cantitruncated-icositetrachoron prism
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | gricope (old: gripe) |
| Name |
great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism |
| Circumradius | sqrt[41+24 sqrt(2)]/2 = 4.328427 |
| Face vector | 1152, 2880, 2592, 1008, 146 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x4x3o . . . . . | 1152 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+------+------------------+-----------------------------+--------------------------+----------- x . . . . | 2 | 576 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 576 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 576 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 1152 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+------+------------------+-----------------------------+--------------------------+----------- x x . . . | 4 | 2 2 0 0 | 288 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 288 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 576 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 192 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 576 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x4x . | 8 | 0 0 4 4 | * * * * * 288 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 384 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+------+------------------+-----------------------------+--------------------------+----------- x x3x . . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 0 | 96 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 288 * * * * * | 1 1 0 0 x . x4x . ♦ 16 | 8 0 8 8 | 0 4 4 0 0 2 0 | * * 144 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 192 * * * | 0 1 1 0 . x3x4x . ♦ 48 | 0 24 24 24 | 0 0 0 8 12 6 0 | * * * * 48 * * | 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 192 * | 0 1 0 1 . . x4x3o ♦ 24 | 0 0 12 24 | 0 0 0 0 0 6 8 | * * * * * * 48 | 0 0 1 1 ----------+------+------------------+-----------------------------+--------------------------+----------- x x3x4x . ♦ 96 | 48 48 48 48 | 24 24 24 16 24 12 0 | 8 12 6 0 2 0 0 | 24 * * * x x . x3o ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 4 | 0 3 0 2 0 2 0 | * 96 * * x . x4x3o ♦ 48 | 24 0 24 48 | 0 12 24 0 0 12 16 | 0 0 6 8 0 0 2 | * * 24 * . x3x4x3o ♦ 576 | 0 288 288 576 | 0 0 0 96 288 144 192 | 0 0 0 0 24 96 24 | * * * 2
xx3xx4xx3oo&#x → height = 1
(grico || grico)
o.3o.4o.3o. | 576 * | 1 1 2 1 0 0 0 | 1 2 2 1 1 1 2 0 0 0 0 | 2 1 1 1 2 2 1 0 0 0 | 1 2 1 1 0
.o3.o4.o3.o | * 576 | 0 0 0 1 1 1 2 | 0 0 0 0 1 1 2 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 2 1 1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x. .. .. .. | 2 0 | 288 * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. x. .. .. | 2 0 | * 288 * * * * * | 1 0 2 0 0 1 0 0 0 0 0 | 2 0 1 1 0 2 0 0 0 0 | 1 2 0 1 0
.. .. x. .. | 2 0 | * * 576 * * * * | 0 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
oo3oo4oo3oo&#x | 1 1 | * * * 576 * * * | 0 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.x .. .. .. | 0 2 | * * * * 288 * * | 0 0 0 0 1 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 288 * | 0 0 0 0 0 1 0 1 0 2 0 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
.. .. .x .. | 0 2 | * * * * * * 576 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 96 * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
x. .. x. .. | 4 0 | 2 0 2 0 0 0 0 | * 288 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x.4x. .. | 8 0 | 0 4 4 0 0 0 0 | * * 144 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.3o. | 3 0 | 0 0 3 0 0 0 0 | * * * 192 * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 288 * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * 288 * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 576 * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * 96 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * 288 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x4.x .. | 0 8 | 0 0 0 0 0 4 4 | * * * * * * * * * 144 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * 192 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x.3x.4x. .. ♦ 48 0 | 24 24 24 0 0 0 0 | 8 12 6 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * | 1 1 0 0 0
x. .. x.3o. ♦ 6 0 | 3 0 6 0 0 0 0 | 0 3 0 2 0 0 0 0 0 0 0 | * 96 * * * * * * * * | 1 0 1 0 0
.. x.4x.3o. ♦ 24 0 | 0 12 24 0 0 0 0 | 0 0 6 8 0 0 0 0 0 0 0 | * * 24 * * * * * * * | 1 0 0 1 0
xx3xx .. ..&#x ♦ 6 6 | 3 3 0 6 3 3 0 | 1 0 0 0 3 3 0 1 0 0 0 | * * * 96 * * * * * * | 0 2 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 2 0 2 0 1 0 0 | * * * * 288 * * * * * | 0 1 1 0 0
.. xx4xx ..&#x ♦ 8 8 | 0 4 4 8 0 4 4 | 0 0 1 0 0 4 4 0 0 1 0 | * * * * * 144 * * * * | 0 1 0 1 0
.. .. xx3oo&#x ♦ 3 3 | 0 0 3 3 0 0 3 | 0 0 0 1 0 0 3 0 0 0 1 | * * * * * * 192 * * * | 0 0 1 1 0
.x3.x4.x .. ♦ 0 48 | 0 0 0 0 24 24 24 | 0 0 0 0 0 0 0 8 12 6 0 | * * * * * * * 24 * * | 0 1 0 0 1
.x .. .x3.o ♦ 0 6 | 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * 96 * | 0 0 1 0 1
.. .x4.x3.o ♦ 0 24 | 0 0 0 0 0 12 24 | 0 0 0 0 0 0 0 0 0 6 8 | * * * * * * * * * 24 | 0 0 0 1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x.3x.4x.3o. ♦ 576 0 | 288 288 576 0 0 0 0 | 96 288 144 192 0 0 0 0 0 0 0 | 24 96 24 0 0 0 0 0 0 0 | 1 * * * *
xx3xx4xx ..&#x ♦ 48 48 | 24 24 24 48 24 24 24 | 8 12 6 0 24 24 24 8 12 6 0 | 1 0 0 8 12 6 0 1 0 0 | * 24 * * *
xx .. xx3oo&#x ♦ 6 6 | 3 0 6 6 3 0 6 | 0 3 0 2 3 0 6 0 3 0 2 | 0 1 0 0 3 0 2 0 1 0 | * * 96 * *
.. xx4xx3oo&#x ♦ 24 24 | 0 12 24 24 0 12 24 | 0 0 6 8 0 12 24 0 0 6 8 | 0 0 1 0 0 6 8 0 0 1 | * * * 24 *
.x3.x4.x3.o ♦ 0 576 | 0 0 0 0 288 288 576 | 0 0 0 0 0 0 0 96 288 144 192 | 0 0 0 0 0 0 0 24 96 24 | * * * * 1
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