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 gid oho stip tiggy
sirgax 60012007200
garawv hixhi 01206000120
& others)
External
links
hedrondude   WikiChoron  

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

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