| Acronym | hexaoctaco tettic |
| Name |
(hex, octaco)-disphenoid, (oct, co, hex) trigonic, (tet, oct, dual tet, co) tetrahedric |
| Circumradius | 1 |
|
Lace city in approx. ASCII-art |
x3o3o
(1)
o3o3x
(3)
x3o3x
(4)
o3x3o
(2)
|
| Face vector | 26, 132, 258, 232, 98, 18 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ooxx3oxoo3xoox&#x → height(1,2) = height(1,4) = height(2,3) = height(3,4) = sqrt(5/8) = 0.790569
height(1,3) = height(2,4) = height(13,2) = height(13,4) = 1/sqrt(2) = 0.707107
height(12,4) = height(23,4) = sqrt(2/5) = 0.632456
height(13,24) = sqrt(3/8) = 0.612372
height(12,34) = height(23,14) = 1/2 = 0.5
...
o...3o...3o... & | 8 * * | 3 3 3 3 0 0 0 | 3 3 3 6 6 9 3 3 6 0 0 0 0 0 | 1 1 3 9 3 6 3 3 6 4 3 9 1 3 3 0 0 0 0 | 1 4 3 9 3 1 3 3 1 4 3 1 0 | 1 4 3 1 1
.o..3.o..3.o.. | * 6 * | 0 4 0 0 4 4 0 | 0 8 2 4 8 0 0 0 0 4 4 4 0 0 | 0 4 4 4 4 4 4 8 4 0 0 0 0 0 0 1 4 1 0 | 2 4 1 4 4 4 2 4 0 0 0 0 1 | 1 4 1 2 0
...o3...o3...o | * * 12 | 0 0 0 2 0 2 4 | 0 0 0 0 4 0 1 4 4 0 4 1 2 2 | 0 0 0 0 0 2 4 2 4 0 0 4 2 4 2 0 2 2 1 | 0 0 0 4 1 2 4 2 0 2 2 2 1 | 0 2 2 2 1
--------------------+--------+----------------------+---------------------------------------+-----------------------------------------------+------------------------------+----------
.... .... x... & | 2 0 0 | 12 * * * * * * | 2 0 1 0 0 2 0 0 2 0 0 0 0 0 | 1 0 2 2 0 0 0 0 2 2 1 2 0 1 2 0 0 0 0 | 1 2 1 2 0 0 1 2 1 2 1 1 0 | 1 2 1 1 1
oo..3oo..3oo..&#x & | 1 1 0 | * 24 * * * * * | 0 2 1 2 2 0 0 0 0 0 0 0 0 0 | 0 1 2 3 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 | 1 3 1 3 2 1 1 2 0 0 0 0 0 | 1 3 1 1 0
o.o.3o.o.3o.o.&#x | 2 0 0 | * * 12 * * * * | 0 0 0 2 0 4 1 0 0 0 0 0 0 0 | 0 0 0 4 1 2 0 0 0 2 2 4 0 0 0 0 0 0 0 | 0 2 2 4 1 0 0 0 1 2 2 0 0 | 1 2 2 0 1
o..o3o..o3o..o&#x & | 1 0 1 | * * * 24 * * * | 0 0 0 0 2 0 1 2 2 0 0 0 0 0 | 0 0 0 0 0 2 2 1 2 0 0 4 1 2 1 0 0 0 0 | 0 0 0 4 1 1 2 1 0 2 2 1 0 | 0 2 2 1 1
.... .x.. .... | 0 2 0 | * * * * 12 * * | 0 2 0 0 0 0 0 0 0 2 0 1 0 0 | 0 2 2 0 1 0 0 2 0 0 0 0 0 0 0 1 2 0 0 | 2 2 0 0 1 2 0 2 0 0 0 0 1 | 1 2 0 2 0
.o.o3.o.o3.o.o&#x | 0 1 1 | * * * * * 24 * | 0 0 0 0 2 0 0 0 0 0 2 1 0 0 | 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 2 1 0 | 0 0 0 2 1 2 2 2 0 0 0 0 1 | 0 2 1 2 0
...x .... .... & | 0 0 2 | * * * * * * 24 | 0 0 0 0 0 0 0 1 1 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 0 0 1 1 2 1 0 1 1 1 | 0 0 0 1 0 1 2 1 0 1 1 2 1 | 0 1 1 2 1
--------------------+--------+----------------------+---------------------------------------+-----------------------------------------------+------------------------------+----------
.... o...3x... & | 3 0 0 | 3 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 1 1 0 0 0 0 0 1 1 1 0 1 0 | 1 1 0 1 1
.... ox.. ....&#x & | 1 2 0 | 0 2 0 0 1 0 0 | * 24 * * * * * * * * * * * * | 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 1 1 0 1 0 0 0 0 0 | 1 2 0 1 0
.... .... xo..&#x & | 2 1 0 | 1 2 0 0 0 0 0 | * * 12 * * * * * * * * * * * | 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 1 2 0 0 0 0 0 | 1 2 1 1 0
ooo.3ooo.3ooo.&#x | 2 1 0 | 0 2 1 0 0 0 0 | * * * 24 * * * * * * * * * * | 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 2 1 0 0 0 0 0 0 0 0 | 1 2 1 0 0
oo.o3oo.o3oo.o&#x & | 1 1 1 | 0 1 0 1 0 1 0 | * * * * 48 * * * * * * * * * | 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 1 1 1 1 0 0 0 0 0 | 0 2 1 1 0
o.x. .... ....&#x & | 3 0 0 | 1 0 2 0 0 0 0 | * * * * * 24 * * * * * * * * | 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 1 1 1 0 0 | 1 1 1 0 1
o.oo3o.oo3o.oo&#x | 2 0 1 | 0 0 1 2 0 0 0 | * * * * * * 12 * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 4 0 0 0 0 0 0 0 | 0 0 0 4 1 0 0 0 0 2 2 0 0 | 0 2 2 0 1
o..x .... ....&#x & | 1 0 2 | 0 0 0 2 0 0 1 | * * * * * * * 24 * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 0 1 0 1 1 0 0 1 1 1 0 | 0 1 1 1 1
.... .... x..x&#x & | 2 0 2 | 1 0 0 2 0 0 1 | * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 | 0 0 0 1 0 0 1 1 0 1 1 1 0 | 0 1 1 1 1
.o..3.x.. .... & | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * * * * * 8 * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 | 2 1 0 0 0 1 0 1 0 0 0 0 1 | 1 1 0 2 0
.o.x .... ....&#x & | 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 | 0 0 0 1 0 1 2 1 0 0 0 0 1 | 0 1 1 2 0
.... .x.o ....&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 | 0 0 0 0 1 2 0 2 0 0 0 0 1 | 0 2 0 2 0
...x3...o .... & | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 0 2 1 | 0 1 0 2 1
...x .... ...x | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 | 0 0 0 0 0 0 2 0 0 0 1 2 1 | 0 0 1 2 1
--------------------+--------+----------------------+---------------------------------------+-----------------------------------------------+------------------------------+----------
o...3o...3x... & ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 1
oo..3ox.. ....&#x & ♦ 1 3 0 | 0 3 0 0 3 0 0 | 0 3 0 0 0 0 0 0 0 1 0 0 0 0 | * 8 * * * * * * * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0
.... ox..3xo..&#x & ♦ 3 3 0 | 3 6 0 0 3 0 0 | 1 3 3 0 0 0 0 0 0 1 0 0 0 0 | * * 8 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 1 0 1 0
oox. .... ....&#x & ♦ 3 1 0 | 1 3 2 0 0 0 0 | 0 0 1 2 0 1 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0
.... oxo. ....&#x ♦ 2 2 0 | 0 4 1 0 1 0 0 | 0 2 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * * | 0 2 0 0 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oooo3oooo3oooo&#x ♦ 2 1 1 | 0 2 1 2 0 1 0 | 0 0 0 1 2 0 1 0 0 0 0 0 0 0 | * * * * * 24 * * * * * * * * * * * * * | 0 0 0 2 1 0 0 0 0 0 0 0 0 | 0 2 1 0 0
oo.x .... ....&#x & ♦ 1 1 2 | 0 1 0 2 0 2 1 | 0 0 0 0 2 0 0 1 0 0 1 0 0 0 | * * * * * * 24 * * * * * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 1 1 1 0
.... ox.o ....&#x & ♦ 1 2 1 | 0 2 0 1 1 2 0 | 0 1 0 0 2 0 0 0 0 0 0 1 0 0 | * * * * * * * 24 * * * * * * * * * * * | 0 0 0 0 1 1 0 1 0 0 0 0 0 | 0 2 0 1 0
.... .... xo.x&#x & ♦ 2 1 2 | 1 2 0 2 0 2 1 | 0 0 1 0 2 0 0 0 1 0 1 0 0 0 | * * * * * * * * 24 * * * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 1 0
o.x.3o.o. ....&#x & ♦ 4 0 0 | 3 0 3 0 0 0 0 | 1 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * * 8 * * * * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 1
o.x. .... x.o.&#x ♦ 4 0 0 | 2 0 4 0 0 0 0 | 0 0 0 0 0 4 0 0 0 0 0 0 0 0 | * * * * * * * * * * 6 * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 1
o.xx .... ....&#x & ♦ 3 0 2 | 1 0 2 4 0 0 1 | 0 0 0 0 0 1 2 1 1 0 0 0 0 0 | * * * * * * * * * * * 24 * * * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 1
o..x3o..o ....&#x & ♦ 1 0 3 | 0 0 0 3 0 0 3 | 0 0 0 0 0 0 0 3 0 0 0 0 1 0 | * * * * * * * * * * * * 8 * * * * * * | 0 0 0 0 0 1 0 0 0 1 0 1 0 | 0 1 0 1 1
o..x .... x..x&#x & ♦ 2 0 4 | 1 0 0 4 0 0 4 | 0 0 0 0 0 0 0 2 2 0 0 0 0 1 | * * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 1
.... o..o3x..x&#x & ♦ 3 0 3 | 3 0 0 3 0 0 3 | 1 0 0 0 0 0 0 0 3 0 0 0 1 0 | * * * * * * * * * * * * * * 8 * * * * | 0 0 0 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
.o..3.x..3.o.. ♦ 0 6 0 | 0 0 0 0 12 0 0 | 0 0 0 0 0 0 0 0 0 8 0 0 0 0 | * * * * * * * * * * * * * * * 1 * * * | 2 0 0 0 0 0 0 0 0 0 0 0 1 | 1 0 0 2 0
.o.x3.x.o ....&#x & ♦ 0 3 3 | 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 1 3 3 1 0 | * * * * * * * * * * * * * * * * 8 * * | 0 0 0 0 0 1 0 1 0 0 0 0 1 | 0 1 0 2 0
.o.x .... .o.x&#x ♦ 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 0 0 0 0 4 0 0 1 | * * * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 2 0 0 0 0 0 1 | 0 0 1 2 0
...x3...o3...x ♦ 0 0 12 | 0 0 0 0 0 0 24 | 0 0 0 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 2 1
--------------------+--------+----------------------+---------------------------------------+-----------------------------------------------+------------------------------+----------
oo..3ox..3xo..&#x & ♦ 4 6 0 | 6 12 0 0 12 0 0 | 4 12 6 0 0 0 0 0 0 8 0 0 0 0 | 1 4 4 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2 * * * * * * * * * * * * | 1 0 0 1 0
oox.3oxo. ....&#x & ♦ 4 3 0 | 3 9 3 0 3 0 0 | 1 6 3 6 0 3 0 0 0 1 0 0 0 0 | 0 1 1 3 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * | 1 1 0 0 0
oox. .... xoo.&#x ♦ 4 1 0 | 2 4 4 0 0 0 0 | 0 0 2 4 0 4 0 0 0 0 0 0 0 0 | 0 0 0 4 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * | 1 0 1 0 0
ooxx .... ....&#x & ♦ 3 1 2 | 1 3 2 4 0 2 1 | 0 0 1 2 4 1 2 1 1 0 1 0 0 0 | 0 0 0 1 0 2 1 0 1 0 0 1 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 1 0 0
.... oxoo ....&#x ♦ 2 2 1 | 0 4 1 2 1 2 0 | 0 2 0 2 4 0 1 0 0 0 0 1 0 0 | 0 0 0 0 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * | 0 2 0 0 0
oo.x3ox.o ....&#x & ♦ 1 3 3 | 0 3 0 3 3 6 3 | 0 3 0 0 6 0 0 3 0 1 3 3 1 0 | 0 1 0 0 0 0 3 3 0 0 0 0 1 0 0 0 1 0 0 | * * * * * 8 * * * * * * * | 0 1 0 1 0
oo.x .... xo.x&#x & ♦ 2 1 4 | 1 2 0 4 0 4 4 | 0 0 1 0 4 0 0 2 2 0 4 0 0 1 | 0 0 0 0 0 0 2 0 2 0 0 0 0 1 0 0 0 1 0 | * * * * * * 12 * * * * * * | 0 0 1 1 0
.... ox.o3xo.x&#x & ♦ 3 3 3 | 3 6 0 3 3 6 3 | 1 3 3 0 6 0 0 0 3 1 3 3 1 0 | 0 0 1 0 0 0 0 3 3 0 0 0 0 0 1 0 1 0 0 | * * * * * * * 8 * * * * * | 0 1 0 1 0
o.x.3o.o.3x.o.&#x ♦ 8 0 0 | 12 0 12 0 0 0 0 | 8 0 0 0 0 24 0 0 0 0 0 0 0 0 | 2 0 0 0 0 0 0 0 0 8 6 0 0 0 0 0 0 0 0 | * * * * * * * * 1 * * * * | 1 0 0 0 1
o.xx3o.oo ....&#x & ♦ 4 0 3 | 3 0 3 6 0 0 3 | 1 0 0 0 0 3 3 3 3 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 1 0 3 1 0 1 0 0 0 0 | * * * * * * * * * 8 * * * | 0 1 0 0 1
o.xx .... x.ox&#x ♦ 4 0 4 | 2 0 4 8 0 0 4 | 0 0 0 0 0 4 4 4 4 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 1 4 0 2 0 0 0 0 0 | * * * * * * * * * * 6 * * | 0 0 1 0 1
o..x3o..o3x..x&#x & ♦ 4 0 12 | 6 0 0 12 0 0 24 | 4 0 0 0 0 0 0 12 12 0 0 0 8 6 | 1 0 0 0 0 0 0 0 0 0 0 0 4 6 4 0 0 0 1 | * * * * * * * * * * * 2 * | 0 0 0 1 1
.o.x3.x.o3.o.x&#x ♦ 0 6 12 | 0 0 0 0 12 24 24 | 0 0 0 0 0 0 0 0 0 8 24 12 8 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 6 1 | * * * * * * * * * * * * 1 | 0 0 0 2 0
--------------------+--------+----------------------+---------------------------------------+-----------------------------------------------+------------------------------+----------
oox.3oxo.3xoo.&#x ♦ 8 6 0 | 12 24 12 0 12 0 0 | 8 24 12 24 0 24 0 0 0 8 0 0 0 0 | 2 8 8 24 12 0 0 0 0 8 6 0 0 0 0 1 0 0 0 | 2 8 6 0 0 0 0 0 1 0 0 0 0 | 1 * * * *
ooxx3oxoo ....&#x & ♦ 4 3 3 | 3 9 3 6 3 6 3 | 1 6 3 6 12 3 3 3 3 1 3 3 1 0 | 0 1 1 3 3 6 3 6 3 1 0 3 1 0 1 0 1 0 0 | 0 1 0 3 3 1 0 1 0 1 0 0 0 | * 8 * * *
ooxx .... xoox&#x ♦ 4 1 4 | 2 4 4 8 0 4 4 | 0 0 2 4 8 4 4 4 4 0 4 0 0 1 | 0 0 0 4 0 4 4 0 4 0 1 4 0 2 0 0 0 1 0 | 0 0 1 4 0 0 2 0 0 0 1 0 0 | * * 6 * *
oo.x3ox.o3xo.x&#x & ♦ 4 6 12 | 6 12 0 12 12 24 24 | 4 12 6 0 24 0 0 12 12 8 24 12 8 6 | 1 4 4 0 0 0 12 12 12 0 0 0 4 6 4 1 8 6 1 | 1 0 0 0 0 4 6 4 0 0 0 1 1 | * * * 2 *
o.xx3o.oo3x.ox&#x ♦ 8 0 12 | 12 0 12 24 0 0 24 | 8 0 0 0 0 24 12 24 24 0 0 0 8 6 | 2 0 0 0 0 0 0 0 0 8 6 24 8 12 8 0 0 0 1 | 0 0 0 0 0 0 0 0 1 8 6 2 0 | * * * * 1
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