Acronym shihix
Name small hecatonicosihecatonicosihexacosachoron
Cross sections
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)
External

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