Acronym	sirgax
Name	small rhombated grand hexacosachoron
Circumradius	sqrt[19-8 sqrt(5)] = 1.054256
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co gaquatid gid oho stip tiggy sirgax 600 0 120 0 720 0 pirgady 0 120 0 0 720 120 garawv hixhi 0 0 120 600 0 120 & others)
Face vector	3600, 10800, 8640, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sirgax is isomorphic to srix, thereby replacing pentagrams by pentagons, resp. replacing gid by id and stip by pip.

Incidence matrix according to Dynkin symbol

x3o3x5/2o

. . .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x . .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3o .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5/2o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3o3x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5/2o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5/2o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

x3o3x5/3o

. . .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x . .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3o .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5/3o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3o3x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5/3o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5/3o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5/2o

.   .   .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------------+------+-----------+---------------------+------------
x   .   .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------------+------+-----------+---------------------+------------
x3/2o   .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5/2o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------------+------+-----------+---------------------+------------
x3/2o3/2x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5/2o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5/2o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5/3o

.   .   .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------------+------+-----------+---------------------+------------
x   .   .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------------+------+-----------+---------------------+------------
x3/2o   .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5/3o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------------+------+-----------+---------------------+------------
x3/2o3/2x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5/3o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5/3o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120