Acronym grixip
Name great-rhombated-hexacosachoron prism
Circumradius sqrt[51+18 sqrt(5)]/2 = 4.776223
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x3x5o

. . . . . | 14400 |    1    1    1     2 |    1    1    2    1    2    2    1 |    1    2    2    1    2    1   1 |   2   1   1 1
----------+-------+----------------------+------------------------------------+-----------------------------------+--------------
x . . . . |     2 | 7200    *    *     * |    1    1    2    0    0    0    0 |    1    2    2    1    0    0   0 |   2   1   1 0
. x . . . |     2 |    * 7200    *     * |    1    0    0    1    2    0    0 |    1    2    0    0    2    1   0 |   2   1   0 1
. . x . . |     2 |    *    * 7200     * |    0    1    0    1    0    2    0 |    1    0    2    0    2    0   1 |   2   0   1 1
. . . x . |     2 |    *    *    * 14400 |    0    0    1    0    1    1    1 |    0    1    1    1    1    1   1 |   1   1   1 1
----------+-------+----------------------+------------------------------------+-----------------------------------+--------------
x x . . . |     4 |    2    2    0     0 | 3600    *    *    *    *    *    * |    1    2    0    0    0    0   0 |   2   1   0 0
x . x . . |     4 |    2    0    2     0 |    * 3600    *    *    *    *    * |    1    0    2    0    0    0   0 |   2   0   1 0
x . . x . |     4 |    2    0    0     2 |    *    * 7200    *    *    *    * |    0    1    1    1    0    0   0 |   1   1   1 0
. x3x . . |     6 |    0    3    3     0 |    *    *    * 2400    *    *    * |    1    0    0    0    2    0   0 |   2   0   0 1
. x . x . |     4 |    0    2    0     2 |    *    *    *    * 7200    *    * |    0    1    0    0    1    1   0 |   1   1   0 1
. . x3x . |     6 |    0    0    3     3 |    *    *    *    *    * 4800    * |    0    0    1    0    1    0   1 |   1   0   1 1
. . . x5o |     5 |    0    0    0     5 |    *    *    *    *    *    * 2880 |    0    0    0    1    0    1   1 |   0   1   1 1
----------+-------+----------------------+------------------------------------+-----------------------------------+--------------
x x3x . .     12 |    6    6    6     0 |    3    3    0    2    0    0    0 | 1200    *    *    *    *    *   * |   2   0   0 0
x x . x .      8 |    4    4    0     4 |    2    0    2    0    2    0    0 |    * 3600    *    *    *    *   * |   1   1   0 0
x . x3x .     12 |    6    0    6     6 |    0    3    3    0    0    2    0 |    *    * 2400    *    *    *   * |   1   0   1 0
x . . x5o     10 |    5    0    0    10 |    0    0    5    0    0    0    2 |    *    *    * 1440    *    *   * |   0   1   1 0
. x3x3x .     24 |    0   12   12    12 |    0    0    0    4    6    4    0 |    *    *    *    * 1200    *   * |   1   0   0 1
. x . x5o     10 |    0    5    0    10 |    0    0    0    0    5    0    2 |    *    *    *    *    * 1440   * |   0   1   0 1
. . x3x5o     60 |    0    0   30    60 |    0    0    0    0    0   20   12 |    *    *    *    *    *    * 240 |   0   0   1 1
----------+-------+----------------------+------------------------------------+-----------------------------------+--------------
x x3x3x .     48 |   24   24   24    24 |   12   12   12    8   12    8    0 |    4    6    4    0    2    0   0 | 600   *   * *
x x . x5o     20 |   10   10    0    20 |    5    0   10    0   10    0    4 |    0    5    0    2    0    2   0 |   * 720   * *
x . x3x5o    120 |   60    0   60   120 |    0   30   60    0    0   40   24 |    0    0   20   12    0    0   2 |   *   * 120 *
. x3x3x5o   7200 |    0 3600 3600  7200 |    0    0    0 1200 3600 2400 1440 |    0    0    0    0  600  720 120 |   *   *   * 2

xx3xx3xx5oo&#x   → height = 1
(grix || grix)

o.3o.3o.5o.    | 7200    * |    1    1    2    1    0    0    0 |    1    2    2    1    1    1    2    0    0    0    0 |   2   1   1    1    2    2    1   0   0   0 | 2   2   1   1 0
.o3.o3.o5.o    |    * 7200 |    0    0    0    1    1    1    2 |    0    0    0    0    1    1    2    1    2    2    1 |   0   0   0    1    2    2    1   2   1   1 | 0   2   1   1 2
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x. .. .. ..    |    2    0 | 3600    *    *    *    *    *    * |    1    2    0    0    1    0    0    0    0    0    0 |   2   1   0    1    2    0    0   0   0   0 | 1   2   1   0 0
.. x. .. ..    |    2    0 |    * 3600    *    *    *    *    * |    1    0    2    0    0    1    0    0    0    0    0 |   2   0   1    1    0    2    0   0   0   0 | 1   2   0   1 0
.. .. x. ..    |    2    0 |    *    * 7200    *    *    *    * |    0    1    1    1    0    0    1    0    0    0    0 |   1   1   1    0    1    1    1   0   0   0 | 1   1   1   1 0
oo3oo3oo5oo&#x |    1    1 |    *    *    * 7200    *    *    * |    0    0    0    0    1    1    2    0    0    0    0 |   0   0   0    1    2    2    1   0   0   0 | 0   2   1   1 0
.x .. .. ..    |    0    2 |    *    *    *    * 3600    *    * |    0    0    0    0    1    0    0    1    2    0    0 |   0   0   0    1    2    0    0   2   1   0 | 0   2   1   0 1
.. .x .. ..    |    0    2 |    *    *    *    *    * 3600    * |    0    0    0    0    0    1    0    1    0    2    0 |   0   0   0    1    0    2    0   2   0   1 | 0   2   0   1 1
.. .. .x ..    |    0    2 |    *    *    *    *    *    * 7200 |    0    0    0    0    0    0    1    0    1    1    1 |   0   0   0    0    1    1    1   1   1   1 | 0   1   1   1 1
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x.3x. .. ..    |    6    0 |    3    3    0    0    0    0    0 | 1200    *    *    *    *    *    *    *    *    *    * |   2   0   0    1    0    0    0   0   0   0 | 1   2   0   0 0
x. .. x. ..    |    4    0 |    2    0    2    0    0    0    0 |    * 3600    *    *    *    *    *    *    *    *    * |   1   1   0    0    1    0    0   0   0   0 | 1   1   1   0 0
.. x.3x. ..    |    6    0 |    0    3    3    0    0    0    0 |    *    * 2400    *    *    *    *    *    *    *    * |   1   0   1    0    0    1    0   0   0   0 | 1   1   0   1 0
.. .. x.5o.    |    5    0 |    0    0    5    0    0    0    0 |    *    *    * 1440    *    *    *    *    *    *    * |   0   1   1    0    0    0    1   0   0   0 | 1   0   1   1 0
xx .. .. ..&#x |    2    2 |    1    0    0    2    1    0    0 |    *    *    *    * 3600    *    *    *    *    *    * |   0   0   0    1    2    0    0   0   0   0 | 0   2   1   0 0
.. xx .. ..&#x |    2    2 |    0    1    0    2    0    1    0 |    *    *    *    *    * 3600    *    *    *    *    * |   0   0   0    1    0    2    0   0   0   0 | 0   2   0   1 0
.. .. xx ..&#x |    2    2 |    0    0    1    2    0    0    1 |    *    *    *    *    *    * 7200    *    *    *    * |   0   0   0    0    1    1    1   0   0   0 | 0   1   1   1 0
.x3.x .. ..    |    0    6 |    0    0    0    0    3    3    0 |    *    *    *    *    *    *    * 1200    *    *    * |   0   0   0    1    0    0    0   2   0   0 | 0   2   0   0 1
.x .. .x ..    |    0    4 |    0    0    0    0    2    0    2 |    *    *    *    *    *    *    *    * 3600    *    * |   0   0   0    0    1    0    0   1   1   0 | 0   1   1   0 1
.. .x3.x ..    |    0    6 |    0    0    0    0    0    3    3 |    *    *    *    *    *    *    *    *    * 2400    * |   0   0   0    0    0    1    0   1   0   1 | 0   1   0   1 1
.. .. .x5.o    |    0    5 |    0    0    0    0    0    0    5 |    *    *    *    *    *    *    *    *    *    * 1440 |   0   0   0    0    0    0    1   0   1   1 | 0   0   1   1 1
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x.3x.3x. ..       24    0 |   12   12   12    0    0    0    0 |    4    6    4    0    0    0    0    0    0    0    0 | 600   *   *    *    *    *    *   *   *   * | 1   1   0   0 0
x. .. x.5o.       10    0 |    5    0   10    0    0    0    0 |    0    5    0    2    0    0    0    0    0    0    0 |   * 720   *    *    *    *    *   *   *   * | 1   0   1   0 0
.. x.3x.5o.       60    0 |    0   30   60    0    0    0    0 |    0    0   20   12    0    0    0    0    0    0    0 |   *   * 120    *    *    *    *   *   *   * | 1   0   0   1 0
xx3xx .. ..&#x     6    6 |    3    3    0    6    3    3    0 |    1    0    0    0    3    3    0    1    0    0    0 |   *   *   * 1200    *    *    *   *   *   * | 0   2   0   0 0
xx .. xx ..&#x     4    4 |    2    0    2    4    2    0    2 |    0    1    0    0    2    0    2    0    1    0    0 |   *   *   *    * 3600    *    *   *   *   * | 0   1   1   0 0
.. xx3xx ..&#x     6    6 |    0    3    3    6    0    3    3 |    0    0    1    0    0    3    3    0    0    1    0 |   *   *   *    *    * 2400    *   *   *   * | 0   1   0   1 0
.. .. xx5oo&#x     5    5 |    0    0    5    5    0    0    5 |    0    0    0    1    0    0    5    0    0    0    1 |   *   *   *    *    *    * 1440   *   *   * | 0   0   1   1 0
.x3.x3.x ..        0   24 |    0    0    0    0   12   12   12 |    0    0    0    0    0    0    0    4    6    4    0 |   *   *   *    *    *    *    * 600   *   * | 0   1   0   0 1
.x .. .x5.o        0   10 |    0    0    0    0    5    0   10 |    0    0    0    0    0    0    0    0    5    0    2 |   *   *   *    *    *    *    *   * 720   * | 0   0   1   0 1
.. .x3.x5.o        0   60 |    0    0    0    0    0   30   60 |    0    0    0    0    0    0    0    0    0   20   12 |   *   *   *    *    *    *    *   *   * 120 | 0   0   0   1 1
---------------+-----------+------------------------------------+--------------------------------------------------------+---------------------------------------------+----------------
x.3x.3x.5o.     3600    0 | 3600 3600 7200    0    0    0    0 | 1200 3600 2400 1440    0    0    0    0    0    0    0 | 600 720 120    0    0    0    0   0   0   0 | 1   *   *   * *
xx3xx3xx ..&#x    24   24 |   12   12   12   24   12   12   12 |    4    6    4    0   12   12   12    4    6    4    0 |   1   0   0    4    6    4    0   1   0   0 | * 600   *   * *
xx .. xx5oo&#x    10   10 |    5    0   10   10    5    0   10 |    0    5    0    2    5    0   10    0    5    0    2 |   0   1   0    0    5    0    2   0   1   0 | *   * 720   * *
.. xx3xx5oo&#x    60   60 |    0   30   60   60    0   30   60 |    0    0   20   12    0   30   60    0    0   20   12 |   0   0   1    0    0   20   12   0   0   1 | *   *   * 120 *
.x3.x3.x5.o        0 3600 |    0    0    0    0 3600 3600 7200 |    0    0    0    0    0    0    0 1200 3600 2400 1440 |   0   0   0    0    0    0    0 600 720 120 | *   *   *   * 1

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