Acronym wavhiddixa
Name sphenoverted hecatonicosadishexacosachoron alterprism
Circumradius sqrt([119+49 sqrt(5)]/8) = 5.345177
Face vector 7200, 28800, 30240, 10560, 1322
Confer
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

oo3xx3xo5/2ox3*b &#x   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

o.3o.3o.5/2o.3*b     & | 7200 |     4    2    2 |    2    4    2    1    4    3 |    2    1   2    2    6   1 | 1    3   2
-----------------------+------+-----------------+-------------------------------+-----------------------------+-----------
.. x. ..   ..        & |    2 | 14400    *    * |    1    1    1    0    1    0 |    1    1   1    1    2   0 | 1    2   1
.. .. x.   ..        & |    2 |     * 7200    * |    0    2    0    1    0    1 |    1    0   2    0    2   1 | 1    1   2
oo3oo3oo5/2oo3*b &#x   |    2 |     *    * 7200 |    0    0    0    0    2    2 |    0    0   0    1    4   1 | 0    2   2
-----------------------+------+-----------------+-------------------------------+-----------------------------+-----------
o.3x. ..   ..        & |    3 |     3    0    0 | 4800    *    *    *    *    * |    1    1   0    1    0   0 | 1    2   0
.. x.3x.   ..        & |    6 |     3    3    0 |    * 4800    *    *    *    * |    1    0   1    0    1   0 | 1    1   1
.. x. ..   o.3*b     & |    3 |     3    0    0 |    *    * 4800    *    *    * |    0    1   1    0    1   0 | 1    1   1
.. .. x.5/2o.        & |    5 |     0    5    0 |    *    *    * 1440    *    * |    0    0   2    0    0   1 | 1    0   2
.. xx ..   ..    &#x   |    4 |     2    0    2 |    *    *    *    * 7200    * |    0    0   0    1    2   0 | 0    2   1
.. .. xo   ..    &#x & |    3 |     0    1    2 |    *    *    *    *    * 7200 |    0    0   0    0    2   1 | 0    1   2
-----------------------+------+-----------------+-------------------------------+-----------------------------+-----------
o.3x.3x.   ..        &    12 |    12    6    0 |    4    4    0    0    0    0 | 1200    *   *    *    *   * | 1    1   0
o.3x. ..   o.3*b     &     6 |    12    0    0 |    4    0    4    0    0    0 |    * 1200   *    *    *   * | 1    1   0
.. x.3x.5/2o.3*b     &    60 |    60   60    0 |    0   20   20   12    0    0 |    *    * 240    *    *   * | 1    0   1
oo3xx ..   ..    &#x       6 |     6    0    3 |    2    0    0    0    3    0 |    *    *   * 2400    *   * | 0    2   0
.. xx3xo   ..    &#x &     9 |     6    3    6 |    0    1    1    0    3    3 |    *    *   *    * 4800   * | 0    1   1
.. .. xo5/2ox    &#x      10 |     0   10   10 |    0    0    0    2    0   10 |    *    *   *    *    * 720 | 0    0   2
-----------------------+------+-----------------+-------------------------------+-----------------------------+-----------
o.3x.3x.5/2o.3*b     &  3600 |  7200 3600    0 | 2400 2400 2400  720    0    0 |  600  600 120    0    0   0 | 2    *   *
oo3xx3xo   ..    &#x &    18 |    24    6   12 |    8    4    4    0   12    6 |    1    1   0    4    4   0 | * 1200   *
.. xx3xo5/2ox3*b &#x     120 |   120  120  120 |    0   40   40   24   60  120 |    0    0   2    0   40  12 | *    * 120

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