- segmentotera:
- tuttipa tope
- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | prippip |
| Name | prismatorhombated-pentachoron prism |
| Circumradius | sqrt(57/20) = 1.688194 |
| Volume | 237 sqrt(5)/32 = 16.560878 |
| Face vector | 120, 360, 390, 180, 32 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x3o3x . . . . . | 120 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+-----+---------------+-------------------------+----------------------------+------------ x . . . . | 2 | 60 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 60 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 120 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 120 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------+-------------------------+----------------------------+------------ x x . . . | 4 | 2 2 0 0 | 30 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 60 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 60 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 40 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 60 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 40 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 60 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 0 3 | * * * * * * * 40 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------+-------------------------+----------------------------+------------ x x3x . . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 0 0 | 20 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 30 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 20 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 30 * * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 20 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 10 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 20 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 20 * | 0 0 1 0 1 . . x3o3x ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * 10 | 0 0 0 1 1 ----------+-----+---------------+-------------------------+----------------------------+------------ x x3x3o . ♦ 24 | 12 12 24 0 | 6 12 0 8 0 8 0 0 | 4 0 4 0 0 2 0 0 0 | 5 * * * * x x3x . x ♦ 24 | 12 12 12 12 | 6 6 6 4 6 0 6 0 | 2 3 0 3 0 0 2 0 0 | * 10 * * * x x . o3x ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 0 4 | 0 3 0 0 2 0 0 2 0 | * * 10 * * x . x3o3x ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 12 8 | 0 0 4 6 4 0 0 0 2 | * * * 5 * . x3x3o3x ♦ 60 | 0 30 60 60 | 0 0 0 20 30 20 30 20 | 0 0 0 0 0 5 10 10 5 | * * * * 2
xx3xx3oo3xx&#x → height = 1
(prip || prip)
o.3o.3o.3o. | 60 * | 1 2 2 1 0 0 0 | 2 2 1 2 1 1 2 2 0 0 0 0 0 | 1 2 1 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0
.o3.o3.o3.o | * 60 | 0 0 0 1 1 2 2 | 0 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x. .. .. .. | 2 0 | 30 * * * * * * | 2 2 0 0 0 1 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. .. | 2 0 | * 60 * * * * * | 1 0 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * * 60 * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo3oo3oo3oo&#x | 1 1 | * * * 60 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 | 0 1 2 1 1 0
.x .. .. .. | 0 2 | * * * * 30 * * | 0 0 0 0 0 1 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 60 * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * * * 60 | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 20 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 30 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 20 * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 0 2 2 0 0 0 0 | * * * 30 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.3x. | 3 0 | 0 0 3 0 0 0 0 | * * * * 20 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * * 30 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * * 60 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 60 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * 20 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 30 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 20 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o3.x | 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 20 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3o. .. ♦ 12 0 | 6 12 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * | 1 1 0 0 0 0
x.3x. .. x. ♦ 12 0 | 6 6 6 0 0 0 0 | 2 3 0 3 0 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x. ♦ 6 0 | 3 0 6 0 0 0 0 | 0 3 0 0 2 0 0 0 0 0 0 0 0 | * * 10 * * * * * * * * * * | 1 0 0 1 0 0
.. x.3o.3x. ♦ 12 0 | 0 12 12 0 0 0 0 | 0 0 4 6 4 0 0 0 0 0 0 0 0 | * * * 5 * * * * * * * * * | 1 0 0 0 1 0
xx3xx .. ..&#x ♦ 6 6 | 3 3 0 6 3 3 0 | 1 0 0 0 0 3 3 0 1 0 0 0 0 | * * * * 20 * * * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 30 * * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 0 3 0 0 0 1 0 0 | * * * * * * 20 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 1 0 0 2 2 0 0 0 1 0 | * * * * * * * 30 * * * * * | 0 0 1 0 1 0
.. .. oo3xx&#x ♦ 3 3 | 0 0 3 3 0 0 3 | 0 0 0 0 1 0 0 3 0 0 0 0 1 | * * * * * * * * 20 * * * * | 0 0 0 1 1 0
.x3.x3.o .. ♦ 0 12 | 0 0 0 0 6 12 0 | 0 0 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * 5 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * * * 10 * * | 0 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * * 10 * | 0 0 0 1 0 1
.. .x3.o3.x ♦ 0 12 | 0 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * 5 | 0 0 0 0 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3o.3x. ♦ 60 0 | 30 60 60 0 0 0 0 | 20 30 20 30 20 0 0 0 0 0 0 0 0 | 5 10 10 5 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xx3oo ..&#x ♦ 12 12 | 6 12 0 12 6 12 0 | 4 0 4 0 0 6 12 0 4 0 4 0 0 | 1 0 0 0 4 0 4 0 0 1 0 0 0 | * 5 * * * *
xx3xx .. xx&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 2 3 0 3 0 6 6 6 2 3 0 3 0 | 0 1 0 0 2 3 0 3 0 0 1 0 0 | * * 10 * * *
xx .. oo3xx&#x ♦ 6 6 | 3 0 6 6 3 0 6 | 0 3 0 0 2 3 0 6 0 3 0 0 2 | 0 0 1 0 0 3 0 0 2 0 0 1 0 | * * * 10 * *
.. xx3oo3xx&#x ♦ 12 12 | 0 12 12 12 0 12 12 | 0 0 4 6 4 0 12 12 0 0 4 6 4 | 0 0 0 1 0 0 4 6 4 0 0 0 1 | * * * * 5 *
.x3.x3.o3.x ♦ 0 60 | 0 0 0 0 30 60 60 | 0 0 0 0 0 0 0 0 20 30 20 30 20 | 0 0 0 0 0 0 0 0 0 5 10 10 5 | * * * * * 1
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