Acronym gricope (old: gripe)
Name great-rhombated-icositetrachoron prism,
cantitruncated-icositetrachoron prism
Circumradius sqrt[41+24 sqrt(2)]/2 = 4.328427
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x4x3o

. . . . . | 1152 |   1   1   1    2 |   1   1   2   1   2   2   1 |  1   2   2   1  2   1  1 |  2  1  1 1
----------+------+------------------+-----------------------------+--------------------------+-----------
x . . . . |    2 | 576   *   *    * |   1   1   2   0   0   0   0 |  1   2   2   1  0   0  0 |  2  1  1 0
. x . . . |    2 |   * 576   *    * |   1   0   0   1   2   0   0 |  1   2   0   0  2   1  0 |  2  1  0 1
. . x . . |    2 |   *   * 576    * |   0   1   0   1   0   2   0 |  1   0   2   0  2   0  1 |  2  0  1 1
. . . x . |    2 |   *   *   * 1152 |   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 | 288   *   *   *   *   *   * |  1   2   0   0  0   0  0 |  2  1  0 0
x . x . . |    4 |   2   0   2    0 |   * 288   *   *   *   *   * |  1   0   2   0  0   0  0 |  2  0  1 0
x . . x . |    4 |   2   0   0    2 |   *   * 576   *   *   *   * |  0   1   1   1  0   0  0 |  1  1  1 0
. x3x . . |    6 |   0   3   3    0 |   *   *   * 192   *   *   * |  1   0   0   0  2   0  0 |  2  0  0 1
. x . x . |    4 |   0   2   0    2 |   *   *   *   * 576   *   * |  0   1   0   0  1   1  0 |  1  1  0 1
. . x4x . |    8 |   0   0   4    4 |   *   *   *   *   * 288   * |  0   0   1   0  1   0  1 |  1  0  1 1
. . . x3o |    3 |   0   0   0    3 |   *   *   *   *   *   * 384 |  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 | 96   *   *   *  *   *  * |  2  0  0 0
x x . x .     8 |   4   4   0    4 |   2   0   2   0   2   0   0 |  * 288   *   *  *   *  * |  1  1  0 0
x . x4x .    16 |   8   0   8    8 |   0   4   4   0   0   2   0 |  *   * 144   *  *   *  * |  1  0  1 0
x . . x3o     6 |   3   0   0    6 |   0   0   3   0   0   0   2 |  *   *   * 192  *   *  * |  0  1  1 0
. x3x4x .    48 |   0  24  24   24 |   0   0   0   8  12   6   0 |  *   *   *   * 48   *  * |  1  0  0 1
. x . x3o     6 |   0   3   0    6 |   0   0   0   0   3   0   2 |  *   *   *   *  * 192  * |  0  1  0 1
. . x4x3o    24 |   0   0  12   24 |   0   0   0   0   0   6   8 |  *   *   *   *  *   * 48 |  0  0  1 1
----------+------+------------------+-----------------------------+--------------------------+-----------
x x3x4x .    96 |  48  48  48   48 |  24  24  24  16  24  12   0 |  8  12   6   0  2   0  0 | 24  *  * *
x x . x3o    12 |   6   6   0   12 |   3   0   6   0   6   0   4 |  0   3   0   2  0   2  0 |  * 96  * *
x . x4x3o    48 |  24   0  24   48 |   0  12  24   0   0  12  16 |  0   0   6   8  0   0  2 |  *  * 24 *
. x3x4x3o   576 |   0 288 288  576 |   0   0   0  96 288 144 192 |  0   0   0   0 24  96 24 |  *  *  * 2

xx3xx4xx3oo&#x   → height = 1
(grico || grico)

o.3o.4o.3o.    | 576   * |   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 | 1  2  1  1 0
.o3.o4.o3.o    |   * 576 |   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 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x. .. .. ..    |   2   0 | 288   *   *   *   *   *   * |  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 |   * 288   *   *   *   *   * |  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 |   *   * 576   *   *   *   * |  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
oo3oo4oo3oo&#x |   1   1 |   *   *   * 576   *   *   * |  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 |   *   *   *   * 288   *   * |  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 |   *   *   *   *   * 288   * |  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 |   *   *   *   *   *   * 576 |  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 | 96   *   *   *   *   *   *  *   *   *   * |  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 |  * 288   *   *   *   *   *  *   *   *   * |  1  1  0  0   1   0   0  0  0  0 | 1  1  1  0 0
.. x.4x. ..    |   8   0 |   0   4   4   0   0   0   0 |  *   * 144   *   *   *   *  *   *   *   * |  1  0  1  0   0   1   0  0  0  0 | 1  1  0  1 0
.. .. x.3o.    |   3   0 |   0   0   3   0   0   0   0 |  *   *   * 192   *   *   *  *   *   *   * |  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 |  *   *   *   * 288   *   *  *   *   *   * |  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 |  *   *   *   *   * 288   *  *   *   *   * |  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 |  *   *   *   *   *   * 576  *   *   *   * |  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 |  *   *   *   *   *   *   * 96   *   *   * |  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 |  *   *   *   *   *   *   *  * 288   *   * |  0  0  0  0   1   0   0  1  1  0 | 0  1  1  0 1
.. .x4.x ..    |   0   8 |   0   0   0   0   0   4   4 |  *   *   *   *   *   *   *  *   * 144   * |  0  0  0  0   0   1   0  1  0  1 | 0  1  0  1 1
.. .. .x3.o    |   0   3 |   0   0   0   0   0   0   3 |  *   *   *   *   *   *   *  *   *   * 192 |  0  0  0  0   0   0   1  0  1  1 | 0  0  1  1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x.3x.4x. ..      48   0 |  24  24  24   0   0   0   0 |  8  12   6   0   0   0   0  0   0   0   0 | 24  *  *  *   *   *   *  *  *  * | 1  1  0  0 0
x. .. x.3o.       6   0 |   3   0   6   0   0   0   0 |  0   3   0   2   0   0   0  0   0   0   0 |  * 96  *  *   *   *   *  *  *  * | 1  0  1  0 0
.. x.4x.3o.      24   0 |   0  12  24   0   0   0   0 |  0   0   6   8   0   0   0  0   0   0   0 |  *  * 24  *   *   *   *  *  *  * | 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 |  *  *  * 96   *   *   *  *  *  * | 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 |  *  *  *  * 288   *   *  *  *  * | 0  1  1  0 0
.. xx4xx ..&#x    8   8 |   0   4   4   8   0   4   4 |  0   0   1   0   0   4   4  0   0   1   0 |  *  *  *  *   * 144   *  *  *  * | 0  1  0  1 0
.. .. xx3oo&#x    3   3 |   0   0   3   3   0   0   3 |  0   0   0   1   0   0   3  0   0   0   1 |  *  *  *  *   *   * 192  *  *  * | 0  0  1  1 0
.x3.x4.x ..       0  48 |   0   0   0   0  24  24  24 |  0   0   0   0   0   0   0  8  12   6   0 |  *  *  *  *   *   *   * 24  *  * | 0  1  0  0 1
.x .. .x3.o       0   6 |   0   0   0   0   3   0   6 |  0   0   0   0   0   0   0  0   3   0   2 |  *  *  *  *   *   *   *  * 96  * | 0  0  1  0 1
.. .x4.x3.o       0  24 |   0   0   0   0   0  12  24 |  0   0   0   0   0   0   0  0   0   6   8 |  *  *  *  *   *   *   *  *  * 24 | 0  0  0  1 1
---------------+---------+-----------------------------+-------------------------------------------+----------------------------------+-------------
x.3x.4x.3o.     576   0 | 288 288 576   0   0   0   0 | 96 288 144 192   0   0   0  0   0   0   0 | 24 96 24  0   0   0   0  0  0  0 | 1  *  *  * *
xx3xx4xx ..&#x   48  48 |  24  24  24  48  24  24  24 |  8  12   6   0  24  24  24  8  12   6   0 |  1  0  0  8  12   6   0  1  0  0 | * 24  *  * *
xx .. xx3oo&#x    6   6 |   3   0   6   6   3   0   6 |  0   3   0   2   3   0   6  0   3   0   2 |  0  1  0  0   3   0   2  0  1  0 | *  * 96  * *
.. xx4xx3oo&#x   24  24 |   0  12  24  24   0  12  24 |  0   0   6   8   0  12  24  0   0   6   8 |  0  0  1  0   0   6   8  0  0  1 | *  *  * 24 *
.x3.x4.x3.o       0 576 |   0   0   0   0 288 288 576 |  0   0   0   0   0   0   0 96 288 144 192 |  0  0  0  0   0   0   0 24 96 24 | *  *  *  * 1

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