 12 9 0 | 0 0 0 0 0 6 0 6 0 | * * * * 20
oxo4ooq oxo3xoo3ooo4ooo&#zx → height = 0
(tegum sum of ico, squahex and perp-gyro q-{4})
o..4o.. o..3o..3o..4o.. | 24 * * ♦ 8 8 0 0 0 | 4 8 8 4 32 0 0 0 | 4 4 32 16 32 0 0 | 16 32 16 0 | 2 16 0
.o.4.o. .o.3.o.3.o.4.o. | * 32 * ♦ 0 6 2 6 2 | 0 0 12 6 12 12 2 12 | 0 12 24 12 8 8 24 | 24 16 8 16 | 1 16 1
..o4..o ..o3..o3..o4..o | * * 4 ♦ 0 0 0 0 16 | 0 0 0 0 0 0 8 48 | 0 24 0 0 0 0 64 | 32 0 0 32 | 0 16 2
----------------------------+---------+-----------------+-----------------------------+--------------------------+----------------+-------
... ... ... x.. ... ... | 2 0 0 | 96 * * * * | 1 2 0 0 4 0 0 0 | 2 0 4 4 8 0 0 | 4 8 8 0 | 1 8 0
oo.4oo. oo.3oo.3oo.4oo.&#x | 1 1 0 | * 192 * * * | 0 0 2 1 4 0 0 0 | 0 2 8 4 4 0 0 | 8 8 4 0 | 1 8 0
.x. ... ... ... ... ... | 0 2 0 | * * 32 * * | 0 0 6 0 0 0 1 0 | 0 6 12 0 0 0 0 | 12 8 0 0 | 1 8 0
... ... .x. ... ... ... | 0 2 0 | * * * 96 * | 0 0 0 1 0 4 0 2 | 0 2 0 4 0 4 8 | 8 0 4 8 | 0 8 1
.oo4.oo .oo3.oo3.oo4.oo&#x | 0 1 1 | * * * * 64 | 0 0 0 0 0 0 1 6 | 0 6 0 0 0 0 12 | 12 0 0 8 | 0 8 1
----------------------------+---------+-----------------+-----------------------------+--------------------------+----------------+-------
... ... o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 | 32 * * * * * * * ♦ 2 0 0 4 0 0 0 | 4 0 8 0 | 0 8 0
... ... ... x..3o.. ... | 3 0 0 | 3 0 0 0 0 | * 64 * * * * * * | 1 0 0 0 4 0 0 | 0 4 4 0 | 1 4 0
ox. ... ... ... ... ...&#x | 1 2 0 | 0 2 1 0 0 | * * 192 * * * * * | 0 1 4 0 0 0 0 | 4 4 0 0 | 1 4 0
... ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 | * * * 96 * * * * ♦ 0 2 0 4 0 0 0 | 8 0 4 0 | 0 8 0
... ... ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 | * * * * 384 * * * | 0 0 2 1 2 0 0 | 2 4 2 0 | 1 4 0
... ... .x.3.o. ... ... | 0 3 0 | 0 0 0 3 0 | * * * * * 128 * * | 0 0 0 1 0 2 2 | 2 0 2 4 | 0 4 1
.xo ... ... ... ... ...&#x | 0 2 1 | 0 0 1 0 2 | * * * * * * 32 * ♦ 0 6 0 0 0 0 0 | 12 0 0 0 | 0 8 0
... ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 | * * * * * * * 192 | 0 1 0 0 0 0 4 | 4 0 0 4 | 0 4 1
----------------------------+---------+-----------------+-----------------------------+--------------------------+----------------+-------
... ... o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 | 16 * * * * * * | 0 0 4 0 | 0 4 0
oxo ... oxo ... ... ...&#xt ♦ 1 4 1 | 0 4 2 2 4 | 0 0 2 2 0 0 2 2 | * 96 * * * * * | 4 0 0 0 | 0 4 0
ox. ... ... xo. ... ...&#x ♦ 2 2 0 | 1 4 1 0 0 | 0 0 2 0 2 0 0 0 | * * 384 * * * * | 1 2 0 0 | 1 2 0
... ... ox.3xo. ... ...&#x ♦ 3 3 0 | 3 6 0 3 0 | 1 0 0 3 3 1 0 0 | * * * 128 * * * | 2 0 2 0 | 0 4 0
... ... ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 0 1 0 0 3 0 0 0 | * * * * 256 * * | 0 2 1 0 | 1 2 0
... ... .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * 64 * | 0 0 1 2 | 0 2 1
... ... .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 | 0 0 0 0 0 1 0 3 | * * * * * * 256 | 1 0 0 2 | 0 2 1
----------------------------+---------+-----------------+-----------------------------+--------------------------+----------------+-------
oxo ... oxo3xoo ... ...&#xt ♦ 3 6 1 | 3 12 3 6 6 | 1 0 6 6 6 2 3 6 | 0 3 3 2 0 0 2 | 128 * * * | 0 2 0
ox. ... ... xo.3oo. ...&#x ♦ 3 2 0 | 3 6 1 0 0 | 0 1 3 0 6 0 0 0 | 0 0 3 0 2 0 0 | * 256 * * | 1 1 0
... ... ox.3xo.3oo. ...&#x ♦ 6 4 0 | 12 12 0 6 0 | 4 4 0 6 12 4 0 0 | 1 0 0 4 4 1 0 | * * 64 * | 0 2 0
... ... .xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 0 0 6 4 | 0 0 0 0 0 4 0 6 | 0 0 0 0 0 1 4 | * * * 128 | 0 1 1
----------------------------+---------+-----------------+-----------------------------+--------------------------+----------------+-------
ox.4oo. ... xo.3oo.4oo.&#zx ♦ 6 4 0 | 12 24 4 0 0 | 0 8 24 0 48 0 0 0 | 0 0 48 0 32 0 0 | 0 32 0 0 | 8 * *
oxo ... oxo3xoo3ooo ...&#xt ♦ 6 8 1 | 12 24 4 12 8 | 4 4 12 12 24 8 4 12 | 1 6 12 8 8 2 8 | 4 4 2 2 | * 64 *
... .oq .xo3.oo3.oo4.oo&#x ♦ 0 8 2 | 0 0 0 24 16 | 0 0 0 0 0 32 0 48 | 0 0 0 0 0 16 64 | 0 0 0 32 | * * 4
oxo3oox4ooo oxo3xoo4ooo&#zx → all existing heights = 0
(tegum sum of 2 mutually perp coes with octdip)
o..3o..4o.. o..3o..4o.. | 12 * * ♦ 4 12 0 0 0 0 | 2 24 6 24 0 0 0 0 0 0 | 16 12 48 12 0 0 0 | 8 32 24 0 | 2 16 0
.o.3.o.4.o. .o.3.o.4.o. | * 36 * ♦ 0 4 4 4 4 0 | 0 16 4 4 4 4 4 4 16 0 | 16 16 16 4 4 16 16 | 16 16 16 16 | 1 16 1
..o3..o4..o ..o3..o4..o | * * 12 ♦ 0 0 0 0 12 4 | 0 0 0 0 0 0 6 24 24 2 | 0 12 0 0 12 48 16 | 24 0 8 32 | 0 16 2
----------------------------+----------+---------------------+---------------------------------+---------------------------+---------------+-------
... ... ... ... x.. ... | 2 0 0 | 24 * * * * * | 1 0 0 6 0 0 0 0 0 0 | 0 0 12 6 0 0 0 | 0 8 12 0 | 1 8 0
oo.3oo.4oo. oo.3oo.4oo.&#x | 1 1 0 | * 144 * * * * | 0 4 1 2 0 0 0 0 0 0 | 4 4 8 2 0 0 0 | 4 8 8 0 | 1 8 0
.x. ... ... ... ... ... | 0 2 0 | * * 72 * * * | 0 4 0 0 2 0 1 0 0 0 | 8 4 4 0 2 0 0 | 8 8 4 0 | 1 8 0
... ... ... .x. ... ... | 0 2 0 | * * * 72 * * | 0 0 1 0 0 2 0 0 4 0 | 0 4 0 2 0 4 8 | 4 0 8 8 | 0 8 1
.oo3.oo4.oo .oo3.oo4.oo&#x | 0 1 1 | * * * * 144 * | 0 0 0 0 0 0 1 2 4 0 | 0 4 0 0 2 8 4 | 8 0 4 8 | 0 8 1
... ..x ... ... ... ... | 0 0 2 | * * * * * 24 | 0 0 0 0 0 0 0 6 0 1 | 0 0 0 0 6 12 0 | 12 0 0 8 | 0 8 1
----------------------------+----------+---------------------+---------------------------------+---------------------------+---------------+-------
... ... ... o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 | 8 * * * * * * * * * ♦ 0 0 0 6 0 0 0 | 0 0 12 0 | 0 8 0
ox. ... ... ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 | * 288 * * * * * * * * | 2 1 2 0 0 0 0 | 2 4 2 0 | 1 4 0
... ... ... ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 72 * * * * * * * ♦ 0 4 0 2 0 0 0 | 4 0 8 0 | 0 8 0
... ... ... ... xo. ...&#x | 2 1 0 | 1 2 0 0 0 0 | * * * 144 * * * * * * | 0 0 4 1 0 0 0 | 0 4 4 0 | 1 4 0
.x.3.o. ... ... ... ... | 0 3 0 | 0 0 3 0 0 0 | * * * * 48 * * * * * | 4 0 0 0 1 0 0 | 4 4 0 0 | 1 4 0
... ... ... .x.3.o. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 48 * * * * | 0 0 0 1 0 0 4 | 0 0 4 4 | 0 4 1
.xo ... ... ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * 72 * * * ♦ 0 4 0 0 2 0 0 | 8 0 4 0 | 0 8 0
... .ox ... ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 144 * * | 0 0 0 0 1 4 0 | 4 0 0 4 | 0 4 1
... ... ... .xo ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * 288 * | 0 1 0 0 0 2 2 | 2 0 2 4 | 0 4 1
..o3..x ... ... ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 8 ♦ 0 0 0 0 6 0 0 | 12 0 0 0 | 0 8 0
----------------------------+----------+---------------------+---------------------------------+---------------------------+---------------+-------
ox.3oo. ... ... ... ...&#x ♦ 1 3 0 | 0 3 3 0 0 0 | 0 3 0 0 1 0 0 0 0 0 | 192 * * * * * * | 1 2 0 0 | 1 2 0
oxo ... ... oxo ... ...&#xt ♦ 1 4 1 | 0 4 2 2 4 0 | 0 2 2 0 0 0 2 0 2 0 | * 144 * * * * * | 2 0 2 0 | 0 4 0
ox. ... ... ... xo. ...&#x ♦ 2 2 0 | 1 4 1 0 0 0 | 0 2 0 2 0 0 0 0 0 0 | * * 288 * * * * | 0 2 1 0 | 1 2 0
... ... ... ox.3xo. ...&#x ♦ 3 3 0 | 3 6 0 3 0 0 | 1 0 3 3 0 1 0 0 0 0 | * * * 48 * * * | 0 0 4 0 | 0 4 0
.xo3.ox ... ... ... ...&#x ♦ 0 3 3 | 0 0 3 0 6 3 | 0 0 0 0 1 0 3 3 0 1 | * * * * 48 * * | 4 0 0 0 | 0 4 0
... .ox ... .xo ... ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 0 2 2 0 | * * * * * 288 * | 1 0 0 2 | 0 2 1
... ... ... .xo3.oo ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 1 0 0 3 0 | * * * * * * 192 | 0 0 1 2 | 0 2 1
----------------------------+----------+---------------------+---------------------------------+---------------------------+---------------+-------
oxo3oox ... oxo ... ...&#xt ♦ 1 6 3 | 0 6 6 3 12 3 | 0 6 3 0 2 0 6 6 6 1 | 2 3 0 0 2 3 0 | 96 * * * | 0 2 0
ox.3oo. ... ... xo. ...&#x ♦ 2 3 0 | 1 6 3 0 0 0 | 0 6 0 3 1 0 0 0 0 0 | 2 0 3 0 0 0 0 | * 192 * * | 1 1 0
oxo ... ... oxo3xoo ...&#xt ♦ 3 6 1 | 3 12 3 6 6 0 | 1 6 6 6 0 2 3 0 6 0 | 0 3 3 2 0 0 2 | * * 96 * | 0 2 0
... .ox ... .xo3.oo ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0 1 0 3 6 0 | 0 0 0 0 0 3 2 | * * * 192 | 0 1 1
----------------------------+----------+---------------------+---------------------------------+---------------------------+---------------+-------
ox.3oo.4oo. ... xo.4oo.&#zx ♦ 4 6 0 | 4 24 12 0 0 0 | 0 48 0 24 8 0 0 0 0 0 | 32 0 48 0 0 0 0 | 0 32 0 0 | 6 * *
oxo3oox ... oxo3xoo ...&#xt ♦ 3 9 3 | 3 18 9 9 18 3 | 1 18 9 9 3 3 9 9 18 1 | 6 9 9 3 3 9 6 | 3 3 3 3 | * 64 *
... .ox4.oo .xo3.oo4.oo&#zx ♦ 0 6 4 | 0 0 0 12 24 4 | 0 0 0 0 0 8 0 24 48 0 | 0 0 0 0 0 48 32 | 0 0 0 32 | * * 6
or
o..3o..4o.. o..3o..4o.. & | 24 * ♦ 4 12 0 | 2 24 6 24 0 | 16 12 48 12 | 32 32 | 2 16
.o.3.o.4.o. .o.3.o.4.o. | * 36 ♦ 0 8 8 | 0 32 8 8 8 | 32 16 32 8 | 32 32 | 2 16
------------------------------+-------+------------+-------------------+----------------+---------+------
... ... ... ... x.. ... & | 2 0 | 48 * * | 1 0 0 6 0 | 0 0 12 6 | 12 8 | 1 8
oo.3oo.4oo. oo.3oo.4oo.&#x & | 1 1 | * 288 * | 0 4 1 2 0 | 4 4 8 2 | 12 8 | 1 8
.x. ... ... ... ... ... & | 0 2 | * * 144 | 0 4 1 0 2 | 8 4 4 2 | 12 8 | 1 8
------------------------------+-------+------------+-------------------+----------------+---------+------
... ... ... o..3x.. ... & | 3 0 | 3 0 0 | 16 * * * * ♦ 0 0 0 6 | 12 0 | 0 8
ox. ... ... ... ... ...&#x & | 1 2 | 0 2 1 | * 576 * * * | 2 1 2 0 | 4 4 | 1 4
... ... ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * 144 * * ♦ 0 4 0 2 | 12 0 | 0 8
... ... ... ... xo. ...&#x & | 2 1 | 1 2 0 | * * * 288 * | 0 0 4 1 | 4 4 | 1 4
.x.3.o. ... ... ... ... & | 0 3 | 0 0 3 | * * * * 96 | 4 0 0 1 | 4 4 | 1 4
------------------------------+-------+------------+-------------------+----------------+---------+------
ox.3oo. ... ... ... ...&#x & ♦ 1 3 | 0 3 3 | 0 3 0 0 1 | 384 * * * | 1 2 | 1 2
oxo ... ... oxo ... ...&#xt ♦ 2 4 | 0 8 4 | 0 4 4 0 0 | * 144 * * | 4 0 | 0 4
ox. ... ... ... xo. ...&#x & ♦ 2 2 | 1 4 1 | 0 2 0 2 0 | * * 576 * | 1 2 | 1 2
... ... ... ox.3xo. ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 1 | * * * 96 | 4 0 | 0 4
------------------------------+-------+------------+-------------------+----------------+---------+------
oxo3oox ... oxo ... ...&#xt & ♦ 4 6 | 3 18 9 | 1 12 9 6 2 | 2 3 3 2 | 192 * | 0 2
ox.3oo. ... ... xo. ...&#x & ♦ 2 3 | 1 6 3 | 0 6 0 3 1 | 2 0 3 0 | * 384 | 1 1
------------------------------+-------+------------+-------------------+----------------+---------+------
ox.3oo.4oo. ... xo.4oo.&#zx & ♦ 4 6 | 4 24 12 | 0 48 0 24 8 | 32 0 48 0 | 0 32 | 12 *
oxo3oox ... oxo3xoo ...&#xt ♦ 6 9 | 6 36 18 | 2 36 18 18 6 | 12 9 18 6 | 6 6 | * 64
xoo3oxo3xoo oox3oxo3oox&#zx → all existing heights = 0
(tegum sum of 2 mutually perp coes with octdip)
o..3o..3o.. o..3o..3o.. | 12 * * ♦ 2 2 12 0 0 0 0 0 | 1 1 12 6 12 24 0 0 0 0 0 0 0 0 0 0 | 6 24 6 24 8 8 12 0 0 0 0 0 0 | 8 8 8 8 12 12 4 4 0 0 0 0 | 2 4 4 4 4 0
.o.3.o.3.o. .o.3.o.3.o. | * 36 * ♦ 0 0 4 4 4 4 0 0 | 0 0 2 4 2 16 2 2 2 2 16 2 4 2 0 0 | 2 8 2 8 8 8 16 8 8 8 8 2 2 | 4 4 4 4 8 8 8 8 4 4 4 4 | 1 4 4 4 4 1
..o3..o3..o ..o3..o3..o | * * 12 ♦ 0 0 0 0 0 12 2 2 | 0 0 0 0 0 0 0 0 0 0 24 12 6 12 1 1 | 0 0 0 0 0 0 12 8 8 24 24 6 6 | 0 0 0 0 4 4 12 12 8 8 8 8 | 0 4 4 4 4 2
----------------------------+----------+---------------------------+-----------------------------------------------+---------------------------------------------+-------------------------------------+----------------
x.. ... ... ... ... ... | 2 0 0 | 12 * * * * * * * | 1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 12 0 0 0 0 0 0 0 0 0 0 0 | 4 4 0 0 12 0 0 0 0 0 0 0 | 1 4 4 0 0 0
... ... x.. ... ... ... | 2 0 0 | * 12 * * * * * * | 0 1 0 0 6 0 0 0 0 0 0 0 0 0 0 0 | 0 0 6 12 0 0 0 0 0 0 0 0 0 | 0 0 4 4 0 12 0 0 0 0 0 0 | 1 0 0 4 4 0
oo.3oo.3oo. oo.3oo.3oo.&#x | 1 1 0 | * * 144 * * * * * | 0 0 1 1 1 4 0 0 0 0 0 0 0 0 0 0 | 1 4 1 4 2 2 4 0 0 0 0 0 0 | 2 2 2 2 4 4 2 2 0 0 0 0 | 1 2 2 2 2 0
... .x. ... ... ... ... | 0 2 0 | * * * 72 * * * * | 0 0 0 1 0 0 1 1 0 0 4 0 0 0 0 0 | 1 0 1 0 0 0 4 4 4 2 2 0 0 | 0 0 0 0 4 4 2 2 2 2 0 0 | 0 2 2 2 2 1
... ... ... ... .x. ... | 0 2 0 | * * * * 72 * * * | 0 0 0 0 0 4 0 0 1 1 0 0 1 0 0 0 | 0 2 0 2 4 4 4 0 0 0 0 1 1 | 2 2 2 2 2 2 4 4 0 0 0 0 | 1 2 2 2 2 0
.oo3.oo3.oo .oo3.oo3.oo&#x | 0 1 1 | * * * * * 144 * * | 0 0 0 0 0 0 0 0 0 0 4 1 1 1 0 0 | 0 0 0 0 0 0 4 2 2 4 4 1 1 | 0 0 0 0 2 2 4 4 2 2 2 2 | 0 2 2 2 2 1
... ... ... ..x ... ... | 0 0 2 | * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 0 6 0 0 1 0 | 0 0 0 0 0 0 0 0 0 12 0 6 0 | 0 0 0 0 0 0 12 0 4 0 4 0 | 0 4 0 4 0 1
... ... ... ... ... ..x | 0 0 2 | * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 1 | 0 0 0 0 0 0 0 0 0 0 12 0 6 | 0 0 0 0 0 0 0 12 0 4 0 4 | 0 0 4 0 4 1
----------------------------+----------+---------------------------+-----------------------------------------------+---------------------------------------------+-------------------------------------+----------------
x..3o.. ... ... ... ... | 3 0 0 | 3 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * ♦ 6 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 12 0 0 0 0 0 0 0 | 0 4 4 0 0 0
... o..3x.. ... ... ... | 3 0 0 | 0 3 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * ♦ 0 0 6 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 12 0 0 0 0 0 0 | 0 0 0 4 4 0
xo. ... ... ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 0 | * * 72 * * * * * * * * * * * * * | 1 4 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 4 0 0 0 0 0 0 0 | 1 2 2 0 0 0
... ox. ... ... ... ...&#x | 1 2 0 | 0 0 2 1 0 0 0 0 | * * * 72 * * * * * * * * * * * * ♦ 1 0 1 0 0 0 4 0 0 0 0 0 0 | 0 0 0 0 4 4 2 2 0 0 0 0 | 0 2 2 2 2 0
... ... xo. ... ... ...&#x | 2 1 0 | 0 1 2 0 0 0 0 0 | * * * * 72 * * * * * * * * * * * | 0 0 1 4 0 0 0 0 0 0 0 0 0 | 0 0 2 2 0 4 0 0 0 0 0 0 | 1 0 0 2 2 0
... ... ... ... ox. ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 | * * * * * 288 * * * * * * * * * * | 0 1 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 0
.o.3.x. ... ... ... ... | 0 3 0 | 0 0 0 3 0 0 0 0 | * * * * * * 24 * * * * * * * * * | 1 0 0 0 0 0 0 4 0 0 0 0 0 | 0 0 0 0 4 0 0 0 2 2 0 0 | 0 2 2 0 0 1
... .x.3.o. ... ... ... | 0 3 0 | 0 0 0 3 0 0 0 0 | * * * * * * * 24 * * * * * * * * | 0 0 1 0 0 0 0 0 4 0 0 0 0 | 0 0 0 0 0 4 0 0 0 0 2 2 | 0 0 0 2 2 1
... ... ... .o.3.x. ... | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * 24 * * * * * * * | 0 0 0 0 4 0 0 0 0 0 0 1 0 | 2 0 2 0 0 0 4 0 0 0 0 0 | 1 2 0 2 0 0
... ... ... ... .x.3.o. | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * * 24 * * * * * * | 0 0 0 0 0 4 0 0 0 0 0 0 1 | 0 2 0 2 0 0 0 4 0 0 0 0 | 1 0 2 0 2 0
... .xo ... ... ... ...&#x | 0 2 1 | 0 0 0 1 0 2 0 0 | * * * * * * * * * * 288 * * * * * | 0 0 0 0 0 0 1 1 1 1 1 0 0 | 0 0 0 0 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
... ... ... .ox ... ...&#x | 0 1 2 | 0 0 0 0 0 2 1 0 | * * * * * * * * * * * 72 * * * * | 0 0 0 0 0 0 0 0 0 4 0 1 0 | 0 0 0 0 0 0 4 0 2 0 2 0 | 0 2 0 2 0 1
... ... ... ... .xo ...&#x | 0 2 1 | 0 0 0 0 1 2 0 0 | * * * * * * * * * * * * 72 * * * ♦ 0 0 0 0 0 0 4 0 0 0 0 1 1 | 0 0 0 0 2 2 4 4 0 0 0 0 | 0 2 2 2 2 0
... ... ... ... ... .ox&#x | 0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * * 72 * * | 0 0 0 0 0 0 0 0 0 0 4 0 1 | 0 0 0 0 0 0 0 4 0 2 0 2 | 0 0 2 0 2 1
... ... ... .x.3.o. ... | 0 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * 4 * ♦ 0 0 0 0 0 0 0 0 0 0 0 6 0 | 0 0 0 0 0 0 12 0 0 0 0 0 | 0 4 0 4 0 0
... ... ... ... .o.3.x. | 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * 4 ♦ 0 0 0 0 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 12 0 0 0 0 | 0 0 4 0 4 0
----------------------------+----------+---------------------------+-----------------------------------------------+---------------------------------------------+-------------------------------------+----------------
xo.3ox. ... ... ... ...&#x ♦ 3 3 0 | 3 0 6 3 0 0 0 0 | 1 0 3 3 0 0 1 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * | 0 0 0 0 4 0 0 0 0 0 0 0 | 0 2 2 0 0 0
xo. ... ... ... ox. ...&#x ♦ 2 2 0 | 1 0 4 0 1 0 0 0 | 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | * 144 * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... ox.3xo. ... ... ...&#x ♦ 3 3 0 | 0 3 6 3 0 0 0 0 | 0 1 0 3 3 0 0 1 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * | 0 0 0 0 0 4 0 0 0 0 0 0 | 0 0 0 2 2 0
... ... xo. ... ox. ...&#x ♦ 2 2 0 | 0 1 4 0 1 0 0 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | * * * 144 * * * * * * * * * | 0 0 1 1 0 1 0 0 0 0 0 0 | 1 0 0 1 1 0
... ... ... oo.3ox. ...&#x ♦ 1 3 0 | 0 0 3 0 3 0 0 0 | 0 0 0 0 0 3 0 0 1 0 0 0 0 0 0 0 | * * * * 96 * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 1 0 0
... ... ... ... ox.3oo.&#x ♦ 1 3 0 | 0 0 3 0 3 0 0 0 | 0 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0 | * * * * * 96 * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 | 1 0 1 0 1 0
... oxo ... ... oxo ...&#xt ♦ 1 4 1 | 0 0 4 2 2 4 0 0 | 0 0 0 2 0 2 0 0 0 0 2 0 2 0 0 0 | * * * * * * 144 * * * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.oo3.xo ... ... ... ...&#x ♦ 0 3 1 | 0 0 0 3 0 3 0 0 | 0 0 0 0 0 0 1 0 0 0 3 0 0 0 0 0 | * * * * * * * 96 * * * * * | 0 0 0 0 1 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xo3.oo ... ... ...&#x ♦ 0 3 1 | 0 0 0 3 0 3 0 0 | 0 0 0 0 0 0 0 1 0 0 3 0 0 0 0 0 | * * * * * * * * 96 * * * * | 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 1 1 1
... .xo ... .ox ... ...&#x ♦ 0 2 2 | 0 0 0 1 0 4 1 0 | 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * 144 * * * | 0 0 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 0 1
... .xo ... ... ... .ox&#x ♦ 0 2 2 | 0 0 0 1 0 4 0 1 | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 | * * * * * * * * * * 144 * * | 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 1 0 1 1
... ... ... .ox3.xo ...&#x ♦ 0 3 3 | 0 0 0 0 3 6 3 0 | 0 0 0 0 0 0 0 0 1 0 0 3 3 0 1 0 | * * * * * * * * * * * 24 * | 0 0 0 0 0 0 4 0 0 0 0 0 | 0 2 0 2 0 0
... ... ... ... .xo3.ox&#x ♦ 0 3 3 | 0 0 0 0 3 6 0 3 | 0 0 0 0 0 0 0 0 0 1 0 0 3 3 0 1 | * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 4 0 0 0 0 | 0 0 2 0 2 0
----------------------------+----------+---------------------------+-----------------------------------------------+---------------------------------------------+-------------------------------------+----------------
xo. ... ... oo.3ox. ...&#x ♦ 2 3 0 | 1 0 6 0 3 0 0 0 | 0 0 3 0 0 6 0 0 1 0 0 0 0 0 0 0 | 0 3 0 0 2 0 0 0 0 0 0 0 0 | 48 * * * * * * * * * * * | 1 1 0 0 0 0
xo. ... ... ... ox.3oo.&#x ♦ 2 3 0 | 1 0 6 0 3 0 0 0 | 0 0 3 0 0 6 0 0 0 1 0 0 0 0 0 0 | 0 3 0 0 0 2 0 0 0 0 0 0 0 | * 48 * * * * * * * * * * | 1 0 1 0 0 0
... ... xo. oo.3ox. ...&#x ♦ 2 3 0 | 0 1 6 0 3 0 0 0 | 0 0 0 0 3 6 0 0 1 0 0 0 0 0 0 0 | 0 0 0 3 2 0 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * | 1 0 0 1 0 0
... ... xo. ... ox.3oo.&#x ♦ 2 3 0 | 0 1 6 0 3 0 0 0 | 0 0 0 0 3 6 0 0 0 1 0 0 0 0 0 0 | 0 0 0 3 0 2 0 0 0 0 0 0 0 | * * * 48 * * * * * * * * | 1 0 0 0 1 0
xoo3oxo ... ... oxo ...&#xt ♦ 3 6 1 | 3 0 12 6 3 6 0 0 | 1 0 6 6 0 6 2 0 0 0 6 0 3 0 0 0 | 2 3 0 0 0 0 3 2 0 0 0 0 0 | * * * * 48 * * * * * * * | 0 1 1 0 0 0
... oxo3xoo ... oxo ...&#xt ♦ 3 6 1 | 0 3 12 6 3 6 0 0 | 0 1 0 6 6 6 0 2 0 0 6 0 3 0 0 0 | 0 0 2 3 0 0 3 0 2 0 0 0 0 | * * * * * 48 * * * * * * | 0 0 0 1 1 0
... oxo ... oox3oxo ...&#xt ♦ 1 6 3 | 0 0 6 3 6 12 3 0 | 0 0 0 3 0 6 0 0 2 0 6 6 6 0 1 0 | 0 0 0 0 2 0 3 0 0 3 0 2 0 | * * * * * * 48 * * * * * | 0 1 0 1 0 0
... oxo ... ... oxo3oox&#xt ♦ 1 6 3 | 0 0 6 3 6 12 0 3 | 0 0 0 3 0 6 0 0 0 2 6 0 6 6 0 1 | 0 0 0 0 0 2 3 0 0 0 3 0 2 | * * * * * * * 48 * * * * | 0 0 1 0 1 0
.oo3.xo ... .ox ... ...&#x ♦ 0 3 2 | 0 0 0 3 0 6 1 0 | 0 0 0 0 0 0 1 0 0 0 6 3 0 0 0 0 | 0 0 0 0 0 0 0 2 0 3 0 0 0 | * * * * * * * * 48 * * * | 0 1 0 0 0 1
.oo3.xo ... ... ... .ox&#x ♦ 0 3 2 | 0 0 0 3 0 6 0 1 | 0 0 0 0 0 0 1 0 0 0 6 0 0 3 0 0 | 0 0 0 0 0 0 0 2 0 0 3 0 0 | * * * * * * * * * 48 * * | 0 0 1 0 0 1
... .xo3.oo .ox ... ...&#x ♦ 0 3 2 | 0 0 0 0 3 6 1 0 | 0 0 0 0 0 0 0 1 0 0 6 3 0 0 0 0 | 0 0 0 0 0 0 0 0 2 3 0 0 0 | * * * * * * * * * * 48 * | 0 0 0 1 0 1
... .xo3.oo ... ... .ox&#x ♦ 0 3 2 | 0 0 0 0 3 6 0 1 | 0 0 0 0 0 0 0 1 0 0 6 0 0 3 0 0 | 0 0 0 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * * 48 | 0 0 0 0 1 1
----------------------------+----------+---------------------------+-----------------------------------------------+---------------------------------------------+-------------------------------------+----------------
xo. ... xo. oo.3ox.3oo.&#zx ♦ 4 6 0 | 2 2 24 0 12 0 0 0 | 0 0 12 0 12 48 0 0 4 4 0 0 0 0 0 0 | 0 24 0 24 16 16 0 0 0 0 0 0 0 | 8 8 8 8 0 0 0 0 0 0 0 0 | 6 * * * * *
xoo3oxo ... oox3oxo ...&#xt ♦ 3 9 3 | 3 0 18 9 9 18 3 0 | 1 0 9 9 0 18 3 0 3 0 18 9 9 0 1 0 | 3 9 0 0 6 0 9 6 0 9 0 3 0 | 3 0 0 0 3 0 3 0 3 0 0 0 | * 16 * * * *
xoo3oxo ... ... oxo3oox&#xt ♦ 3 9 3 | 3 0 18 9 9 18 0 3 | 1 0 9 9 0 18 3 0 0 3 18 0 9 9 0 1 | 3 9 0 0 0 6 9 6 0 0 9 0 3 | 0 3 0 0 3 0 0 3 0 3 0 0 | * * 16 * * *
... oxo3xoo oox3oxo ...&#xt ♦ 3 9 3 | 0 3 18 9 9 18 3 0 | 0 1 0 9 9 18 0 3 3 0 18 9 9 0 1 0 | 0 0 3 9 6 0 9 0 6 9 0 3 0 | 0 0 3 0 0 3 3 0 0 0 3 0 | * * * 16 * *
... oxo3xoo ... oxo3oox&#xt ♦ 3 9 3 | 0 3 18 9 9 18 0 3 | 0 1 0 9 9 18 0 3 0 3 18 0 9 9 0 1 | 0 0 3 9 0 6 9 0 6 0 9 0 3 | 0 0 0 3 0 3 0 3 0 0 0 3 | * * * * 16 *
.oo3.xo3.oo .ox ... .ox&#zx ♦ 0 6 4 | 0 0 0 12 0 24 2 2 | 0 0 0 0 0 0 4 4 0 0 48 12 0 12 0 0 | 0 0 0 0 0 0 0 16 16 24 24 0 0 | 0 0 0 0 0 0 0 0 8 8 8 8 | * * * * * 6
or
o..3o..3o.. o..3o..3o.. & | 24 * ♦ 2 2 12 0 | 1 1 12 6 12 24 0 0 | 6 24 6 24 8 8 12 | 8 8 8 8 16 16 | 2 8 4 4
.o.3.o.3.o. .o.3.o.3.o. | * 36 ♦ 0 0 8 8 | 0 0 4 8 4 32 4 4 | 4 16 4 16 16 16 16 | 8 8 8 8 16 16 | 2 8 4 4
------------------------------+-------+---------------+---------------------------+---------------------------+-------------------+------------
x.. ... ... ... ... ... & | 2 0 | 24 * * * | 1 0 6 0 0 0 0 0 | 6 12 0 0 0 0 0 | 4 4 0 0 12 0 | 1 4 4 0
... ... x.. ... ... ... & | 2 0 | * 24 * * | 0 1 0 0 6 0 0 0 | 0 0 6 12 0 0 0 | 0 0 4 4 0 12 | 1 4 0 4
oo.3oo.3oo. oo.3oo.3oo.&#x & | 1 1 | * * 288 * | 0 0 1 1 1 4 0 0 | 1 4 1 4 2 2 4 | 2 2 2 2 6 6 | 1 4 2 2
... .x. ... ... ... ... & | 0 2 | * * * 144 | 0 0 0 1 0 4 1 1 | 1 2 1 2 4 4 4 | 2 2 2 2 6 6 | 1 4 2 2
------------------------------+-------+---------------+---------------------------+---------------------------+-------------------+------------
x..3o.. ... ... ... ... & | 3 0 | 3 0 0 0 | 8 * * * * * * * ♦ 6 0 0 0 0 0 0 | 0 0 0 0 12 0 | 0 4 4 0
... o..3x.. ... ... ... & | 3 0 | 0 3 0 0 | * 8 * * * * * * ♦ 0 0 6 0 0 0 0 | 0 0 0 0 0 12 | 0 4 0 4
xo. ... ... ... ... ...&#x & | 2 1 | 1 0 2 0 | * * 144 * * * * * | 1 4 0 0 0 0 0 | 2 2 0 0 4 0 | 1 2 2 0
... ox. ... ... ... ...&#x & | 1 2 | 0 0 2 1 | * * * 144 * * * * ♦ 1 0 1 0 0 0 4 | 0 0 0 0 6 6 | 0 4 2 2
... ... xo. ... ... ...&#x & | 2 1 | 0 1 2 0 | * * * * 144 * * * | 0 0 1 4 0 0 0 | 0 0 2 2 0 4 | 1 2 0 2
... ... ... ... ox. ...&#x & | 1 2 | 0 0 2 1 | * * * * * 576 * * | 0 1 0 1 1 1 1 | 1 1 1 1 2 2 | 1 2 1 1
.o.3.x. ... ... ... ... & | 0 3 | 0 0 0 3 | * * * * * * 48 * | 1 0 0 0 0 4 0 | 0 2 0 2 4 0 | 1 2 2 0
... .x.3.o. ... ... ... & | 0 3 | 0 0 0 3 | * * * * * * * 48 | 0 0 1 0 4 0 0 | 2 0 2 0 0 4 | 1 2 0 2
------------------------------+-------+---------------+---------------------------+---------------------------+-------------------+------------
xo.3ox. ... ... ... ...&#x & ♦ 3 3 | 3 0 6 3 | 1 0 3 3 0 0 1 0 | 48 * * * * * * | 0 0 0 0 4 0 | 0 2 2 0
xo. ... ... ... ox. ...&#x & ♦ 2 2 | 1 0 4 1 | 0 0 2 0 0 2 0 0 | * 288 * * * * * | 1 1 0 0 1 0 | 1 1 1 0
... ox.3xo. ... ... ...&#x & ♦ 3 3 | 0 3 6 3 | 0 1 0 3 3 0 0 1 | * * 48 * * * * | 0 0 0 0 0 4 | 0 2 0 2
... ... xo. ... ox. ...&#x & ♦ 2 2 | 0 1 4 1 | 0 0 0 0 2 2 0 0 | * * * 288 * * * | 0 0 1 1 0 1 | 1 1 0 1
... ... ... oo.3ox. ...&#x & ♦ 1 3 | 0 0 3 3 | 0 0 0 0 0 3 0 1 | * * * * 192 * * | 1 0 1 0 0 1 | 1 1 0 1
... ... ... ... ox.3oo.&#x & ♦ 1 3 | 0 0 3 3 | 0 0 0 0 0 3 1 0 | * * * * * 192 * | 0 1 0 1 1 0 | 1 1 1 0
... oxo ... ... oxo ...&#xt ♦ 2 4 | 0 0 8 4 | 0 0 0 4 0 4 0 0 | * * * * * * 144 | 0 0 0 0 2 2 | 0 2 1 1
------------------------------+-------+---------------+---------------------------+---------------------------+-------------------+------------
xo. ... ... oo.3ox. ...&#x & | 2 3 | 1 0 6 3 | 0 0 3 0 0 6 0 1 | 0 3 0 0 2 0 0 | 96 * * * * * | 1 1 0 0
xo. ... ... ... ox.3oo.&#x & | 2 3 | 1 0 6 3 | 0 0 3 0 0 6 1 0 | 0 3 0 0 0 2 0 | * 96 * * * * | 1 0 1 0
... ... xo. oo.3ox. ...&#x & | 2 3 | 0 1 6 3 | 0 0 0 0 3 6 0 1 | 0 0 0 3 2 0 0 | * * 96 * * * | 1 0 0 1
... ... xo. ... ox.3oo.&#x & | 2 3 | 0 1 6 3 | 0 0 0 0 3 6 1 0 | 0 0 0 3 0 2 0 | * * * 96 * * | 1 1 0 0
xoo3oxo ... ... oxo ...&#xt & ♦ 4 6 | 3 0 18 9 | 1 0 6 9 0 12 2 0 | 2 3 0 0 0 2 3 | * * * * 96 * | 0 1 1 0
... oxo3xoo ... oxo ...&#xt & ♦ 4 6 | 0 3 18 9 | 0 1 0 9 6 12 0 2 | 0 0 2 3 2 0 3 | * * * * * 96 | 0 1 0 1
------------------------------+-------+---------------+---------------------------+---------------------------+-------------------+------------
xo. ... xo. oo.3ox.3oo.&#zx & ♦ 4 6 | 2 2 24 12 | 0 0 12 0 12 48 4 4 | 0 24 0 24 16 16 0 | 8 8 8 8 0 0 | 12 * * *
xoo3oxo ... oox3oxo ...&#xt & ♦ 6 9 | 3 3 36 18 | 1 1 9 18 9 36 3 3 | 3 9 3 9 6 6 9 | 3 0 0 3 3 3 | * 32 * *
xoo3oxo ... ... oxo3oox&#xt ♦ 6 9 | 6 0 36 18 | 2 0 18 18 0 36 6 0 | 6 18 0 0 0 12 9 | 0 6 0 0 6 0 | * * 16 *
... oxo3xoo oox3oxo ...&#xt ♦ 6 9 | 0 6 36 18 | 0 2 0 18 18 36 0 6 | 0 0 6 18 12 0 9 | 0 0 6 0 0 6 | * * * 16