Acronym | pirghia |
Name | prismatorhombated great hecatonicosachoron alterprism |
Circumradius | sqrt[50+21 sqrt(5)]/2 = 4.923348 |
Face vector | 14400, 50400, 51840, 18480, 1682 |
Confer |
|
Incidence matrix according to Dynkin symbol
xx5xo5/2ox5xx&#x → height = sqrt[sqrt(5)-2] = 0.485868
(pirghi || inv pirghi)
o.5o.5/2o.5o. & | 14400 | 1 2 2 2 | 2 2 1 2 1 4 3 | 1 2 1 1 3 3 2 1 | 1 2 3
-------------------+-------+------------------------+--------------------------------------+---------------------------------------+-----------
x. .. .. .. & | 2 | 7200 * * * | 2 2 0 0 0 2 0 | 1 2 1 0 2 1 2 0 | 1 1 3
.. x. .. .. & | 2 | * 14400 * * | 1 0 1 1 0 0 1 | 1 1 0 1 1 1 0 1 | 1 2 1
.. .. .. x. & | 2 | * * 14400 * | 0 1 0 1 1 1 0 | 0 1 1 1 1 1 1 0 | 1 1 2
oo5oo5/2oo5oo&#x | 2 | * * * 14400 | 0 0 0 0 0 2 2 | 0 0 0 0 2 2 1 1 | 0 2 2
-------------------+-------+------------------------+--------------------------------------+---------------------------------------+-----------
x.5x. .. .. & | 10 | 5 5 0 0 | 2880 * * * * * * | 1 1 0 0 1 0 0 0 | 1 1 1
x. .. .. x. & | 4 | 2 0 2 0 | * 7200 * * * * * | 0 1 1 0 0 0 1 0 | 1 0 2
.. x.5/2o. .. & | 5 | 0 5 0 0 | * * 2880 * * * * | 1 0 0 1 0 0 0 1 | 1 2 0
.. x. .. x. & | 4 | 0 2 2 0 | * * * 7200 * * * | 0 1 0 1 0 1 0 0 | 1 1 1
.. .. o.5x. & | 5 | 0 0 5 0 | * * * * 2880 * * | 0 0 1 1 1 0 0 0 | 1 1 1
xx .. .. ..&#x & | 4 | 1 0 1 2 | * * * * * 14400 * | 0 0 0 0 1 1 1 0 | 0 1 2
.. xo .. ..&#x & | 3 | 0 1 0 2 | * * * * * * 14400 | 0 0 0 0 1 1 0 1 | 0 2 1
-------------------+-------+------------------------+--------------------------------------+---------------------------------------+-----------
x.5x.5/2o. .. & ♦ 60 | 30 60 0 0 | 12 0 12 0 0 0 0 | 240 * * * * * * * | 1 1 0
x.5x. .. x. & ♦ 20 | 10 10 10 0 | 2 5 0 5 0 0 0 | * 1440 * * * * * * | 1 0 1
x. .. o.5x. & ♦ 10 | 5 0 10 0 | 0 5 0 0 2 0 0 | * * 1440 * * * * * | 1 0 1
.. x.5/2o.5x. & ♦ 60 | 0 60 60 0 | 0 0 12 30 12 0 0 | * * * 240 * * * * | 1 1 0
xx5xo .. ..&#x & ♦ 15 | 5 5 5 10 | 1 0 0 0 1 5 5 | * * * * 2880 * * * | 0 1 1
xx .. ox ..&#x & ♦ 6 | 1 2 2 4 | 0 0 0 1 0 2 2 | * * * * * 7200 * * | 0 1 1
xx .. .. xx&#x ♦ 8 | 4 0 4 4 | 0 2 0 0 0 4 0 | * * * * * * 3600 * | 0 0 2
.. xo5/2ox ..&#x ♦ 10 | 0 10 0 10 | 0 0 2 0 0 0 10 | * * * * * * * 1440 | 0 2 0
-------------------+-------+------------------------+--------------------------------------+---------------------------------------+-----------
x.5x.5/2o.5x. & ♦ 7200 | 3600 7200 7200 0 | 1440 3600 1440 3600 1440 0 0 | 120 720 720 120 0 0 0 0 | 2 * *
xx5xo5/2ox ..&#x & ♦ 120 | 30 120 60 120 | 12 0 24 30 12 60 120 | 1 0 0 1 12 30 0 12 | * 240 *
xx5xo .. xx&#x & ♦ 30 | 15 10 20 20 | 2 10 0 5 2 20 10 | 0 1 1 0 2 5 5 0 | * * 1440
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