- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | grixip |
| Name | great-rhombated-hexacosachoron prism |
| Circumradius | sqrt[173+72 sqrt(5)]/2 = 9.137791 |
| Face vector | 14400, 36000, 31680, 11520, 1442 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x3x5o . . . . . | 14400 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+-------+----------------------+------------------------------------+-----------------------------------+-------------- x . . . . | 2 | 7200 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 7200 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 7200 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 14400 | 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 | 3600 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 3600 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 7200 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 2400 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 7200 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 4800 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x5o | 5 | 0 0 0 5 | * * * * * * 2880 | 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 | 1200 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 3600 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 2400 * * * * | 1 0 1 0 x . . x5o ♦ 10 | 5 0 0 10 | 0 0 5 0 0 0 2 | * * * 1440 * * * | 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 1200 * * | 1 0 0 1 . x . x5o ♦ 10 | 0 5 0 10 | 0 0 0 0 5 0 2 | * * * * * 1440 * | 0 1 0 1 . . x3x5o ♦ 60 | 0 0 30 60 | 0 0 0 0 0 20 12 | * * * * * * 240 | 0 0 1 1 ----------+-------+----------------------+------------------------------------+-----------------------------------+-------------- x x3x3x . ♦ 48 | 24 24 24 24 | 12 12 12 8 12 8 0 | 4 6 4 0 2 0 0 | 600 * * * x x . x5o ♦ 20 | 10 10 0 20 | 5 0 10 0 10 0 4 | 0 5 0 2 0 2 0 | * 720 * * x . x3x5o ♦ 120 | 60 0 60 120 | 0 30 60 0 0 40 24 | 0 0 20 12 0 0 2 | * * 120 * . x3x3x5o ♦ 7200 | 0 3600 3600 7200 | 0 0 0 1200 3600 2400 1440 | 0 0 0 0 600 720 120 | * * * 2
xx3xx3xx5oo&#x → height = 1
(grix || grix)
o.3o.3o.5o. | 7200 * | 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 | 2 2 1 1 0
.o3.o3.o5.o | * 7200 | 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 2
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x. .. .. .. | 2 0 | 3600 * * * * * * | 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 | * 3600 * * * * * | 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 | * * 7200 * * * * | 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
oo3oo3oo5oo&#x | 1 1 | * * * 7200 * * * | 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 | * * * * 3600 * * | 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 | * * * * * 3600 * | 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 | * * * * * * 7200 | 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 | 1200 * * * * * * * * * * | 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 | * 3600 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x.3x. .. | 6 0 | 0 3 3 0 0 0 0 | * * 2400 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.5o. | 5 0 | 0 0 5 0 0 0 0 | * * * 1440 * * * * * * * | 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 | * * * * 3600 * * * * * * | 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 | * * * * * 3600 * * * * * | 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 | * * * * * * 7200 * * * * | 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 | * * * * * * * 1200 * * * | 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 | * * * * * * * * 3600 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * 2400 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x5.o | 0 5 | 0 0 0 0 0 0 5 | * * * * * * * * * * 1440 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x.3x.3x. .. ♦ 24 0 | 12 12 12 0 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 | 600 * * * * * * * * * | 1 1 0 0 0
x. .. x.5o. ♦ 10 0 | 5 0 10 0 0 0 0 | 0 5 0 2 0 0 0 0 0 0 0 | * 720 * * * * * * * * | 1 0 1 0 0
.. x.3x.5o. ♦ 60 0 | 0 30 60 0 0 0 0 | 0 0 20 12 0 0 0 0 0 0 0 | * * 120 * * * * * * * | 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 | * * * 1200 * * * * * * | 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 | * * * * 3600 * * * * * | 0 1 1 0 0
.. xx3xx ..&#x ♦ 6 6 | 0 3 3 6 0 3 3 | 0 0 1 0 0 3 3 0 0 1 0 | * * * * * 2400 * * * * | 0 1 0 1 0
.. .. xx5oo&#x ♦ 5 5 | 0 0 5 5 0 0 5 | 0 0 0 1 0 0 5 0 0 0 1 | * * * * * * 1440 * * * | 0 0 1 1 0
.x3.x3.x .. ♦ 0 24 | 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * 600 * * | 0 1 0 0 1
.x .. .x5.o ♦ 0 10 | 0 0 0 0 5 0 10 | 0 0 0 0 0 0 0 0 5 0 2 | * * * * * * * * 720 * | 0 0 1 0 1
.. .x3.x5.o ♦ 0 60 | 0 0 0 0 0 30 60 | 0 0 0 0 0 0 0 0 0 20 12 | * * * * * * * * * 120 | 0 0 0 1 1
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x.3x.3x.5o. ♦ 3600 0 | 3600 3600 7200 0 0 0 0 | 1200 3600 2400 1440 0 0 0 0 0 0 0 | 600 720 120 0 0 0 0 0 0 0 | 1 * * * *
xx3xx3xx ..&#x ♦ 24 24 | 12 12 12 24 12 12 12 | 4 6 4 0 12 12 12 4 6 4 0 | 1 0 0 4 6 4 0 1 0 0 | * 600 * * *
xx .. xx5oo&#x ♦ 10 10 | 5 0 10 10 5 0 10 | 0 5 0 2 5 0 10 0 5 0 2 | 0 1 0 0 5 0 2 0 1 0 | * * 720 * *
.. xx3xx5oo&#x ♦ 60 60 | 0 30 60 60 0 30 60 | 0 0 20 12 0 30 60 0 0 20 12 | 0 0 1 0 0 20 12 0 0 1 | * * * 120 *
.x3.x3.x5.o ♦ 0 3600 | 0 0 0 0 3600 3600 7200 | 0 0 0 0 0 0 0 1200 3600 2400 1440 | 0 0 0 0 0 0 0 600 720 120 | * * * * 1
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