|
Acronym
|
hax
|
|
Name
|
hemihexeract,
vertex figure of laq,
Gosset polytope 13,1,
equatorial cross-section of gee-first naq
|
|
Circumradius
|
sqrt(3)/2 = 0.866025
|
Inradius
wrt. hix
|
1/sqrt(3) = 0.577350
|
Inradius
wrt. hin
|
1/sqrt(8) = 0.353553
|
Lace city
in approx. ASCII-art
|
+----- o3o3o3o3o (point)
/ +---- o3x3o3o3o (rix)
/ / +--- o3o3o3x3o (inv. rix)
/ / / +-- o3o3o3o3o (point)
/ / / /
o R p -- x3o3o *b3o3o (hin)
P r o -- o3o3x *b3o3o (alt. hin)
\ \ \
\ \ +-- x3o3o3o3o (hix)
\ +--- o3o3x3o3o (dot)
+---- o3o3o3o3x (dual hix)
where:
o = o3o3o3o (point)
P = x3o3o3o (pen)
R = o3x3o3o (rap)
r = o3o3x3o (inv. rap)
p = o3o3o3x (dual pen)
|
 ©
|
_+------ o x3o3o *c3o (hex)
_/ _+---- x o3o3x *c3o (alt. hexip)
_/ _/ _+-- o x3o3o *c3o (hex)
/ / /
h H -- x3o3o *b3o3o (hin)
H h -- o3o3x *b3o3o (alt. hin)
where:
h = x3o3o *b3o (hex)
H = o3o3x *b3o (alt. hex)
|
|
 ©
|
c0 b0
a-
b+ c+
a0 d0 a0
c- b-
a+
b0 c0
where:
a = x o o (line)
b = o x o (ortho line)
c = o o x (ortho-ortho line)
d = x x x (cube)
+ = at top layer
0 = at equatorial layer
- = at bottom layer
|
|
Lace hyper city
in approx. ASCII-art
|
o x o o o x
x o o
o o x o x o
x o o x x x x o o
o x o o o x
x o o
o o x o x o
i.e. diverse tets at the vertex positions of an orthogonal co plus a central cube
thus co-triangle first: x3o3o3o3o (hix) || pseudo o3o3x3o3o (dot) || o3o3o3o3x (dual hix)
thus co-square first: o x3o3o *c3o (hex) || pseudo x o3o3x *c3o (alt. hexip) || o x3o3o *c3o (hex)
thus co-vertex first: x o o o (line) || pseudo oo xx xo ox&#x (ortho tepe) || pseudo xxx ooo oxo oxo&#xt (lacing-para ope) || pseudo oo xx ox xo&#x (alt. ortho tepe) || x o o o (para line)
|
_t-------_T
_- | _- |
T----+---t |
| | | |
| _T---+---_t
|_- |_-
t--------T
where:
t = x3o3o (tet)
T = o3o3x (dual tet)
|
|
Coordinates
|
-
(1, 1, 1, 1, 1, 1)/sqrt(8) & all permutations, all even changes of sign
-
-
(1, 1, 1, 0, 0, 0)/2 & all sign changes
-
(1, 0, 0, 1, 1, 0)/2 & all sign changes
-
(0, 1, 0, 1, 0, 1)/2 & all sign changes
-
(0, 0, 1, 0, 1, 1)/2 & all sign changes
|
|
Volume
|
43/360 = 0.119444
|
|
Surface
|
[39 sqrt(2)+2 sqrt(3)]/30 = 1.953948
|
Dihedral angles
(at margins)
|
- at pen between hin and hix: arccos[-1/sqrt(6)] = 114.094843°
- at hex between hin and hin: 90°
|
|
Face vector
|
32, 240, 640, 640, 252, 44
|
|
Confer
|
- uniform relative:
-
tetdip
- related scaliform:
-
odhax
tratetdafup
- related segmentopeta:
-
rixpy
hixadot
hixacube
rixa
hexaf
- ambification:
-
brox
- general polytopal classes:
-
Wythoffian polypeta
segmentopeta
lace simplices
fundamental lace prisms
Coxeter-Elte-Gosset polytopes
- analogs:
-
demihypercube Dn
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External
links
|
|
There are 2 different scaliform octadiminishings of this polyexon,
either omitting the central cube of the first lace hyper city, then yielding odhax,
or omitting the extremal tets of the second lace hyper city, then yielding tratetdafup.
Incidence matrix according to Dynkin symbol
x3o3o *b3o3o3o
. . . . . . | 32 ♦ 15 | 60 | 20 60 | 15 30 | 6 6
---------------+----+-----+-----+---------+--------+------
x . . . . . | 2 | 240 ♦ 8 | 4 12 | 6 8 | 4 2
---------------+----+-----+-----+---------+--------+------
x3o . . . . | 3 | 3 | 640 | 1 3 | 3 3 | 3 1
---------------+----+-----+-----+---------+--------+------
x3o3o . . . ♦ 4 | 6 | 4 | 160 * | 3 0 | 3 0
x3o . *b3o . . ♦ 4 | 6 | 4 | * 480 | 1 2 | 2 1
---------------+----+-----+-----+---------+--------+------
x3o3o *b3o . . ♦ 8 | 24 | 32 | 8 8 | 60 * | 2 0
x3o . *b3o3o . ♦ 5 | 10 | 10 | 0 5 | * 192 | 1 1
---------------+----+-----+-----+---------+--------+------
x3o3o *b3o3o . ♦ 16 | 80 | 160 | 40 80 | 10 16 | 12 *
x3o . *b3o3o3o ♦ 6 | 15 | 20 | 0 15 | 0 6 | * 32
o3o3o3o3o4s
demi( . . . . . . ) | 32 ♦ 15 | 60 | 20 60 | 15 30 | 6 6
--------------------+----+-----+-----+---------+--------+------
. . . . o4s | 2 | 240 ♦ 8 | 4 12 | 6 8 | 4 2
--------------------+----+-----+-----+---------+--------+------
sefa( . . . o3o4s ) | 3 | 3 | 640 | 1 3 | 3 3 | 3 1
--------------------+----+-----+-----+---------+--------+------
. . . o3o4s ♦ 4 | 6 | 4 | 160 * | 3 0 | 3 0
sefa( . . o3o3o4s ) ♦ 4 | 6 | 4 | * 480 | 1 2 | 2 1
--------------------+----+-----+-----+---------+--------+------
. . o3o3o4s ♦ 8 | 24 | 32 | 8 8 | 60 * | 2 0
sefa( . o3o3o3o4s ) ♦ 5 | 10 | 10 | 0 5 | * 192 | 1 1
--------------------+----+-----+-----+---------+--------+------
. o3o3o3o4s ♦ 16 | 80 | 160 | 40 80 | 10 16 | 12 *
sefa( o3o3o3o3o4s ) ♦ 6 | 15 | 20 | 0 15 | 0 6 | * 32
starting figure: o3o3o3o3o4x
xo3oo3ox *b3oo3oo&#x → height = 1/sqrt(2) = 0.707107
(hin || alternate hin)
o.3o.3o. *b3o.3o. | 16 * ♦ 10 5 0 | 30 20 10 0 | 10 20 30 10 10 0 0 | 5 5 10 20 5 0 0 | 1 5 5 1 0
.o3.o3.o *b3.o3.o | * 16 ♦ 0 5 10 | 0 10 20 30 | 0 0 10 10 30 10 20 | 0 0 10 5 20 5 5 | 0 5 1 5 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x. .. .. .. .. | 2 0 | 80 * * ♦ 6 2 0 0 | 3 6 6 1 0 0 0 | 3 2 3 6 0 0 0 | 1 3 2 0 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * 80 * ♦ 0 4 4 0 | 0 0 6 4 6 0 0 | 0 0 6 4 4 0 0 | 0 4 1 1 0
.. .. .x .. .. | 0 2 | * * 80 ♦ 0 0 2 6 | 0 0 0 1 6 3 6 | 0 0 3 0 6 3 2 | 0 3 0 2 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o. .. .. .. | 3 0 | 3 0 0 | 160 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 0
xo .. .. .. ..&#x | 2 1 | 1 2 0 | * 160 * * | 0 0 3 1 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0 0
.. .. ox .. ..&#x | 1 2 | 0 2 1 | * * 160 * | 0 0 0 1 3 0 0 | 0 0 3 0 3 0 0 | 0 3 0 1 0
.. .o3.x .. .. | 0 3 | 0 0 3 | * * * 160 | 0 0 0 0 1 1 2 | 0 0 1 0 2 2 1 | 0 2 0 1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | 40 * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0 0
x.3o. .. *b3o. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | * 80 * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 0
xo3oo .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | * * 160 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0 0
xo .. ox .. ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * * 80 * * * | 0 0 3 0 0 0 0 | 0 3 0 0 0
.. oo3ox .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * * 160 * * | 0 0 1 0 2 0 0 | 0 2 0 1 0
.o3.o3.x .. .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * * 40 * | 0 0 1 0 0 2 0 | 0 2 0 0 1
.. .o3.x *b3.o .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * * * 80 | 0 0 0 0 1 1 1 | 0 1 0 1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o. *b3o. .. ♦ 8 0 | 24 0 0 | 32 0 0 0 | 8 8 0 0 0 0 0 | 10 * * * * * * | 1 1 0 0 0
x.3o. .. *b3o.3o. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 0 5 0 0 0 0 0 | * 16 * * * * * | 1 0 1 0 0
xo3oo3ox .. ..&#x ♦ 4 4 | 6 12 6 | 4 12 12 4 | 1 0 4 6 4 1 0 | * * 40 * * * * | 0 2 0 0 0
xo3oo .. *b3oo ..&#x ♦ 4 1 | 6 4 0 | 4 6 0 0 | 0 1 4 0 0 0 0 | * * * 80 * * * | 0 1 1 0 0
.. oo3ox *b3oo ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 0 4 0 1 | * * * * 80 * * | 0 1 0 1 0
.o3.o3.x *b3.o .. ♦ 0 8 | 0 0 24 | 0 0 0 32 | 0 0 0 0 0 8 8 | * * * * * 10 * | 0 1 0 0 1
.. .o3.x *b3.o3.o ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * 16 | 0 0 0 1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o. *b3o.3o. ♦ 16 0 | 80 0 0 | 160 0 0 0 | 40 80 0 0 0 0 0 | 10 16 0 0 0 0 0 | 1 * * * *
xo3oo3oo *b3oo ..&#x ♦ 8 8 | 24 32 24 | 32 48 48 32 | 8 8 32 24 32 8 8 | 1 0 8 8 8 1 0 | * 10 * * *
xo3oo .. *b3oo3oo&#x ♦ 5 1 | 10 5 0 | 10 10 0 0 | 0 5 10 0 0 0 0 | 0 1 0 5 0 0 0 | * * 16 * *
.. oo3ox *b3oo3oo&#x ♦ 1 5 | 0 5 10 | 0 0 10 10 | 0 0 0 0 10 0 5 | 0 0 0 0 5 0 1 | * * * 16 *
.o3.o3.x *b3.o3.o ♦ 0 16 | 0 0 80 | 0 0 0 160 | 0 0 0 0 0 40 80 | 0 0 0 0 0 10 16 | * * * * 1
or
o.3o.3o. *b3o.3o. & | 32 ♦ 10 5 | 30 30 | 10 20 40 10 | 5 5 10 25 | 1 5 6
-----------------------+----+--------+---------+---------------+--------------+--------
x. .. .. .. .. & | 2 | 160 * ♦ 6 2 | 3 6 6 1 | 3 2 3 6 | 1 3 2
oo3oo3oo *b3oo3oo&#x | 2 | * 80 ♦ 0 8 | 0 0 12 4 | 0 0 6 8 | 0 4 2
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o. .. .. .. & | 3 | 3 0 | 320 * | 1 2 1 0 | 2 1 1 2 | 1 2 1
xo .. .. .. ..&#x & | 3 | 1 2 | * 320 | 0 0 3 1 | 0 0 3 3 | 0 3 1
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o. .. .. & ♦ 4 | 6 0 | 4 0 | 80 * * * | 2 0 1 0 | 1 2 0
x.3o. .. *b3o. .. & ♦ 4 | 6 0 | 4 0 | * 160 * * | 1 1 0 1 | 1 1 1
xo3oo .. .. ..&#x & ♦ 4 | 3 3 | 1 3 | * * 320 * | 0 0 1 2 | 0 2 1
xo .. ox .. ..&#x ♦ 4 | 2 4 | 0 4 | * * * 80 | 0 0 3 0 | 0 3 0
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o. *b3o. .. & ♦ 8 | 24 0 | 32 0 | 8 8 0 0 | 20 * * * | 1 1 0
x.3o. .. *b3o.3o. & ♦ 5 | 10 0 | 10 0 | 0 5 0 0 | * 32 * * | 1 0 1
xo3oo3ox .. ..&#x ♦ 8 | 12 12 | 8 24 | 2 0 8 6 | * * 40 * | 0 2 0
xo3oo .. *b3oo ..&#x & ♦ 5 | 6 4 | 4 6 | 0 1 4 0 | * * * 160 | 0 1 1
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o. *b3o.3o. & ♦ 16 | 80 0 | 160 0 | 40 80 0 0 | 10 16 0 0 | 2 * *
xo3oo3oo *b3oo ..&#x ♦ 16 | 48 32 | 64 96 | 16 16 64 24 | 2 0 8 16 | * 10 *
xo3oo .. *b3oo3oo&#x & ♦ 6 | 10 5 | 10 10 | 0 5 10 0 | 0 1 0 5 | * * 32
xoo3ooo3oxo3ooo3oox&#xt → both heights = 1/sqrt(3) = 0.577350
(hix || pseudo dot || inv hix)
o..3o..3o..3o..3o.. & | 12 * ♦ 5 10 0 | 10 20 30 0 | 10 10 30 10 20 0 | 5 10 20 5 5 | 1 5 6
.o.3.o.3.o.3.o.3.o. | * 20 ♦ 0 6 9 | 0 6 36 18 | 0 2 18 18 36 6 | 0 6 18 12 9 | 0 6 6
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x.. ... ... ... ... & | 2 0 | 30 * * ♦ 4 4 0 0 | 6 4 6 0 0 0 | 4 6 4 0 0 | 1 1 4
oo.3oo.3oo.3oo.3oo.&#x & | 1 1 | * 120 * ♦ 0 2 6 0 | 0 1 6 3 6 0 | 0 3 6 2 3 | 0 2 4
... ... .x. ... ... | 0 2 | * * 90 ♦ 0 0 4 4 | 0 0 2 4 8 2 | 0 2 4 4 4 | 0 2 4
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o.. ... ... ... & | 3 0 | 3 0 0 | 40 * * * | 3 1 0 0 0 0 | 3 3 0 0 0 | 1 0 3
xo. ... ... ... ...&#x & | 2 1 | 1 2 0 | * 120 * * | 0 1 3 0 0 0 | 0 3 3 0 0 | 0 1 3
... ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * 360 * | 0 0 1 1 2 0 | 0 1 2 1 2 | 0 1 3
... .o.3.x. ... ... & | 0 3 | 0 0 3 | * * * 120 | 0 0 0 1 2 1 | 0 1 1 2 2 | 0 1 3
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o.. ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 | 30 * * * * * | 2 1 0 0 0 | 1 0 2
xo.3oo. ... ... ...&#x & ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 40 * * * * | 0 3 0 0 0 | 0 0 3
xo. ... ox. ... ...&#x & ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 180 * * * | 0 1 2 0 0 | 0 1 2
... oo.3ox. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 120 * * | 0 1 0 0 2 | 0 0 3
... ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * * 240 * | 0 0 1 1 1 | 0 1 2
.o.3.o.3.x. ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * * 30 | 0 1 0 2 0 | 0 1 2
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o..3o.. ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 0 | 12 * * * * | 1 0 1
xo.3oo.3ox. ... ...&#x & ♦ 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 0 1 | * 30 * * * | 0 0 2
xo. ... ox.3oo. ...&#x & ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 0 2 0 | * * 120 * * | 0 1 1
... ... ox.3oo.3oo.&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 0 4 1 | * * * 60 * | 0 1 1
... ooo3oxo3ooo ...&#xt ♦ 2 6 | 0 12 12 | 0 0 24 8 | 0 0 0 8 8 0 | * * * * 30 | 0 0 2
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o..3o..3o.. & ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 0 | 6 0 0 0 0 | 2 * *
xo. ... ox.3oo.3oo.&#x & ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 0 6 0 8 1 | 0 0 4 2 0 | * 30 *
xoo3ooo3oxo3ooo ...&#xt & ♦ 6 10 | 10 40 30 | 10 30 90 30 | 5 10 30 30 40 5 | 1 5 10 5 5 | * * 12
oooo3oxoo3oooo3ooxo3oooo&#xt → all heights = 1/sqrt(3) = 0.577350
(pt || pseudo rix || inv pseudo rix || pt)
o...3o...3o...3o...3o... & | 2 * ♦ 15 0 0 | 60 0 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 | 6 6 0
.o..3.o..3.o..3.o..3.o.. & | * 30 ♦ 1 8 6 | 8 4 12 36 | 4 12 8 16 16 24 | 7 8 2 20 8 | 6 2 4
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
oo..3oo..3oo..3oo..3oo..&#x & | 1 1 | 30 * * ♦ 8 0 0 0 | 4 12 0 0 0 0 | 6 8 0 0 0 | 4 2 0
.... .x.. .... .... .... & | 0 2 | * 120 * ♦ 1 1 3 3 | 1 3 3 3 3 3 | 3 3 1 4 3 | 4 1 1
.oo.3.oo.3.oo.3.oo.3.oo.&#x | 0 2 | * * 90 ♦ 0 0 0 8 | 0 0 0 4 4 8 | 2 0 0 8 4 | 4 0 2
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
.... ox.. .... .... ....&#x & | 1 2 | 2 1 0 | 120 * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0
.o..3.x.. .... .... .... & | 0 3 | 0 3 0 | * 40 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1
.... .x..3.o.. .... .... & | 0 3 | 0 3 0 | * * 120 * | 0 1 2 0 1 0 | 1 2 1 0 2 | 3 1 0
.... .xo. .... .... ....&#x & | 0 3 | 0 1 2 | * * * 360 | 0 0 0 1 1 2 | 1 0 0 3 2 | 3 0 1
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
oo..3ox.. .... .... ....&#x & ♦ 1 3 | 3 3 0 | 3 1 0 0 | 40 * * * * * | 3 0 0 0 0 | 3 0 0
.... ox..3oo.. .... ....&#x & ♦ 1 3 | 3 3 0 | 3 0 1 0 | * 120 * * * * | 1 2 0 0 0 | 2 1 0
.... .x..3.o..3.o.. .... & ♦ 0 4 | 0 6 0 | 0 0 4 0 | * * 60 * * * | 0 1 1 0 1 | 2 1 0
.oo.3.xo. .... .... ....&#x & ♦ 0 4 | 0 3 3 | 0 1 0 3 | * * * 120 * * | 1 0 0 2 0 | 2 0 1
.... .xo.3.oo. .... ....&#x & ♦ 0 4 | 0 3 3 | 0 0 1 3 | * * * * 120 * | 1 0 0 0 2 | 3 0 0
.... .xo. .... .ox. ....&#x ♦ 0 4 | 0 2 4 | 0 0 0 4 | * * * * * 180 | 0 0 0 2 1 | 2 0 1
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
ooo.3oxo.3ooo. .... ....&#xt & ♦ 1 7 | 6 12 6 | 12 4 4 12 | 4 4 0 4 4 0 | 30 * * * * | 2 0 0
.... ox..3oo..3oo.. ....&#x & ♦ 1 4 | 4 6 0 | 6 0 4 0 | 0 4 1 0 0 0 | * 60 * * * | 1 1 0
.... .x..3.o..3.o..3.o.. & ♦ 0 5 | 0 10 0 | 0 0 10 0 | 0 0 5 0 0 0 | * * 12 * * | 1 1 0
.oo.3.xo. .... .ox. ....&#x & ♦ 0 5 | 0 4 6 | 0 1 0 9 | 0 0 0 2 0 3 | * * * 120 * | 1 0 1
.... .xo.3.oo.3.ox. ....&#x ♦ 0 8 | 0 12 12 | 0 0 8 24 | 0 0 2 0 8 6 | * * * * 30 | 2 0 0
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
ooo.3oxo.3ooo.3oox. ....&#xt & ♦ 1 15 | 10 40 30 | 30 10 30 90 | 10 20 10 20 30 30 | 5 5 1 10 5 | 12 * *
.... ox..3oo..3oo..3oo..&#x & ♦ 1 5 | 5 10 0 | 10 0 10 0 | 0 10 5 0 0 0 | 0 5 1 0 0 | * 12 *
.oo.3.xo. .... .ox.3.oo.&#x ♦ 0 6 | 0 6 9 | 0 2 0 18 | 0 0 0 6 0 9 | 0 0 0 6 0 | * * 20
oxo xox3ooo3ooo *c3oxo&#xt → both heights = 1/2
(hex || pseudo gyro hexip || (para) hex)
o.. o..3o..3o.. *c3o.. | 8 * * ♦ 6 8 1 0 0 0 0 | 12 4 24 12 8 0 0 0 0 0 | 4 4 12 24 12 8 4 12 0 0 0 0 0 0 0 0 | 1 12 8 8 2 6 8 0 0 0 0 0 0 | 4 2 4 2 0 0
.o. .o.3.o.3.o. *c3.o. | * 16 * ♦ 0 4 0 1 6 4 0 | 0 4 6 12 4 12 4 6 12 0 | 0 0 6 4 6 12 4 12 4 4 6 4 6 12 0 0 | 0 4 1 4 4 6 12 1 4 1 4 4 0 | 1 1 4 4 1 1
..o ..o3..o3..o *c3..o | * * 8 ♦ 0 0 1 0 0 8 6 | 0 0 0 0 8 0 4 24 12 12 | 0 0 0 0 0 0 4 12 0 0 12 24 12 8 4 4 | 0 0 0 0 0 6 8 0 12 8 8 2 1 | 0 0 4 2 4 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x.. ... ... ... | 2 0 0 | 24 * * * * * * ♦ 4 0 4 0 0 0 0 0 0 0 | 2 2 2 8 2 0 0 0 0 0 0 0 0 0 0 0 | 1 4 4 4 0 1 0 0 0 0 0 0 0 | 2 2 2 0 0 0
oo. oo.3oo.3oo. *c3oo.&#x | 1 1 0 | * 64 * * * * * ♦ 0 1 3 3 1 0 0 0 0 0 | 0 0 3 3 3 3 1 3 0 0 0 0 0 0 0 0 | 0 3 1 3 1 3 3 0 0 0 0 0 0 | 1 1 3 1 0 0
o.o o.o3o.o3o.o *c3o.o&#x | 1 0 1 | * * 8 * * * * ♦ 0 0 0 0 8 0 0 0 0 0 | 0 0 0 0 0 0 4 12 0 0 0 0 0 0 0 0 | 0 0 0 0 0 6 8 0 0 0 0 0 0 | 0 0 4 2 0 0
.x. ... ... ... ... | 0 2 0 | * * * 8 * * * ♦ 0 4 0 0 0 0 4 0 0 0 | 0 0 6 0 0 0 4 0 0 0 6 0 0 0 0 0 | 0 4 0 0 0 6 0 0 4 0 0 0 0 | 1 0 4 0 1 0
... ... ... ... .x. | 0 2 0 | * * * * 48 * * ♦ 0 0 0 2 0 4 0 0 2 0 | 0 0 0 0 1 4 0 2 2 2 0 0 1 4 0 0 | 0 0 0 2 2 1 4 1 0 0 2 2 0 | 0 1 2 2 0 1
.oo .oo3.oo3.oo *c3.oo&#x | 0 1 1 | * * * * * 64 * ♦ 0 0 0 0 1 0 1 3 3 0 | 0 0 0 0 0 0 1 3 0 0 3 3 3 3 0 0 | 0 0 0 0 0 3 3 0 3 1 3 1 0 | 0 0 3 1 1 1
... ..x ... ... ... | 0 0 2 | * * * * * * 24 ♦ 0 0 0 0 0 0 0 4 0 4 | 0 0 0 0 0 0 0 0 0 0 2 8 2 0 2 2 | 0 0 0 0 0 1 0 0 4 4 4 0 1 | 0 0 2 0 2 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 | 32 * * * * * * * * * | 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
ox. ... ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 | * 32 * * * * * * * * | 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 3 0 0 0 3 0 0 0 0 0 0 0 | 1 0 3 0 0 0
... xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 0 | * * 96 * * * * * * * | 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 2 0 1 0 0 0 0 0 0 0 | 1 1 2 0 0 0
... ... ... ... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * * 96 * * * * * * | 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 0 0 | 0 1 2 1 0 0
ooo ooo3ooo3ooo *c3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * 64 * * * * * | 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 | 0 0 0 0 0 3 3 0 0 0 0 0 0 | 0 0 3 1 0 0
... ... .o. ... *c3.x. | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * 64 * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 | 0 0 0 1 1 0 1 1 0 0 1 1 0 | 0 1 1 1 0 1
.xo ... ... ... ...&#x | 0 2 1 | 0 0 0 1 0 2 0 | * * * * * * 32 * * * | 0 0 0 0 0 0 1 0 0 0 3 0 0 0 0 0 | 0 0 0 0 0 3 0 0 3 0 0 0 0 | 0 0 3 0 1 0
... .ox ... ... ...&#x | 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 | 0 0 0 0 0 1 0 0 2 1 2 0 0 | 0 0 2 0 1 1
... ... ... ... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * * 96 * | 0 0 0 0 0 0 0 1 0 0 0 0 1 2 0 0 | 0 0 0 0 0 1 2 0 0 0 2 1 0 | 0 0 2 1 0 1
... ..x3..o ... ... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * 32 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 | 0 0 0 0 0 0 0 0 1 2 2 0 1 | 0 0 1 0 1 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0
... x..3o.. ... *c3o.. ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0
ox. xo. ... ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 0 | 0 2 2 0 0 0 0 0 0 0 | * * 48 * * * * * * * * * * * * * | 0 2 0 0 0 1 0 0 0 0 0 0 0 | 1 0 2 0 0 0
... xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 0 | 1 0 3 0 0 0 0 0 0 0 | * * * 64 * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... xo. ... ... ox.&#x ♦ 2 2 0 | 1 4 0 0 1 0 0 | 0 0 2 2 0 0 0 0 0 0 | * * * * 48 * * * * * * * * * * * | 0 0 0 2 0 1 0 0 0 0 0 0 0 | 0 1 2 0 0 0
... ... oo. ... *c3ox.&#x ♦ 1 3 0 | 0 3 0 0 3 0 0 | 0 0 0 3 0 1 0 0 0 0 | * * * * * 64 * * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0
oxo ... ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 0 2 0 | 0 1 0 0 2 0 1 0 0 0 | * * * * * * 32 * * * * * * * * * | 0 0 0 0 0 3 0 0 0 0 0 0 0 | 0 0 3 0 0 0
... ... ... ... oxo&#x ♦ 1 2 1 | 0 2 1 0 1 2 0 | 0 0 0 1 2 0 0 0 1 0 | * * * * * * * 96 * * * * * * * * | 0 0 0 0 0 1 2 0 0 0 0 0 0 | 0 0 2 1 0 0
... .o.3.o. ... *c3.x. ♦ 0 4 0 | 0 0 0 0 6 0 0 | 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * 16 * * * * * * * | 0 0 0 1 0 0 0 1 0 0 1 0 0 | 0 1 1 0 0 1
... ... .o.3.o. *c3.x. ♦ 0 4 0 | 0 0 0 0 6 0 0 | 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * 16 * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 1 0 | 0 1 0 1 0 1
.xo .ox ... ... ...&#x ♦ 0 2 2 | 0 0 0 1 0 4 1 | 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * 48 * * * * * | 0 0 0 0 0 1 0 0 2 0 0 0 0 | 0 0 2 0 1 0
... .ox3.oo ... ...&#x ♦ 0 1 3 | 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 3 0 1 | * * * * * * * * * * * 64 * * * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 1 0 1 1
... .ox ... ... .xo&#x ♦ 0 2 2 | 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * 48 * * * | 0 0 0 0 0 1 0 0 0 0 2 0 0 | 0 0 2 0 0 1
... ... .oo ... *c3.xo&#x ♦ 0 3 1 | 0 0 0 0 3 3 0 | 0 0 0 0 0 1 0 0 3 0 | * * * * * * * * * * * * * 64 * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1
... ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 0 2 0 0 1 | 0 0 0 0 1 2
... ..x3..o ... *c3..o ♦ 0 0 4 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 0 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o..3o.. *c3o.. ♦ 8 0 0 | 24 0 0 0 0 0 0 | 32 0 0 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 0 2 0 0 0 0
ox. xo.3oo. ... ...&#x ♦ 3 2 0 | 3 6 0 1 0 0 0 | 1 3 6 0 0 0 0 0 0 0 | 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * * | 1 0 1 0 0 0
... xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 4 0 0 0 0 0 | 4 0 6 0 0 0 0 0 0 0 | 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * * * * | 1 1 0 0 0 0
... xo.3oo. ... *c3ox.&#x ♦ 4 4 0 | 6 12 0 0 6 0 0 | 4 0 12 12 0 4 0 0 0 0 | 0 1 0 4 6 4 0 0 1 0 0 0 0 0 0 0 | * * * 16 * * * * * * * * * | 0 1 1 0 0 0
... ... oo.3oo. *c3ox.&#x ♦ 1 4 0 | 0 4 0 0 6 0 0 | 0 0 0 6 0 4 0 0 0 0 | 0 0 0 0 0 4 0 0 0 1 0 0 0 0 0 0 | * * * * 16 * * * * * * * * | 0 1 0 1 0 0
oxo xox ... ... oxo&#xt ♦ 2 4 2 | 1 8 2 2 2 8 1 | 0 4 4 4 8 0 4 4 4 0 | 0 0 2 0 2 0 4 4 0 0 2 0 2 0 0 0 | * * * * * 24 * * * * * * * | 0 0 2 0 0 0
... ... ooo ... *c3oxo&#x ♦ 1 3 1 | 0 3 1 0 3 3 0 | 0 0 0 3 3 1 0 0 3 0 | 0 0 0 0 0 1 0 3 0 0 0 0 0 1 0 0 | * * * * * * 64 * * * * * * | 0 0 1 1 0 0
... .o.3.o.3.o. *c3.x. ♦ 0 8 0 | 0 0 0 0 24 0 0 | 0 0 0 0 0 32 0 0 0 0 | 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 | * * * * * * * 2 * * * * * | 0 1 0 0 0 1
.xo .ox3.oo ... ...&#x ♦ 0 2 3 | 0 0 0 1 0 6 3 | 0 0 0 0 0 0 3 6 0 1 | 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * * * 32 * * * * | 0 0 1 0 1 0
... .ox3.oo3.oo ...&#x ♦ 0 1 4 | 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 6 0 4 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 1 0 | * * * * * * * * * 16 * * * | 0 0 0 0 1 1
... .ox3.oo ... *c3.xo&#x ♦ 0 4 4 | 0 0 0 0 6 12 6 | 0 0 0 0 0 4 0 12 12 4 | 0 0 0 0 0 0 0 0 1 0 0 4 6 4 0 1 | * * * * * * * * * * 16 * * | 0 0 1 0 0 1
... ... .oo3.oo *c3.xo&#x ♦ 0 4 1 | 0 0 0 0 6 4 0 | 0 0 0 0 0 4 0 0 6 0 | 0 0 0 0 0 0 0 0 0 1 0 0 0 4 0 0 | * * * * * * * * * * * 16 * | 0 0 0 1 0 1
... ..x3..o3..o *c3..o ♦ 0 0 8 | 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 0 0 0 0 0 8 8 | * * * * * * * * * * * * 1 | 0 0 0 0 0 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
ox. xo.3oo.3oo. ...&#x ♦ 4 2 0 | 6 8 0 1 0 0 0 | 4 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 | 0 4 2 0 0 0 0 0 0 0 0 0 0 | 8 * * * * *
... xo.3oo.3oo. *c3ox.&#x ♦ 8 8 0 | 24 32 0 0 24 0 0 | 32 0 48 48 0 32 0 0 0 0 | 8 8 0 32 24 32 0 0 8 8 0 0 0 0 0 0 | 1 0 8 8 8 0 0 1 0 0 0 0 0 | * 2 * * * *
oxo xox3ooo ... *c3oxo&#xt ♦ 4 8 4 | 6 24 4 4 12 24 6 | 4 12 24 24 24 8 12 24 24 4 | 0 1 12 8 12 8 12 24 2 0 12 8 12 8 0 1 | 0 4 0 2 0 6 8 0 4 0 2 0 0 | * * 8 * * *
... ... ooo3ooo *c3oxo&#x ♦ 1 4 1 | 0 4 1 0 6 4 0 | 0 0 0 6 4 4 0 0 6 0 | 0 0 0 0 0 4 0 6 0 1 0 0 0 4 0 0 | 0 0 0 0 1 0 4 0 0 0 0 1 0 | * * * 16 * *
.xo .ox3.oo3.oo ...&#x ♦ 0 2 4 | 0 0 0 1 0 8 6 | 0 0 0 0 0 0 4 12 0 4 | 0 0 0 0 0 0 0 0 0 0 6 8 0 0 1 0 | 0 0 0 0 0 0 0 0 4 2 0 0 0 | * * * * 8 *
... .ox3.oo3.oo *c3.xo&#x ♦ 0 8 8 | 0 0 0 0 24 32 24 | 0 0 0 0 0 32 0 48 48 32 | 0 0 0 0 0 0 0 0 8 8 0 32 24 32 8 8 | 0 0 0 0 0 0 0 1 0 8 8 8 1 | * * * * * 2
or
o.. o..3o..3o.. *c3o.. & | 16 * ♦ 6 8 1 0 0 | 12 4 24 12 8 0 | 4 4 12 24 12 8 4 12 0 0 | 1 12 8 8 2 6 8 0 | 4 2 4 2
.o. .o.3.o.3.o. *c3.o. | * 16 ♦ 0 8 0 1 6 | 0 8 12 24 4 12 | 0 0 12 8 12 24 4 12 4 4 | 0 8 2 8 8 6 12 1 | 2 2 4 4
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x.. ... ... ... & | 2 0 | 48 * * * * ♦ 4 0 4 0 0 0 | 2 2 2 8 2 0 0 0 0 0 | 1 4 4 4 0 1 0 0 | 2 2 2 0
oo. oo.3oo.3oo. *c3oo.&#x & | 1 1 | * 128 * * * ♦ 0 1 3 3 1 0 | 0 0 3 3 3 3 1 3 0 0 | 0 3 1 3 1 3 3 0 | 1 1 3 1
o.o o.o3o.o3o.o *c3o.o&#x | 2 0 | * * 8 * * ♦ 0 0 0 0 8 0 | 0 0 0 0 0 0 4 12 0 0 | 0 0 0 0 0 6 8 0 | 0 0 4 2
.x. ... ... ... ... | 0 2 | * * * 8 * ♦ 0 8 0 0 0 0 | 0 0 12 0 0 0 4 0 0 0 | 0 8 0 0 0 6 0 0 | 2 0 4 0
... ... ... ... .x. | 0 2 | * * * * 48 ♦ 0 0 0 4 0 4 | 0 0 0 0 2 8 0 2 2 2 | 0 0 0 4 4 1 4 1 | 0 2 2 2
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o.. ... ... & | 3 0 | 3 0 0 0 0 | 64 * * * * * | 1 1 0 2 0 0 0 0 0 0 | 1 1 2 2 0 0 0 0 | 1 2 1 0
ox. ... ... ... ...&#x & | 1 2 | 0 2 0 1 0 | * 64 * * * * | 0 0 3 0 0 0 1 0 0 0 | 0 3 0 0 0 3 0 0 | 1 0 3 0
... xo. ... ... ...&#x & | 2 1 | 1 2 0 0 0 | * * 192 * * * | 0 0 1 2 1 0 0 0 0 0 | 0 2 1 2 0 1 0 0 | 1 1 2 0
... ... ... ... ox.&#x & | 1 2 | 0 2 0 0 1 | * * * 192 * * | 0 0 0 0 1 2 0 1 0 0 | 0 0 0 2 1 1 2 0 | 0 1 2 1
ooo ooo3ooo3ooo *c3ooo&#x | 2 1 | 0 2 1 0 0 | * * * * 64 * | 0 0 0 0 0 0 1 3 0 0 | 0 0 0 0 0 3 3 0 | 0 0 3 1
... ... .o. ... *c3.x. | 0 3 | 0 0 0 0 3 | * * * * * 64 | 0 0 0 0 0 2 0 0 1 1 | 0 0 0 2 2 0 1 1 | 0 2 1 1
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | 16 * * * * * * * * * | 1 0 2 0 0 0 0 0 | 1 2 0 0
... x..3o.. ... *c3o.. & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 0 2 0 0 0 0 | 0 2 1 0
ox. xo. ... ... ...&#x & ♦ 2 2 | 1 4 0 1 0 | 0 2 2 0 0 0 | * * 96 * * * * * * * | 0 2 0 0 0 1 0 0 | 1 0 2 0
... xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 0 0 | 1 0 3 0 0 0 | * * * 128 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0
... xo. ... ... ox.&#x & ♦ 2 2 | 1 4 0 0 1 | 0 0 2 2 0 0 | * * * * 96 * * * * * | 0 0 0 2 0 1 0 0 | 0 1 2 0
... ... oo. ... *c3ox.&#x & ♦ 1 3 | 0 3 0 0 3 | 0 0 0 3 0 1 | * * * * * 128 * * * * | 0 0 0 1 1 0 1 0 | 0 1 1 1
oxo ... ... ... ...&#x ♦ 2 2 | 0 4 1 1 0 | 0 2 0 0 2 0 | * * * * * * 32 * * * | 0 0 0 0 0 3 0 0 | 0 0 3 0
... ... ... ... oxo&#x ♦ 2 2 | 0 4 1 0 1 | 0 0 0 2 2 0 | * * * * * * * 96 * * | 0 0 0 0 0 1 2 0 | 0 0 2 1
... .o.3.o. ... *c3.x. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * 16 * | 0 0 0 2 0 0 0 1 | 0 2 1 0
... ... .o.3.o. *c3.x. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * * 16 | 0 0 0 0 2 0 0 1 | 0 2 0 1
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o..3o.. *c3o.. & ♦ 8 0 | 24 0 0 0 0 | 32 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 | 2 * * * * * * * | 0 2 0 0
ox. xo.3oo. ... ...&#x & ♦ 3 2 | 3 6 0 1 0 | 1 3 6 0 0 0 | 0 0 3 2 0 0 0 0 0 0 | * 64 * * * * * * | 1 0 1 0
... xo.3oo.3oo. ...&#x & ♦ 4 1 | 6 4 0 0 0 | 4 0 6 0 0 0 | 1 0 0 4 0 0 0 0 0 0 | * * 32 * * * * * | 1 1 0 0
... xo.3oo. ... *c3ox.&#x & ♦ 4 4 | 6 12 0 0 6 | 4 0 12 12 0 4 | 0 1 0 4 6 4 0 0 1 0 | * * * 32 * * * * | 0 1 1 0
... ... oo.3oo. *c3ox.&#x & ♦ 1 4 | 0 4 0 0 6 | 0 0 0 6 0 4 | 0 0 0 0 0 4 0 0 0 1 | * * * * 32 * * * | 0 1 0 1
oxo xox ... ... oxo&#xt ♦ 4 4 | 2 16 2 2 2 | 0 8 8 8 8 0 | 0 0 4 0 4 0 4 4 0 0 | * * * * * 24 * * | 0 0 2 0
... ... ooo ... *c3oxo&#x ♦ 2 3 | 0 6 1 0 3 | 0 0 0 6 3 1 | 0 0 0 0 0 2 0 3 0 0 | * * * * * * 64 * | 0 0 1 1
... .o.3.o.3.o. *c3.x. ♦ 0 8 | 0 0 0 0 24 | 0 0 0 0 0 32 | 0 0 0 0 0 0 0 0 8 8 | * * * * * * * 2 | 0 2 0 0
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
ox. xo.3oo.3oo. ...&#x & ♦ 4 2 | 6 8 0 1 0 | 4 4 12 0 0 0 | 1 0 6 8 0 0 0 0 0 0 | 0 4 2 0 0 0 0 0 | 16 * * *
... xo.3oo.3oo. *c3ox.&#x & ♦ 8 8 | 24 32 0 0 24 | 32 0 48 48 0 32 | 8 8 0 32 24 32 0 0 8 8 | 1 0 8 8 8 0 0 1 | * 4 * *
oxo xox3ooo ... *c3oxo&#xt ♦ 8 8 | 12 48 4 4 12 | 8 24 48 48 24 8 | 0 2 24 16 24 16 12 24 2 0 | 0 8 0 4 0 6 8 0 | * * 8 *
... ... ooo3ooo *c3oxo&#x ♦ 2 4 | 0 8 1 0 6 | 0 0 0 12 4 4 | 0 0 0 0 0 8 0 6 0 1 | 0 0 0 0 2 0 4 0 | * * * 16
xo3oo3ox *b3oo xo ox&#zx → height = 0
(tegum sum of 2 mutually gyrated, lacings-orthogonal hexips)
o.3o.3o. *b3o. o. o. | 16 * ♦ 6 1 8 0 0 | 12 24 12 8 4 0 | 4 4 24 12 12 8 12 4 0 0 | 1 8 8 12 6 2 8 0 | 2 4 4 2
.o3.o3.o *b3.o .o .o | * 16 ♦ 0 0 8 6 1 | 0 12 24 4 8 12 | 0 0 8 12 12 24 12 4 4 4 | 0 8 2 8 6 8 12 1 | 2 4 2 4
-------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
x. .. .. .. .. .. | 2 0 | 48 * * * * ♦ 4 4 0 0 0 0 | 2 2 8 2 2 0 0 0 0 0 | 1 4 4 4 1 0 0 0 | 2 2 2 0
.. .. .. .. x. .. | 2 0 | * 8 * * * ♦ 0 0 0 8 0 0 | 0 0 0 0 0 0 12 4 0 0 | 0 0 0 0 6 0 8 0 | 0 4 0 2
oo3oo3oo *b3oo oo oo&#x | 1 1 | * * 128 * * ♦ 0 3 3 1 1 0 | 0 0 3 3 3 3 3 1 0 0 | 0 3 1 3 3 1 3 0 | 1 3 1 1
.. .. .x .. .. .. | 0 2 | * * * 48 * ♦ 0 0 4 0 0 4 | 0 0 0 2 0 8 2 0 2 2 | 0 4 0 0 1 4 4 1 | 2 2 0 2
.. .. .. .. .. .x | 0 2 | * * * * 8 ♦ 0 0 0 0 8 0 | 0 0 0 0 12 0 0 4 0 0 | 0 0 0 8 6 0 0 0 | 0 4 2 0
-------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 0 0 | 64 * * * * * | 1 1 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0
xo .. .. .. .. ..&#x | 2 1 | 1 0 2 0 0 | * 192 * * * * | 0 0 2 1 1 0 0 0 0 0 | 0 2 1 2 1 0 0 0 | 1 2 1 0
.. .. ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * 192 * * * | 0 0 0 1 0 2 1 0 0 0 | 0 2 0 0 1 1 2 0 | 1 2 0 1
.. .. .. .. xo ..&#x | 2 1 | 0 1 2 0 0 | * * * 64 * * | 0 0 0 0 0 0 3 1 0 0 | 0 0 0 0 3 0 3 0 | 0 3 0 1
.. .. .. .. .. ox&#x | 1 2 | 0 0 2 0 1 | * * * * 64 * | 0 0 0 0 3 0 0 1 0 0 | 0 0 0 3 3 0 0 0 | 0 3 1 0
.. .o3.x .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * 64 | 0 0 0 0 0 2 0 0 1 1 | 0 2 0 0 0 2 1 1 | 2 1 0 1
-------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | 16 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0
x.3o. .. *b3o. .. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3 0 3 0 0 | 1 3 0 0 0 0 | * * 128 * * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0
xo .. ox .. .. ..&#x ♦ 2 2 | 1 0 4 1 0 | 0 2 2 0 0 0 | * * * 96 * * * * * * | 0 2 0 0 1 0 0 0 | 1 2 0 0
xo .. .. .. .. ox&#x ♦ 2 2 | 1 0 4 0 1 | 0 2 0 0 2 0 | * * * * 96 * * * * * | 0 0 0 2 1 0 0 0 | 0 2 1 0
.. oo3ox .. .. ..&#x ♦ 1 3 | 0 0 3 3 0 | 0 0 3 0 0 1 | * * * * * 128 * * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1
.. .. ox .. xo ..&#x ♦ 2 2 | 0 1 4 1 0 | 0 0 2 2 0 0 | * * * * * * 96 * * * | 0 0 0 0 1 0 2 0 | 0 2 0 1
.. .. .. .. xo ox&#x ♦ 2 2 | 0 1 4 0 1 | 0 0 0 2 2 0 | * * * * * * * 32 * * | 0 0 0 0 3 0 0 0 | 0 3 0 0
.o3.o3.x .. .. .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 | * * * * * * * * 16 * | 0 2 0 0 0 0 0 1 | 2 1 0 0
.. .o3.x *b3.o .. .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 | * * * * * * * * * 16 | 0 0 0 0 0 2 0 1 | 2 0 0 1
-------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
x.3o.3o. *b3o. .. .. ♦ 8 0 | 24 0 0 0 0 | 32 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 | 2 * * * * * * * | 2 0 0 0
xo3oo3ox .. .. ..&#x ♦ 4 4 | 6 0 12 6 0 | 4 12 12 0 0 4 | 1 0 4 6 0 4 0 0 1 0 | * 32 * * * * * * | 1 1 0 0
xo3oo .. *b3oo .. ..&#x ♦ 4 1 | 6 0 4 0 0 | 4 6 0 0 0 0 | 0 1 4 0 0 0 0 0 0 0 | * * 32 * * * * * | 1 0 1 0
xo3oo .. .. .. ox&#x ♦ 3 2 | 3 0 6 0 1 | 1 6 0 0 3 0 | 0 0 2 0 3 0 0 0 0 0 | * * * 64 * * * * | 0 1 1 0
xo .. ox .. xo ox&#zx ♦ 4 4 | 2 2 16 2 2 | 0 8 8 8 8 0 | 0 0 0 4 4 0 4 4 0 0 | * * * * 24 * * * | 0 2 0 0
.. oo3ox *b3oo .. ..&#x ♦ 1 4 | 0 0 4 6 0 | 0 0 6 0 0 4 | 0 0 0 0 0 4 0 0 0 1 | * * * * * 32 * * | 1 0 0 1
.. oo3ox .. xo ..&#x ♦ 2 3 | 0 1 6 3 0 | 0 0 6 3 0 1 | 0 0 0 0 0 2 3 0 0 0 | * * * * * * 64 * | 0 1 0 1
.o3.o3.x *b3.o .. .. ♦ 0 8 | 0 0 0 24 0 | 0 0 0 0 0 32 | 0 0 0 0 0 0 0 0 8 8 | * * * * * * * 2 | 2 0 0 0
-------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
xo3oo3ox *b3oo .. ..&#x ♦ 8 8 | 24 0 32 24 0 | 32 48 48 0 0 32 | 8 8 32 24 0 32 0 0 8 8 | 1 8 8 0 0 8 0 1 | 4 * * *
xo3oo3ox .. xo ox&#zx ♦ 8 8 | 12 4 48 12 4 | 8 48 48 24 24 8 | 2 0 16 24 24 16 24 12 2 0 | 0 4 0 8 6 0 8 0 | * 8 * *
xo3oo .. *b3oo .. ox&#x ♦ 4 2 | 6 0 8 0 1 | 4 12 0 0 4 0 | 0 1 8 0 6 0 0 0 0 0 | 0 0 2 4 0 0 0 0 | * * 16 *
.. oo3ox *b3oo xo ..&#x ♦ 2 4 | 0 1 8 6 0 | 0 0 12 4 0 4 | 0 0 0 0 0 8 6 0 0 1 | 0 0 0 0 0 2 4 0 | * * * 16
or
o.3o.3o. *b3o. o. o. & | 32 ♦ 6 1 8 | 12 36 12 | 4 4 32 12 24 4 | 1 8 10 20 6 | 2 4 6
---------------------------+----+-----------+-------------+---------------------+----------------+-------
x. .. .. .. .. .. & | 2 | 96 * * ♦ 4 4 0 | 2 2 8 2 2 0 | 1 4 4 4 1 | 2 2 2
.. .. .. .. x. .. & | 2 | * 16 * ♦ 0 0 8 | 0 0 0 0 12 4 | 0 0 0 8 6 | 0 4 2
oo3oo3oo *b3oo oo oo&#x | 2 | * * 128 ♦ 0 6 2 | 0 0 6 3 6 1 | 0 3 2 6 3 | 1 3 2
---------------------------+----+-----------+-------------+---------------------+----------------+-------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 128 * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * 384 * | 0 0 2 1 1 0 | 0 2 1 2 1 | 1 2 1
.. .. .. .. xo ..&#x & | 3 | 0 1 2 | * * 128 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 3 1
---------------------------+----+-----------+-------------+---------------------+----------------+-------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 | 32 * * * * * | 1 2 0 0 0 | 2 1 0
x.3o. .. *b3o. .. .. & ♦ 4 | 6 0 0 | 4 0 0 | * 32 * * * * | 1 0 2 0 0 | 2 0 1
xo3oo .. .. .. ..&#x & ♦ 4 | 3 0 3 | 1 3 0 | * * 256 * * * | 0 1 1 1 0 | 1 1 1
xo .. ox .. .. ..&#x ♦ 4 | 2 0 4 | 0 4 0 | * * * 96 * * | 0 2 0 0 1 | 1 2 0
xo .. .. .. .. ox&#x & ♦ 4 | 1 1 4 | 0 2 2 | * * * * 192 * | 0 0 0 2 1 | 0 2 1
.. .. .. .. xo ox&#x ♦ 4 | 0 2 4 | 0 0 4 | * * * * * 32 | 0 0 0 0 3 | 0 3 0
---------------------------+----+-----------+-------------+---------------------+----------------+-------
x.3o.3o. *b3o. .. .. & ♦ 8 | 24 0 0 | 32 0 0 | 8 8 0 0 0 0 | 4 * * * * | 2 0 0
xo3oo3ox .. .. ..&#x ♦ 8 | 12 0 12 | 8 24 0 | 2 0 8 6 0 0 | * 32 * * * | 1 1 0
xo3oo .. *b3oo .. ..&#x & ♦ 5 | 6 0 4 | 4 6 0 | 0 1 4 0 0 0 | * * 64 * * | 1 0 1
xo3oo .. .. .. ox&#x & ♦ 5 | 3 1 6 | 1 6 3 | 0 0 2 0 3 0 | * * * 128 * | 0 1 1
xo .. ox .. xo ox&#zx ♦ 8 | 4 4 16 | 0 16 16 | 0 0 0 4 8 4 | * * * * 24 | 0 2 0
---------------------------+----+-----------+-------------+---------------------+----------------+-------
xo3oo3ox *b3oo .. ..&#x ♦ 16 | 48 0 32 | 64 96 0 | 16 16 64 24 0 0 | 2 8 16 0 0 | 4 * *
xo3oo3ox .. xo ox&#zx ♦ 16 | 24 8 48 | 16 96 48 | 4 0 32 24 48 12 | 0 4 0 16 6 | * 8 *
xo3oo .. *b3oo .. ox&#x & ♦ 6 | 6 1 8 | 4 12 4 | 0 1 8 0 6 0 | 0 0 2 4 0 | * * 32
xoxo3oooo3oxox *b3oooo&#xr → all cyclical heights = 1/sqrt(2) = 0.707107
o...3o...3o... *b3o... & | 32 ♦ 6 8 1 | 12 36 12 | 4 4 32 12 24 4 | 1 8 10 20 6 | 2 6 4
-----------------------------+----+-----------+-------------+---------------------+----------------+-------
x... .... .... .... & | 2 | 96 * * ♦ 4 4 0 | 2 2 8 2 2 0 | 1 4 4 4 1 | 2 2 2
oo..3oo..3oo.. *b3oo..&#x & | 2 | * 128 * ♦ 0 6 2 | 0 0 6 3 6 1 | 0 3 2 6 3 | 1 2 3
o.o.3o.o.3o.o. *b3o.o.&#x & | 2 | * * 16 ♦ 0 0 8 | 0 0 0 0 12 4 | 0 0 0 8 6 | 0 2 4
-----------------------------+----+-----------+-------------+---------------------+----------------+-------
x...3o... .... .... & | 3 | 3 0 0 | 128 * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1
xo.. .... .... ....&#x & | 3 | 1 2 0 | * 384 * | 0 0 2 1 1 0 | 0 2 1 2 1 | 1 1 2
ooo.3ooo.3ooo. *b3ooo.&#x & | 3 | 0 2 1 | * * 128 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3
-----------------------------+----+-----------+-------------+---------------------+----------------+-------
x...3o...3o... .... & ♦ 4 | 6 0 0 | 4 0 0 | 32 * * * * * | 1 2 0 0 0 | 2 0 1
x...3o... .... *b3o... & ♦ 4 | 6 0 0 | 4 0 0 | * 32 * * * * | 1 0 2 0 0 | 2 1 0
xo..3oo.. .... ....&#x & ♦ 4 | 3 3 0 | 1 3 0 | * * 256 * * * | 0 1 1 1 0 | 1 1 1
xo.. .... ox.. ....&#x & ♦ 4 | 2 4 0 | 0 4 0 | * * * 96 * * | 0 2 0 0 1 | 1 0 2
.... .... oxo. ....&#x & ♦ 4 | 1 4 1 | 0 2 2 | * * * * 192 * | 0 0 0 2 1 | 0 1 2
oooo3oooo3oooo *b3oooo&#x ♦ 4 | 0 4 2 | 0 0 4 | * * * * * 32 | 0 0 0 0 3 | 0 0 3
-----------------------------+----+-----------+-------------+---------------------+----------------+-------
x...3o...3o... *b3o... & ♦ 8 | 24 0 0 | 32 0 0 | 8 8 0 0 0 0 | 4 * * * * | 2 0 0
xo..3oo..3ox.. ....&#x & ♦ 8 | 12 12 0 | 8 24 0 | 2 0 8 6 0 0 | * 32 * * * | 1 0 1
xo..3oo.. .... *b3oo..&#x & ♦ 5 | 6 4 0 | 4 6 0 | 0 1 4 0 0 0 | * * 64 * * | 1 1 0
.... ooo.3oxo. ....&#x & ♦ 5 | 3 6 1 | 1 6 3 | 0 0 2 0 3 0 | * * * 128 * | 0 1 1
xoxo .... oxox ....&#xr ♦ 8 | 4 16 4 | 0 16 16 | 0 0 0 4 8 4 | * * * * 24 | 0 0 2
-----------------------------+----+-----------+-------------+---------------------+----------------+-------
xo..3oo.. ox.. *b3oo..&#x & ♦ 16 | 48 32 0 | 64 96 0 | 16 16 64 24 0 0 | 2 8 16 0 0 | 4 * *
.... ooo.3oxo. *b3ooo.&#x & ♦ 6 | 6 8 1 | 4 12 4 | 0 1 8 0 6 0 | 0 0 2 4 0 | * 32 *
xoxo3oooo3oxox ....&#xr ♦ 16 | 24 48 8 | 16 96 48 | 4 0 32 24 48 12 | 0 4 0 16 6 | * * 8
oxoo3ooxo xoxo3oooo3oxox&#xt → all heights = 1/sqrt(6) = 0.408248
(tet || pseudo tet-dual tratet || pseudo {3}-dual tratet || dual tet)
o...3o... o...3o...3o... & | 8 * ♦ 3 9 3 0 0 0 | 3 9 18 9 18 3 0 0 0 0 | 1 3 18 9 9 3 9 9 18 1 0 0 0 0 | 6 9 3 9 9 6 3 0 0 | 3 3 3 3
.o..3.o.. .o..3.o..3.o.. & | * 24 ♦ 0 3 1 2 3 6 | 0 6 3 6 12 2 1 3 9 18 | 0 3 6 1 3 3 9 9 18 1 1 12 8 6 | 3 2 1 9 12 8 3 5 2 | 1 3 5 3
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x... .... .... & | 2 0 | 12 * * * * * ♦ 2 0 6 0 0 0 0 0 0 0 | 1 0 6 6 3 0 0 0 0 0 0 0 0 0 | 2 6 3 3 0 0 0 0 0 | 2 3 0 1
oo..3oo.. oo..3oo..3oo..&#x & | 1 1 | * 72 * * * * ♦ 0 2 2 2 2 0 0 0 0 0 | 0 1 4 1 2 1 2 1 4 0 0 0 0 0 | 2 2 1 4 2 2 1 0 0 | 1 2 1 2
o.o.3o.o. o.o.3o.o.3o.o.&#x & | 1 1 | * * 24 * * * ♦ 0 0 0 0 6 2 0 0 0 0 | 0 0 0 0 0 0 3 6 6 1 0 0 0 0 | 0 0 0 3 6 2 3 0 0 | 0 1 2 3
.x.. .... .... .... .... & | 0 2 | * * * 24 * * ♦ 0 3 0 0 0 1 1 0 3 0 | 0 3 3 0 0 0 3 3 0 1 0 3 0 0 | 3 1 0 3 3 0 3 1 0 | 1 1 1 3
.... .... .... .... .x.. & | 0 2 | * * * * 36 * ♦ 0 0 0 2 0 0 0 2 0 4 | 0 0 0 0 1 2 0 0 4 0 1 2 4 2 | 0 0 1 3 2 4 0 2 2 | 0 3 2 1
.oo.3.oo. .oo.3.oo.3.oo.&#x | 0 2 | * * * * * 72 ♦ 0 0 0 0 2 0 0 0 2 4 | 0 0 0 0 0 0 2 2 4 0 0 4 2 2 | 0 0 0 4 4 2 1 2 1 | 0 2 2 2
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x...3o... .... & | 3 0 | 3 0 0 0 0 0 | 8 * * * * * * * * * | 1 0 0 3 0 0 0 0 0 0 0 0 0 0 | 0 3 3 0 0 0 0 0 0 | 1 3 0 0
ox.. .... .... .... ....&#x & | 1 2 | 0 2 0 1 0 0 | * 72 * * * * * * * * | 0 1 2 0 0 0 1 0 0 0 0 0 0 0 | 2 1 0 2 0 0 1 0 0 | 1 1 0 2
.... .... xo.. .... ....&#x & | 2 1 | 1 2 0 0 0 0 | * * 72 * * * * * * * | 0 0 2 1 1 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 | 1 2 0 1
.... .... .... .... ox..&#x & | 1 2 | 0 2 0 0 1 0 | * * * 72 * * * * * * | 0 0 0 0 1 1 0 0 2 0 0 0 0 0 | 0 0 1 2 1 2 0 0 0 | 0 2 1 1
ooo.3ooo. ooo.3ooo.3ooo.&#x & | 1 2 | 0 1 1 0 0 1 | * * * * 144 * * * * * | 0 0 0 0 0 0 1 1 2 0 0 0 0 0 | 0 0 0 2 2 1 1 0 0 | 0 1 1 2
.... o.x. .... .... ....&#x & | 1 2 | 0 0 2 1 0 0 | * * * * * 24 * * * * | 0 0 0 0 0 0 0 3 0 1 0 0 0 0 | 0 0 0 0 3 0 3 0 0 | 0 0 1 3
.x..3.o.. .... .... .... & | 0 3 | 0 0 0 3 0 0 | * * * * * * 8 * * * | 0 3 0 0 0 0 0 0 0 1 0 0 0 0 | 3 0 0 0 0 0 3 0 0 | 1 0 0 3
.... .... .... .o..3.x.. & | 0 3 | 0 0 0 0 3 0 | * * * * * * * 24 * * | 0 0 0 0 0 1 0 0 0 0 1 0 2 0 | 0 0 1 0 0 2 0 1 0 | 0 3 1 0
.xo. .... .... .... ....&#x & | 0 3 | 0 0 0 1 0 2 | * * * * * * * * 72 * | 0 0 0 0 0 0 1 1 0 0 0 2 0 0 | 0 0 0 2 2 0 1 1 0 | 0 1 1 2
.... .... .ox. .... ....&#x & | 0 3 | 0 0 0 0 1 2 | * * * * * * * * * 144 | 0 0 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 2 1 1 0 1 1 | 0 2 1 1
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x...3o...3o... & ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 0 0 3 0 0 0 0 0 0 | 0 3 0 0
ox..3oo.. .... .... ....&#x & ♦ 1 3 | 0 3 0 3 0 0 | 0 3 0 0 0 0 1 0 0 0 | * 24 * * * * * * * * * * * * | 2 0 0 0 0 0 1 0 0 | 1 0 0 2
ox.. .... xo.. .... ....&#x & ♦ 2 2 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 0 0 0 | * * 72 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 0 1
.... .... xo..3oo.. ....&#x & ♦ 3 1 | 3 3 0 0 0 0 | 1 0 3 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 | 1 2 0 0
.... .... xo.. .... ox..&#x & ♦ 2 2 | 1 4 0 0 1 0 | 0 0 2 2 0 0 0 0 0 0 | * * * * 36 * * * * * * * * * | 0 0 1 2 0 0 0 0 0 | 0 2 0 1
.... .... .... oo..3ox..&#x & ♦ 1 3 | 0 3 0 0 3 0 | 0 0 0 3 0 0 0 1 0 0 | * * * * * 24 * * * * * * * * | 0 0 1 0 0 2 0 0 0 | 0 2 1 0
oxo. .... .... .... ....&#x & ♦ 1 3 | 0 2 1 1 0 2 | 0 1 0 0 2 0 0 0 1 0 | * * * * * * 72 * * * * * * * | 0 0 0 2 0 0 1 0 0 | 0 1 0 2
.... oox. .... .... ....&#x & ♦ 1 3 | 0 1 2 1 0 2 | 0 0 0 0 2 1 0 0 1 0 | * * * * * * * 72 * * * * * * | 0 0 0 0 2 0 1 0 0 | 0 0 1 2
.... .... .... .... oxo.&#x & ♦ 1 3 | 0 2 1 0 1 2 | 0 0 0 1 2 0 0 0 0 1 | * * * * * * * * 144 * * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1
o.o.3o.x. .... .... ....&#x & ♦ 1 3 | 0 0 3 3 0 0 | 0 0 0 0 0 3 1 0 0 0 | * * * * * * * * * 8 * * * * | 0 0 0 0 0 0 3 0 0 | 0 0 0 3
.... .... .o..3.o..3.x.. & ♦ 0 4 | 0 0 0 0 6 0 | 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * 6 * * * | 0 0 1 0 0 0 0 0 2 | 0 3 0 0
.xo. .... .ox. .... ....&#x & ♦ 0 4 | 0 0 0 1 1 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 72 * * | 0 0 0 1 1 0 0 1 0 | 0 1 1 1
.... .... .ox.3.oo. ....&#x & ♦ 0 4 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 1 0 3 | * * * * * * * * * * * * 48 * | 0 0 0 0 0 1 0 1 1 | 0 2 1 0
.... .... .ox. .... .xo.&#x ♦ 0 4 | 0 0 0 0 2 4 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * 36 | 0 0 0 2 0 0 0 0 1 | 0 2 0 1
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
ox..3oo.. xo.. .... ....&#x & ♦ 2 3 | 1 6 0 3 0 0 | 0 6 3 0 0 0 1 0 0 0 | 0 2 3 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * | 1 0 0 1
ox.. .... xo..3oo.. ....&#x & ♦ 3 2 | 3 6 0 1 0 0 | 1 3 6 0 0 0 0 0 0 0 | 0 0 3 2 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * | 1 1 0 0
.... .... xo..3oo..3ox..&#x & ♦ 4 4 | 6 12 0 0 6 0 | 4 0 12 12 0 0 0 4 0 0 | 1 0 0 4 6 4 0 0 0 0 1 0 0 0 | * * 6 * * * * * * | 0 2 0 0
oxo. .... xox. .... oxo.&#xt & ♦ 2 6 | 1 8 2 2 3 8 | 0 4 4 4 8 0 0 0 4 8 | 0 0 2 0 2 0 4 0 4 0 0 2 0 2 | * * * 36 * * * * * | 0 1 0 1
.... oox. .... .... oxo.&#x & ♦ 1 4 | 0 2 2 1 1 4 | 0 0 0 1 4 1 0 0 2 2 | 0 0 0 0 0 0 0 2 2 0 0 1 0 0 | * * * * 72 * * * * | 0 0 1 1
.... .... .... ooo.3oxo.&#x & ♦ 1 4 | 0 3 1 0 3 3 | 0 0 0 3 3 0 0 1 0 3 | 0 0 0 0 0 1 0 0 3 0 0 0 1 0 | * * * * * 48 * * * | 0 1 1 0
oxoo3ooxo .... .... ....&#xr ♦ 2 6 | 0 6 6 6 0 6 | 0 6 0 0 12 6 2 0 6 0 | 0 2 0 0 0 0 6 6 0 2 0 0 0 0 | * * * * * * 12 * * | 0 0 0 2 cycle: (ABDC)
.xo. .... .ox.3.oo. ....&#x & ♦ 0 5 | 0 0 0 1 3 6 | 0 0 0 0 0 0 0 1 3 6 | 0 0 0 0 0 0 0 0 0 0 0 3 2 0 | * * * * * * * 24 * | 0 1 1 0
.... .... .ox.3.oo.3.xo.&#x ♦ 0 8 | 0 0 0 0 12 12 | 0 0 0 0 0 0 0 8 0 24 | 0 0 0 0 0 0 0 0 0 0 2 0 8 6 | * * * * * * * * 6 | 0 2 0 0
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
ox..3oo.. xo..3oo.. ....&#x & ♦ 3 3 | 3 9 0 3 0 0 | 1 9 9 0 0 0 1 0 0 0 | 0 3 9 3 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 | 8 * * *
oxo. .... xox.3ooo.3oxo.&#xt & ♦ 4 12 | 6 24 4 4 18 24 | 4 12 24 24 24 0 0 12 12 48 | 1 0 12 8 12 8 12 0 24 0 3 12 16 12 | 0 4 2 6 0 8 0 4 2 | * 6 * *
.... oox. .... ooo.3oxo.&#xt & ♦ 1 5 | 0 3 2 1 3 6 | 0 0 0 3 6 1 0 1 3 6 | 0 0 0 0 0 1 0 3 6 0 0 3 2 0 | 0 0 0 0 3 2 0 1 0 | * * 24 *
oxoo3ooxo xoxo .... oxox&#xt ♦ 4 12 | 2 24 12 12 6 24 | 0 24 12 12 48 12 4 0 24 24 | 0 8 12 0 6 0 24 24 24 4 0 12 0 6 | 4 0 0 6 12 0 4 0 0 | * * * 6
xo3oo3ox xo3oo3ox&#zx → height = 0
(tegum sum of 2 mutually bidual tetdips)
o.3o.3o. o.3o.3o. | 16 * ♦ 3 3 9 0 0 | 3 3 18 9 18 9 0 0 | 1 1 9 12 24 3 18 9 9 3 0 0 | 3 9 9 6 6 9 3 | 3 3 3 3
.o3.o3.o .o3.o3.o | * 16 ♦ 0 0 9 3 3 | 0 0 9 18 9 18 3 3 | 0 0 3 12 24 9 18 3 9 9 1 1 | 3 6 9 9 9 6 3 | 3 3 3 3
----------------------+-------+-----------------+-----------------------------+-----------------------------------+----------------------+----------
x. .. .. .. .. .. | 2 0 | 24 * * * * ♦ 2 0 6 0 0 0 0 0 | 1 0 6 3 6 0 0 0 0 0 0 0 | 3 6 3 2 0 0 0 | 3 2 1 0
.. .. .. x. .. .. | 2 0 | * 24 * * * ♦ 0 2 0 0 6 0 0 0 | 0 1 0 0 0 0 6 6 3 0 0 0 | 0 0 3 0 2 6 3 | 1 0 3 2
oo3oo3oo oo3oo3oo&#x | 1 1 | * * 144 * * ♦ 0 0 2 2 2 2 0 0 | 0 0 1 2 4 1 4 1 2 1 0 0 | 1 2 4 2 2 2 1 | 2 1 2 1
.. .. .x .. .. .. | 0 2 | * * * 24 * ♦ 0 0 0 6 0 0 2 0 | 0 0 0 3 0 6 6 0 0 0 1 0 | 3 0 3 0 6 2 0 | 3 0 1 2
.. .. .. .. .. .x | 0 2 | * * * * 24 ♦ 0 0 0 0 0 6 0 2 | 0 0 0 0 6 0 0 0 3 6 0 1 | 0 2 3 6 0 0 3 | 1 2 3 0
----------------------+-------+-----------------+-----------------------------+-----------------------------------+----------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 0 0 | 16 * * * * * * * | 1 0 3 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0
.. .. .. x.3o. .. | 3 0 | 0 3 0 0 0 | * 16 * * * * * * | 0 1 0 0 0 0 0 3 0 0 0 0 | 0 0 0 0 0 3 3 | 0 0 3 1
xo .. .. .. .. ..&#x | 2 1 | 1 0 2 0 0 | * * 144 * * * * * | 0 0 1 1 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.. .. ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * * 144 * * * * | 0 0 0 1 0 1 2 0 0 0 0 0 | 1 0 2 0 2 1 0 | 2 0 1 1
.. .. .. xo .. ..&#x | 2 1 | 0 1 2 0 0 | * * * * 144 * * * | 0 0 0 0 0 0 2 1 1 0 0 0 | 0 0 2 0 1 2 1 | 1 0 2 1
.. .. .. .. .. ox&#x | 1 2 | 0 0 2 0 1 | * * * * * 144 * * | 0 0 0 0 2 0 0 0 1 1 0 0 | 0 1 2 2 0 0 1 | 1 1 2 0
.. .o3.x .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * * 16 * | 0 0 0 0 0 3 0 0 0 0 1 0 | 3 0 0 0 3 0 0 | 3 0 0 1
.. .. .. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * 16 | 0 0 0 0 0 0 0 0 0 3 0 1 | 0 0 0 3 0 0 3 | 0 1 3 0
----------------------+-------+-----------------+-----------------------------+-----------------------------------+----------------------+----------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0
.. .. .. x.3o.3o. ♦ 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 0 0 | * 4 * * * * * * * * * * | 0 0 0 0 0 0 3 | 0 0 3 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3 0 3 0 0 | 1 0 3 0 0 0 0 0 | * * 48 * * * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
xo .. ox .. .. ..&#x ♦ 2 2 | 1 0 4 1 0 | 0 0 2 2 0 0 0 0 | * * * 72 * * * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
xo .. .. .. .. ox&#x ♦ 2 2 | 1 0 4 0 1 | 0 0 2 0 0 2 0 0 | * * * * 144 * * * * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.. oo3ox .. .. ..&#x ♦ 1 3 | 0 0 3 3 0 | 0 0 0 3 0 0 1 0 | * * * * * 48 * * * * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.. .. ox xo .. ..&#x ♦ 2 2 | 0 1 4 1 0 | 0 0 0 2 2 0 0 0 | * * * * * * 144 * * * * * | 0 0 1 0 1 1 0 | 1 0 1 1
.. .. .. xo3oo ..&#x ♦ 3 1 | 0 3 3 0 0 | 0 1 0 0 3 0 0 0 | * * * * * * * 48 * * * * | 0 0 0 0 0 2 1 | 0 0 2 1
.. .. .. xo .. ox&#x ♦ 2 2 | 0 1 4 0 1 | 0 0 0 0 2 2 0 0 | * * * * * * * * 72 * * * | 0 0 2 0 0 0 1 | 1 0 2 0
.. .. .. .. oo3ox&#x ♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 0 3 0 1 | * * * * * * * * * 48 * * | 0 0 0 2 0 0 1 | 0 1 2 0
.o3.o3.x .. .. .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 4 0 | * * * * * * * * * * 4 * | 3 0 0 0 0 0 0 | 3 0 0 0
.. .. .. .o3.o3.x ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 3 | 0 0 3 0
----------------------+-------+-----------------+-----------------------------+-----------------------------------+----------------------+----------
xo3oo3ox .. .. ..&#x ♦ 4 4 | 6 0 12 6 0 | 4 0 12 12 0 0 4 0 | 1 0 4 6 0 4 0 0 0 0 1 0 | 12 * * * * * * | 2 0 0 0
xo3oo .. .. .. ox&#x ♦ 3 2 | 3 0 6 0 1 | 1 0 6 0 0 3 0 0 | 0 0 2 0 3 0 0 0 0 0 0 0 | * 48 * * * * * | 1 1 0 0
xo .. ox xo .. ox&#zx ♦ 4 4 | 2 2 16 2 2 | 0 0 8 8 8 8 0 0 | 0 0 0 4 4 0 4 0 4 0 0 0 | * * 36 * * * * | 1 0 1 0
xo .. .. .. oo3ox&#x ♦ 2 3 | 1 0 6 0 3 | 0 0 3 0 0 6 0 1 | 0 0 0 0 3 0 0 0 0 2 0 0 | * * * 48 * * * | 0 1 1 0
.. oo3ox xo .. ..&#x ♦ 2 3 | 0 1 6 3 0 | 0 0 0 6 3 0 1 0 | 0 0 0 0 0 2 3 0 0 0 0 0 | * * * * 48 * * | 1 0 0 1
.. .. ox xo3oo ..&#x ♦ 3 2 | 0 3 6 1 0 | 0 1 0 3 6 0 0 0 | 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * 48 * | 0 0 1 1
.. .. .. xo3oo3ox&#x ♦ 4 4 | 0 6 12 0 6 | 0 4 0 0 12 12 0 4 | 0 1 0 0 0 0 0 4 6 4 0 1 | * * * * * * 12 | 0 0 2 0
----------------------+-------+-----------------+-----------------------------+-----------------------------------+----------------------+----------
xo3oo3ox xo .. ox&#zx ♦ 8 8 | 12 4 48 12 4 | 8 0 48 48 24 24 8 0 | 2 0 16 24 24 16 24 0 12 0 2 0 | 4 8 6 0 8 0 0 | 6 * * *
xo3oo .. .. oo3ox&#x ♦ 3 3 | 3 0 9 0 3 | 1 0 9 0 0 9 0 1 | 0 0 3 0 9 0 0 0 0 3 0 0 | 0 3 0 3 0 0 0 | * 16 * *
xo .. ox xo3oo3ox&#zx ♦ 8 8 | 4 12 48 4 12 | 0 8 24 24 48 48 0 8 | 0 2 0 12 24 0 24 16 24 16 0 2 | 0 0 6 8 0 8 4 | * * 6 *
.. oo3ox xo3oo ..&#x ♦ 3 3 | 0 3 9 3 0 | 0 1 0 9 9 0 1 0 | 0 0 0 0 0 3 9 3 0 0 0 0 | 0 0 0 0 3 3 0 | * * * 16
or
o.3o.3o. o.3o.3o. & | 32 ♦ 6 9 | 6 54 | 2 24 18 36 | 6 30 9 | 6 6
------------------------+----+--------+--------+----------------+-----------+------
x. .. .. .. .. .. & | 2 | 96 * ♦ 2 6 | 1 6 3 6 | 3 8 3 | 4 2
oo3oo3oo oo3oo3oo&#x | 2 | * 144 ♦ 0 8 | 0 4 4 8 | 2 8 4 | 4 2
------------------------+----+--------+--------+----------------+-----------+------
x.3o. .. .. .. .. & | 3 | 3 0 | 64 * | 1 3 0 0 | 3 3 0 | 3 1
xo .. .. .. .. ..&#x & | 3 | 1 2 | * 576 | 0 1 1 2 | 1 3 2 | 3 1
------------------------+----+--------+--------+----------------+-----------+------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 | 4 0 | 16 * * * | 3 0 0 | 3 0
xo3oo .. .. .. ..&#x & ♦ 4 | 3 3 | 1 3 | * 192 * * | 1 2 0 | 2 1
xo .. ox .. .. ..&#x & ♦ 4 | 2 4 | 0 4 | * * 144 * | 1 0 2 | 3 0
xo .. .. .. .. ox&#x & ♦ 4 | 2 4 | 0 4 | * * * 288 | 0 2 1 | 2 1
------------------------+----+--------+--------+----------------+-----------+------
xo3oo3ox .. .. ..&#x & ♦ 8 | 12 12 | 8 24 | 2 8 6 0 | 24 * * | 2 0
xo3oo .. .. .. ox&#x & ♦ 5 | 4 6 | 1 9 | 0 2 0 3 | * 192 * | 1 1
xo .. ox xo .. ox&#zx ♦ 8 | 8 16 | 0 32 | 0 0 8 8 | * * 36 | 2 0
------------------------+----+--------+--------+----------------+-----------+------
xo3oo3ox xo .. ox&#zx & ♦ 16 | 32 48 | 16 144 | 4 32 36 48 | 4 16 6 | 12 *
xo3oo .. .. oo3ox&#x & ♦ 6 | 6 9 | 2 18 | 0 6 0 9 | 0 6 0 | * 32
xxoo xoxo xoox oxxo oxox ooxx&#zx → all heights = 0
o... o... o... o... o... o... & | 32 ♦ 3 12 | 36 24 | 12 12 48 8 | 3 30 12 | 6 6
------------------------------------+----+--------+---------+--------------+-----------+------
x... .... .... .... .... .... & | 2 | 48 * ♦ 8 0 | 4 4 8 0 | 2 8 4 | 2 4
oo.. oo.. oo.. oo.. oo.. oo..&#x & | 2 | * 192 ♦ 4 4 | 2 2 10 2 | 1 8 5 | 2 4
------------------------------------+----+--------+---------+--------------+-----------+------
.... xo.. .... .... .... ....&#x & | 3 | 1 2 | 384 * | 1 1 2 0 | 1 3 2 | 1 3
ooo. ooo. ooo. ooo. ooo. ooo.&#x & | 3 | 0 3 | * 256 | 0 0 3 1 | 0 3 3 | 1 3
------------------------------------+----+--------+---------+--------------+-----------+------
.... xo.. .... ox.. .... ....&#x & ♦ 4 | 2 4 | 4 0 | 96 * * * | 1 2 0 | 0 3
.... xo.. .... .... ox.. ....&#x & ♦ 4 | 2 4 | 4 0 | * 96 * * | 1 0 2 | 1 2
.... .... xoo. .... .... ....&#x & ♦ 4 | 1 5 | 2 2 | * * 384 * | 0 2 1 | 1 2
oooo oooo oooo oooo oooo oooo&#x ♦ 4 | 0 6 | 0 4 | * * * 64 | 0 0 3 | 0 3
------------------------------------+----+--------+---------+--------------+-----------+------
.... xo.. xo.. ox.. ox.. ....&#zx & ♦ 8 | 8 16 | 32 0 | 8 8 0 0 | 12 * * | 0 2
.... .... xoo. .... oxo. ....&#x & ♦ 5 | 2 8 | 6 4 | 1 0 4 0 | * 192 * | 1 1
.... xoxo .... .... oxox ....&#xr & ♦ 8 | 4 20 | 16 16 | 0 4 8 4 | * * 48 | 0 2
------------------------------------+----+--------+---------+--------------+-----------+------
.... .... xoo. .... oxo. oox.&#x & ♦ 6 | 3 12 | 12 8 | 0 3 12 0 | 0 6 0 | 32 *
.... xoxo xoox oxxo oxox ....&#x & ♦ 16 | 16 64 | 96 64 | 24 16 64 16 | 2 16 8 | * 12 prism (AB)(CD)