- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | grippip |
| Name | great-rhombated-pentachoron prism |
| Circumradius | sqrt(73/20) = 1.910497 |
| Face vector | 120, 300, 280, 120, 22 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x3x3o . . . . . | 120 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+-----+--------------+----------------------+----------------------+--------- x . . . . | 2 | 60 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 60 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 60 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 120 | 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 | 30 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 30 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 60 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 20 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 60 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 40 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 40 | 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 | 10 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 30 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 20 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 20 * * * | 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 10 * * | 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 20 * | 0 1 0 1 . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 10 | 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 | 5 * * * x x . x3o ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 4 | 0 3 0 2 0 2 0 | * 10 * * x . x3x3o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 5 * . x3x3x3o ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 20 | 0 0 0 0 5 10 5 | * * * 2
xx3xx3xx3oo&#x → height = 1
(grip || grip)
o.3o.3o.3o. | 60 * | 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.o3.o3.o | * 60 | 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 | 30 * * * * * * | 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 | * 30 * * * * * | 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 | * * 60 * * * * | 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
oo3oo3oo3oo&#x | 1 1 | * * * 60 * * * | 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 | * * * * 30 * * | 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 | * * * * * 30 * | 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 | * * * * * * 60 | 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 | 10 * * * * * * * * * * | 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 | * 30 * * * * * * * * * | 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 | * * 20 * * * * * * * * | 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 | * * * 20 * * * * * * * | 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 | * * * * 30 * * * * * * | 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 | * * * * * 30 * * * * * | 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 | * * * * * * 60 * * * * | 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 | * * * * * * * 10 * * * | 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 | * * * * * * * * 30 * * | 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 | * * * * * * * * * 20 * | 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 | * * * * * * * * * * 20 | 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 | 5 * * * * * * * * * | 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 | * 10 * * * * * * * * | 1 0 1 0 0
.. x.3x.3o. ♦ 12 0 | 0 6 12 0 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 | * * 5 * * * * * * * | 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 | * * * 10 * * * * * * | 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 | * * * * 30 * * * * * | 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 | * * * * * 20 * * * * | 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 | * * * * * * 20 * * * | 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 | * * * * * * * 5 * * | 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 | * * * * * * * * 10 * | 0 0 1 0 1
.. .x3.x3.o ♦ 0 12 | 0 0 0 0 0 6 12 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * 5 | 0 0 0 1 1
---------------+-------+----------------------+----------------------------------+---------------------------+-----------
x.3x.3x.3o. ♦ 60 0 | 30 30 60 0 0 0 0 | 10 30 20 20 0 0 0 0 0 0 0 | 5 10 5 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 | * 5 * * *
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 | * * 10 * *
.. xx3xx3oo&#x ♦ 12 12 | 0 6 12 12 0 6 12 | 0 0 4 4 0 6 12 0 0 4 4 | 0 0 1 0 0 4 4 0 0 1 | * * * 5 *
.x3.x3.x3.o ♦ 0 60 | 0 0 0 0 30 30 60 | 0 0 0 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 5 10 5 | * * * * 1
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