Acronym sphiddixa
Name small prismatohecatonicosadishexacosachoron alterprism
Circumradius sqrt([199+81 sqrt(5)]/8) = 6.893126
Confer
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

xx3xx3xo5/2ox3*b &#x   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

o.3o.3o.5/2o.3*b     & | 14400 |    1     2     2     2 |    2    2    2    1    1    2    2     3 |    2    1    1   1    2    3    3    1 | 1    3   1   1
-----------------------+-------+------------------------+------------------------------------------+----------------------------------------+---------------
x. .. ..   ..        & |     2 | 7200     *     *     * |    2    2    0    0    0    2    0     0 |    2    1    1   0    2    3    0    0 | 1    3   1   0
.. x. ..   ..        & |     2 |    * 14400     *     * |    1    0    1    1    0    0    1     0 |    1    1    0   1    1    0    2    0 | 1    2   0   1
.. .. x.   ..        & |     2 |    *     * 14400     * |    0    1    1    0    1    0    0     1 |    1    0    1   1    0    1    1    1 | 1    1   1   1
oo3oo3oo5/2oo3*b &#x   |     2 |    *     *     * 14400 |    0    0    0    0    0    1    1     2 |    0    0    0   0    1    2    2    1 | 0    2   1   1
-----------------------+-------+------------------------+------------------------------------------+----------------------------------------+---------------
x.3x. ..   ..        & |     6 |    3     3     0     0 | 4800    *    *    *    *    *    *     * |    1    1    0   0    1    0    0    0 | 1    2   0   0
x. .. x.   ..        & |     4 |    2     0     2     0 |    * 7200    *    *    *    *    *     * |    1    0    1   0    0    1    0    0 | 1    1   1   0
.. x.3x.   ..        & |     6 |    0     3     3     0 |    *    * 4800    *    *    *    *     * |    1    0    0   1    0    0    1    0 | 1    1   0   1
.. x. ..   o.3*b     & |     3 |    0     3     0     0 |    *    *    * 4800    *    *    *     * |    0    1    0   1    0    0    1    0 | 1    1   0   1
.. .. x.5/2o.        & |     5 |    0     0     5     0 |    *    *    *    * 2880    *    *     * |    0    0    1   1    0    0    0    1 | 1    0   1   1
xx .. ..   ..    &#x   |     4 |    2     0     0     2 |    *    *    *    *    * 7200    *     * |    0    0    0   0    1    2    0    0 | 0    2   1   0
.. xx ..   ..    &#x   |     4 |    0     2     0     2 |    *    *    *    *    *    * 7200     * |    0    0    0   0    1    0    2    0 | 0    2   0   1
.. .. xo   ..    &#x & |     3 |    0     0     1     2 |    *    *    *    *    *    *    * 14400 |    0    0    0   0    0    1    1    1 | 0    1   1   1
-----------------------+-------+------------------------+------------------------------------------+----------------------------------------+---------------
x.3x.3x.   ..        &     24 |   12    12    12     0 |    4    6    4    0    0    0    0     0 | 1200    *    *   *    *    *    *    * | 1    1   0   0
x.3x. ..   o.3*b     &     12 |    6    12     0     0 |    4    0    0    4    0    0    0     0 |    * 1200    *   *    *    *    *    * | 1    1   0   0
x. .. x.5/2o.        &     10 |    5     0    10     0 |    0    5    0    0    2    0    0     0 |    *    * 1440   *    *    *    *    * | 1    0   1   0
.. x.3x.5/2o.3*b     &     60 |    0    60    60     0 |    0    0   20   20   12    0    0     0 |    *    *    * 240    *    *    *    * | 1    0   0   1
xx3xx ..   ..    &#x       12 |    6     6     0     6 |    2    0    0    0    0    3    3     0 |    *    *    *   * 2400    *    *    * | 0    2   0   0
xx .. xo   ..    &#x &      6 |    3     0     2     4 |    0    1    0    0    0    2    0     2 |    *    *    *   *    * 7200    *    * | 0    1   1   0
.. xx3xo   ..    &#x &      9 |    0     6     3     6 |    0    0    1    1    0    0    3     3 |    *    *    *   *    *    * 4800    * | 0    1   0   1
.. .. xo5/2ox    &#x       10 |    0     0    10    10 |    0    0    0    0    2    0    0    10 |    *    *    *   *    *    *    * 1440 | 0    0   1   1
-----------------------+-------+------------------------+------------------------------------------+----------------------------------------+---------------
x.3x.3x.5/2o.3*b     &   7200 | 3600  7200  7200     0 | 2400 3600 2400 2400 1440    0    0     0 |  600  600  720 120    0    0    0    0 | 2    *   *   *
xx3xx3xo   ..    &#x &     36 |   18    24    12    24 |    8    6    4    4    0   12   12    12 |    1    1    0   0    4    6    4    0 | * 1200   *   *
xx .. xo5/2ox    &#x       20 |   10     0    20    20 |    0   10    0    0    4   10    0    20 |    0    0    2   0    0   10    0    2 | *    * 720   *
.. xx3xo5/2ox3*b &#x      120 |    0   120   120   120 |    0    0   40   40   24    0   60   120 |    0    0    0   2    0    0   40   12 | *    *   * 120

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