bitruncated-hecatonicosachoron prism,
bitruncated-hexacosachoron prism
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | xhip |
| Name |
hexacosihecatonicosachoron prism, bitruncated-hecatonicosachoron prism, bitruncated-hexacosachoron prism |
| Circumradius | sqrt[119+50 sqrt(5)]/2 = 7.596108 |
| Face vector | 7200, 18000, 15840, 5760, 722 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x o3x3x5o . . . . . | 7200 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+------+----------------+--------------------------+------------------------+---------- x . . . . | 2 | 3600 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . . x . . | 2 | * 7200 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 7200 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+------+----------------+--------------------------+------------------------+---------- x . x . . | 4 | 2 2 0 | 3600 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 3600 * * * | 0 2 1 0 0 | 1 2 0 . o3x . . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 2 0 | 2 0 1 . . x3x . | 6 | 0 3 3 | * * * 4800 * | 0 1 0 1 1 | 1 1 1 . . . x5o | 5 | 0 0 5 | * * * * 1440 | 0 0 1 0 2 | 0 2 1 ----------+------+----------------+--------------------------+------------------------+---------- x o3x . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 1200 * * * * | 2 0 0 x . x3x . ♦ 12 | 6 6 6 | 3 3 0 2 0 | * 2400 * * * | 1 1 0 x . . x5o ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 720 * * | 0 2 0 . o3x3x . ♦ 12 | 0 12 6 | 0 0 4 4 0 | * * * 1200 * | 1 0 1 . . x3x5o ♦ 60 | 0 30 60 | 0 0 0 20 12 | * * * * 240 | 0 1 1 ----------+------+----------------+--------------------------+------------------------+---------- x o3x3x . ♦ 24 | 12 24 12 | 12 6 8 8 0 | 4 4 0 2 0 | 600 * * x . x3x5o ♦ 120 | 60 60 120 | 30 60 0 40 24 | 0 20 12 0 2 | * 120 * . o3x3x5o ♦ 3600 | 0 3600 3600 | 0 0 1200 2400 720 | 0 0 0 600 120 | * * 2
oo3xx3xx5oo&#x → height = 1
(xhi || xhi)
o.3o.3o.5o. | 3600 * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.o3.o3.o5.o | * 3600 | 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
.. x. .. .. | 2 0 | 3600 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. .. | 2 0 | * 3600 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo3oo3oo5oo&#x | 1 1 | * * 3600 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .x .. .. | 0 2 | * * * 3600 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x .. | 0 2 | * * * * 3600 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
o.3x. .. .. | 3 0 | 3 0 0 0 0 | 1200 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3x. .. | 6 0 | 3 3 0 0 0 | * 2400 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.5o. | 5 0 | 0 5 0 0 0 | * * 720 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.. xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 3600 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 3600 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.o3.x .. .. | 0 3 | 0 0 0 3 0 | * * * * * 1200 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .x3.x .. | 0 6 | 0 0 0 3 3 | * * * * * * 2400 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x5.o | 0 5 | 0 0 0 0 5 | * * * * * * * 720 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
o.3x.3x. .. ♦ 12 0 | 12 6 0 0 0 | 4 4 0 0 0 0 0 0 | 600 * * * * * * | 1 1 0 0
.. x.3x.5o. ♦ 60 0 | 30 60 0 0 0 | 0 20 12 0 0 0 0 0 | * 120 * * * * * | 1 0 1 0
oo3xx .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * 1200 * * * * | 0 2 0 0
.. xx3xx ..&#x ♦ 6 6 | 3 3 6 3 3 | 0 1 0 3 3 0 1 0 | * * * 2400 * * * | 0 1 1 0
.. .. xx5oo&#x ♦ 5 5 | 0 5 5 0 5 | 0 0 1 0 5 0 0 1 | * * * * 720 * * | 0 0 2 0
.o3.x3.x .. ♦ 0 12 | 0 0 0 12 6 | 0 0 0 0 0 4 4 0 | * * * * * 600 * | 0 1 0 1
.. .x3.x5.o ♦ 0 60 | 0 0 0 30 60 | 0 0 0 0 0 0 20 12 | * * * * * * 120 | 0 0 1 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
o.3x.3x.5o. ♦ 3600 0 | 3600 3600 0 0 0 | 1200 2400 720 0 0 0 0 0 | 600 120 0 0 0 0 0 | 1 * * *
oo3xx3xx ..&#x ♦ 12 12 | 12 6 12 12 6 | 4 4 0 12 6 4 4 0 | 1 0 4 4 0 1 0 | * 600 * *
.. xx3xx5oo&#x ♦ 60 60 | 30 60 60 30 60 | 0 20 12 30 60 0 20 12 | 0 1 0 20 12 0 1 | * * 120 *
.o3.x3.x5.o ♦ 0 3600 | 0 0 0 3600 3600 | 0 0 0 0 0 1200 2400 720 | 0 0 0 0 0 600 120 | * * * 1
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