Acronym qrigogishi (old: qrahi)
Name quasirhombated great grand stellated hecatonicosachoron
Circumradius sqrt[23-10 sqrt(5)] = 0.799575

As abstract polytope qrigogishi is isomorphic to srahi, thereby replacing pentagrams by pentagons and replacing qrid by srid. – As such qrigogishi is a lieutenant.


Incidence matrix according to Dynkin symbol

o3x3o5/3x

. . .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
----------+------+-----------+--------------------+-------------
. x .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. . .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
----------+------+-----------+--------------------+-------------
o3x .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. . o5/3x |    5 |    0    5 |    *    *    * 720 |   0    0   2
----------+------+-----------+--------------------+-------------
o3x3o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3x .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3o5/3x    60 |   60   60 |    0   20   30  12 |   *    * 120

o3x3/2o5/2x

. .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
------------+------+-----------+--------------------+-------------
. x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
------------+------+-----------+--------------------+-------------
o3x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. .   o5/2x |    5 |    0    5 |    *    *    * 720 |   0    0   2
------------+------+-----------+--------------------+-------------
o3x3/2o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3x   .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3/2o5/2x    60 |   60   60 |    0   20   30  12 |   *    * 120

o3/2x3o5/3x

.   . .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
------------+------+-----------+--------------------+-------------
.   x .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   . .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
------------+------+-----------+--------------------+-------------
o3/2x .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   . o5/3x |    5 |    0    5 |    *    *    * 720 |   0    0   2
------------+------+-----------+--------------------+-------------
o3/2x3o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3o5/3x    60 |   60   60 |    0   20   30  12 |   *    * 120

o3/2x3/2o5/2x

.   .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
--------------+------+-----------+--------------------+-------------
.   x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
--------------+------+-----------+--------------------+-------------
o3/2x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   .   o5/2x |    5 |    0    5 |    *    *    * 720 |   0    0   2
--------------+------+-----------+--------------------+-------------
o3/2x3/2o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x   .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3/2o5/2x    60 |   60   60 |    0   20   30  12 |   *    * 120

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