Acronym	shihix
Name	small hecatonicosihecatonicosihexacosachoron
Cross sections	©
Circumradius	sqrt[(11+3 sqrt(5))/2] = 2.975584
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gissid siid tet tid tigid shihix 120 120 600 0 0 sixhidy 120 0 600 120 120 & others)
Face vector	2400, 7200, 5040, 840
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope shihix is isomorphical to gohihix, thereby replacinging pentagrams by pentagons, respectively replacinging gissid by doe and siid by giid.

Incidence matrix according to Dynkin symbol

o3o3x3x5/2*b

. . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
-------------+------+-----------+----------------+------------
. . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
. . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
-------------+------+-----------+----------------+------------
. o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
. o . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
. . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-------------+------+-----------+----------------+------------
o3o3x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3o . x5/2*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o3x3x5/2*b ♦   60 |   60   60 |   20   12   20 |   *   * 120

o3o3/2x3x5/3*b

. .   . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
. .   x .      |    2 | 3600    * |    2    0    1 |   1   0   2
. .   . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
. o3/2x .      |    3 |    3    0 | 2400    *    * |   1   0   1
. o   . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
. .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3o3/2x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3o   . x5/3*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o3/2x3x5/3*b ♦   60 |   60   60 |   20   12   20 |   *   * 120

o3/2o3x3x5/2*b

.   . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
.   . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
.   . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
.   o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
.   o . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3/2o3x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3/2o . x5/2*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o3x3x5/2*b ♦   60 |   60   60 |   20   12   20 |   *   * 120

o3/2o3/2x3x5/3*b

.   .   . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
-----------------+------+-----------+----------------+------------
.   .   x .      |    2 | 3600    * |    2    0    1 |   1   0   2
.   .   . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
-----------------+------+-----------+----------------+------------
.   o3/2x .      |    3 |    3    0 | 2400    *    * |   1   0   1
.   o   . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-----------------+------+-----------+----------------+------------
o3/2o3/2x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3/2o   . x5/3*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o3/2x3x5/3*b ♦   60 |   60   60 |   20   12   20 |   *   * 120