Acronym gashia
Name grand stellated hecatonicosachoron antiprism,
grand stellated hecatonicosachoron alterprism,
grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron
Circumradius sqrt(3[sqrt(5)-1]/8) = 0.680827
Confer
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

xo5/2oo5oo5/2ox&#x   → height = sqrt(2[sqrt(5)-2]) = 0.687121
(gashi || dual gashi)

o.5/2o.5o.5/2o.    | 120   *   12   12   0 |  30   60   30   0 |  12   60   60   12   0 | 1  12  30  12   1 0
.o5/2.o5.o5/2.o    |   * 120    0   12  12 |   0   30   60  30 |   0   12   60   60  12 | 0   1  12  30  12 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.   .. ..   ..    |   2   0 | 720    *   * |   5    5    0   0 |   5   10    5    0   0 | 1   5   5   1   0 0
oo5/2oo5oo5/2oo&#x |   1   1 |   * 1440   * |   0    5    5   0 |   0    5   10    5   0 | 0   1   5   5   1 0
..   .. ..   .x    |   0   2 |   *    * 720 |   0    0    5   5 |   0    0    5   10   5 | 0   0   1   5   5 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o. ..   ..    |   5   0 |   5    0   0 | 720    *    *   * |   2    2    0    0   0 | 1   2   1   0   0 0
xo   .. ..   ..&#x |   2   1 |   1    2   0 |   * 3600    *   * |   0    2    2    0   0 | 0   1   2   1   0 0
..   .. ..   ox&#x |   1   2 |   0    2   1 |   *    * 3600   * |   0    0    2    2   0 | 0   0   1   2   1 0
..   .. .o5/2.x&#x |   0   5 |   0    0   5 |   *    *    * 720 |   0    0    0    2   2 | 0   0   0   1   2 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o.5o.   ..      12   0 |  30    0   0 |  12    0    0   0 | 120    *    *    *   * | 1   1   0   0   0 0
xo5/2oo ..   ..&#x    5   1 |   5    5   0 |   1    5    0   0 |   * 1440    *    *   * | 0   1   1   0   0 0
xo   .. ..   ox&#x    2   2 |   1    4   1 |   0    2    2   0 |   *    * 3600    *   * | 0   0   1   1   0 0
..   .. oo5/2ox&#x    1   5 |   0    5   5 |   0    0    5   1 |   *    *    * 1440   * | 0   0   0   1   1 0
..   .o5.o5/2.x       0  12 |   0    0  30 |   0    0    0  12 |   *    *    *    * 120 | 0   0   0   0   1 1
-------------------+---------+--------------+-------------------+------------------------+--------------------
x.5/2o.5o.5/2o.     120   0 | 720    0   0 | 720    0    0   0 | 120    0    0    0   0 | 1   *   *   *   * *
xo5/2oo5oo   ..&#x   12   1 |  30   12   0 |  12   30    0   0 |   1   12    0    0   0 | * 120   *   *   * *
xo5/2oo ..   ox&#x    5   2 |   5   10   1 |   1   10    5   0 |   0    2    5    0   0 | *   * 720   *   * *
xo   .. oo5/2ox&#x    2   5 |   1   10   5 |   0    5   10   1 |   0    0    5    2   0 | *   *   * 720   * *
..   oo5oo5/2ox&#x    1  12 |   0   12  30 |   0    0   30  12 |   0    0    0   12   1 | *   *   *   * 120 *
.o5/2.o5.o5/2.x       0 120 |   0    0 720 |   0    0    0 720 |   0    0    0    0 120 | *   *   *   *   * 1
or
o.5/2o.5o.5/2o.    & | 240    12   12 |   30   90 |  12   72   60 | 1  13   42
---------------------+-----+-----------+-----------+---------------+-----------
x.   .. ..   ..    & |   2 | 1440    * |    5    5 |   5   10    5 | 1   5    6
oo5/2oo5oo5/2oo&#x   |   2 |    * 1440 |    0   10 |   0   10   10 | 0   2   10
---------------------+-----+-----------+-----------+---------------+-----------
x.5/2o. ..   ..    & |   5 |    5    0 | 1440    * |   2    2    0 | 1   2    1
xo   .. ..   ..&#x & |   3 |    1    2 |    * 7200 |   0    2    2 | 0   1    3
---------------------+-----+-----------+-----------+---------------+-----------
x.5/2o.5o.   ..    &   12 |   30    0 |   12    0 | 240    *    * | 1   1    0
xo5/2oo ..   ..&#x &    6 |    5    5 |    1    5 |   * 2880    * | 0   1    1
xo   .. ..   ox&#x      4 |    2    4 |    0    4 |   *    * 3600 | 0   0    2
---------------------+-----+-----------+-----------+---------------+-----------
x.5/2o.5o.5/2o.    &  120 |  720    0 |  720    0 | 120    0    0 | 2   *    *
xo5/2oo5oo   ..&#x &   13 |   30   12 |   12   30 |   1   12    0 | * 240    *
xo5/2oo ..   ox&#x &    7 |    6   10 |    1   15 |   0    2    5 | *   * 1440

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