Acronym pirghia
Name prismatorhombated great hecatonicosachoron alterprism
Circumradius sqrt[50+21 sqrt(5)]/2 = 4.923348
Confer
general polytopal classes:
segmentotera   scaliform  

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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