Acronym	rigogishi
Name	rectified great grand stellated hecatonicosachoron
Cross sections	©
Circumradius	sqrt[(21-9 sqrt(5))/2] = 0.661585
General of army	rahi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gid quit gissid tet gohiny 120 120 0 rigogishi 120 0 600 firgogishi 0 120 600 )
Face vector	1200, 3600, 3120, 720
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope rigogishi is isomorphic to rahi, thereby replacing pentagrams by pentagons, resp. replacing gid by id.

Incidence matrix according to Dynkin symbol

o3o3x5/2o

. . .   . | 1200 ♦    6 |    6   3 |   2   3
----------+------+------+----------+--------
. . x   . |    2 | 3600 |    2   1 |   1   2
----------+------+------+----------+--------
. o3x   . |    3 |    3 | 2400   * |   1   1
. . x5/2o |    5 |    5 |    * 720 |   0   2
----------+------+------+----------+--------
o3o3x   . ♦    4 |    6 |    4   0 | 600   *
. o3x5/2o ♦   30 |   60 |   20  12 |   * 120

o3o3x5/3o

. . .   . | 1200 ♦    6 |    6   3 |   2   3
----------+------+------+----------+--------
. . x   . |    2 | 3600 |    2   1 |   1   2
----------+------+------+----------+--------
. o3x   . |    3 |    3 | 2400   * |   1   1
. . x5/3o |    5 |    5 |    * 720 |   0   2
----------+------+------+----------+--------
o3o3x   . ♦    4 |    6 |    4   0 | 600   *
. o3x5/3o ♦   30 |   60 |   20  12 |   * 120

o3o3/2x5/2o

. .   .   . | 1200 ♦    6 |    6   3 |   2   3
------------+------+------+----------+--------
. .   x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
. o3/2x   . |    3 |    3 | 2400   * |   1   1
. .   x5/2o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3o3/2x   . ♦    4 |    6 |    4   0 | 600   *
. o3/2x5/2o ♦   30 |   60 |   20  12 |   * 120

o3o3/2x5/3o

. .   .   . | 1200 ♦    6 |    6   3 |   2   3
------------+------+------+----------+--------
. .   x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
. o3/2x   . |    3 |    3 | 2400   * |   1   1
. .   x5/3o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3o3/2x   . ♦    4 |    6 |    4   0 | 600   *
. o3/2x5/3o ♦   30 |   60 |   20  12 |   * 120

o3/2o3x5/2o

.   . .   . | 1200 ♦    6 |    6   3 |   2   3
------------+------+------+----------+--------
.   . x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
.   o3x   . |    3 |    3 | 2400   * |   1   1
.   . x5/2o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3/2o3x   . ♦    4 |    6 |    4   0 | 600   *
.   o3x5/2o ♦   30 |   60 |   20  12 |   * 120

o3/2o3x5/3o

.   . .   . | 1200 ♦    6 |    6   3 |   2   3
------------+------+------+----------+--------
.   . x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
.   o3x   . |    3 |    3 | 2400   * |   1   1
.   . x5/3o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3/2o3x   . ♦    4 |    6 |    4   0 | 600   *
.   o3x5/3o ♦   30 |   60 |   20  12 |   * 120

o3/2o3/2x5/2o

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

o3/2o3/2x5/3o

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