- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | thipe |
| Name | truncated-hecatonicosachoron prism |
| Circumradius | sqrt[137+60 sqrt(5)]/2 = 8.233530 |
| Face vector | 4800, 12000, 11040, 4560, 722 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x o3o3x5x . . . . . | 4800 | 1 3 1 | 3 1 3 3 | 3 3 1 3 | 1 3 1 ----------+------+----------------+---------------------+-------------------+---------- x . . . . | 2 | 2400 * * | 3 1 0 0 | 3 3 0 0 | 1 3 0 . . . x . | 2 | * 7200 * | 1 0 2 1 | 2 1 1 2 | 1 2 1 . . . . x | 2 | * * 2400 | 0 1 0 3 | 0 3 0 3 | 0 3 1 ----------+------+----------------+---------------------+-------------------+---------- x . . x . | 4 | 2 2 0 | 3600 * * * | 2 1 0 0 | 1 2 0 x . . . x | 4 | 2 0 2 | * 1200 * * | 0 3 0 0 | 0 3 0 . . o3x . | 3 | 0 3 0 | * * 4800 * | 1 0 1 1 | 1 1 1 . . . x5x | 10 | 0 5 5 | * * * 1440 | 0 1 0 2 | 0 2 1 ----------+------+----------------+---------------------+-------------------+---------- x . o3x . ♦ 6 | 3 6 0 | 3 0 2 0 | 2400 * * * | 1 1 0 x . . x5x ♦ 20 | 10 10 10 | 5 5 0 2 | * 720 * * | 0 2 0 . o3o3x . ♦ 4 | 0 6 0 | 0 0 4 0 | * * 1200 * | 1 0 1 . . o3x5x ♦ 60 | 0 60 30 | 0 0 20 12 | * * * 240 | 0 1 1 ----------+------+----------------+---------------------+-------------------+---------- x o3o3x . ♦ 8 | 4 12 0 | 6 0 8 0 | 4 0 2 0 | 600 * * x . o3x5x ♦ 120 | 60 120 60 | 60 30 40 24 | 20 12 0 2 | * 120 * . o3o3x5x ♦ 2400 | 0 3600 1200 | 0 0 2400 720 | 0 0 600 120 | * * 2
oo3oo3xx5xx&#x → height = 1
(thi || thi)
o.3o.3o.5o. | 2400 * | 3 1 1 0 0 | 3 3 3 1 0 0 | 1 3 3 3 0 0 | 1 1 3 0
.o3.o3.o5.o | * 2400 | 0 0 1 3 1 | 0 0 3 1 3 3 | 0 0 3 3 1 3 | 0 1 3 1
---------------+-----------+--------------------------+-----------------------------+--------------------------+------------
.. .. x. .. | 2 0 | 3600 * * * * | 2 1 1 0 0 0 | 1 2 2 1 0 0 | 1 1 2 0
.. .. .. x. | 2 0 | * 1200 * * * | 0 3 0 1 0 0 | 0 3 0 3 0 0 | 1 0 3 0
oo3oo3oo5oo&#x | 1 1 | * * 2400 * * | 0 0 3 1 0 0 | 0 0 3 3 0 0 | 0 1 3 0
.. .. .x .. | 0 2 | * * * 3600 * | 0 0 1 0 2 1 | 0 0 2 1 1 2 | 0 1 2 1
.. .. .. .x | 0 2 | * * * * 1200 | 0 0 0 1 0 3 | 0 0 0 3 0 3 | 0 0 3 1
---------------+-----------+--------------------------+-----------------------------+--------------------------+------------
.. o.3x. .. | 3 0 | 3 0 0 0 0 | 2400 * * * * * | 1 1 1 0 0 0 | 1 1 1 0
.. .. x.5x. | 10 0 | 5 5 0 0 0 | * 720 * * * * | 0 2 0 1 0 0 | 1 0 2 0
.. .. xx ..&#x | 2 2 | 1 0 2 1 0 | * * 3600 * * * | 0 0 2 1 0 0 | 0 1 2 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * 1200 * * | 0 0 0 3 0 0 | 0 0 3 0
.. .o3.x .. | 0 3 | 0 0 0 3 0 | * * * * 2400 * | 0 0 1 0 1 1 | 0 1 1 1
.. .. .x5.x | 0 10 | 0 0 0 5 5 | * * * * * 720 | 0 0 0 1 0 2 | 0 0 2 1
---------------+-----------+--------------------------+-----------------------------+--------------------------+------------
o.3o.3x. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 | 600 * * * * * | 1 1 0 0
.. o.3x.5x. ♦ 60 0 | 60 30 0 0 0 | 20 12 0 0 0 0 | * 120 * * * * | 1 0 1 0
.. oo3xx ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 3 0 1 0 | * * 2400 * * * | 0 1 1 0
.. .. xx5xx&#x ♦ 10 10 | 5 5 10 5 5 | 0 1 5 5 0 1 | * * * 720 * * | 0 0 2 0
.o3.o3.x .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 4 0 | * * * * 600 * | 0 1 0 1
.. .o3.x5.x ♦ 0 60 | 0 0 0 60 30 | 0 0 0 0 20 12 | * * * * * 120 | 0 0 1 1
---------------+-----------+--------------------------+-----------------------------+--------------------------+------------
o.3o.3x.5x. ♦ 2400 0 | 3600 1200 0 0 0 | 2400 720 0 0 0 0 | 600 120 0 0 0 0 | 1 * * *
oo3oo3xx ..&#x ♦ 4 4 | 6 0 4 6 0 | 4 0 6 0 4 0 | 1 0 4 0 1 0 | * 600 * *
.. oo3xx5xx&#x ♦ 60 60 | 60 30 60 60 30 | 20 12 60 30 20 12 | 0 1 20 12 0 1 | * * 120 *
.o3.o3.x5.x ♦ 0 2400 | 0 0 0 3600 1200 | 0 0 0 0 2400 720 | 0 0 0 0 600 120 | * * * 1
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