Acronym	shihi
Name	small hecatonicosihecatonicosachoron
Cross sections	©
Circumradius	(5+3 sqrt(5))/2 = 5.854102
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: tid tigid shihi 120 120 )
Face vector	3600, 7200, 3360, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope shihi is isomorphic to ghihi, thereby replacing the decagons by decagrams, resp. replacing tid by quit gissid and tigid by quit sissid.

Incidence matrix according to Dynkin symbol

o3x5x5/2o

. . .   . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x .   . |    2 | 3600    * |    1    2   0 |   2   1
. . x   . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x .   . |    3 |    3    0 | 1200    *   * |   2   0
. x5x   . |   10 |    5    5 |    * 1440   * |   1   1
. . x5/2o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x5x   . ♦   60 |   60   30 |   20   12   0 | 120   *
. x5x5/2o ♦   60 |   30   60 |    0   12  12 |   * 120

o3x5x5/3o

. . .   . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x .   . |    2 | 3600    * |    1    2   0 |   2   1
. . x   . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x .   . |    3 |    3    0 | 1200    *   * |   2   0
. x5x   . |   10 |    5    5 |    * 1440   * |   1   1
. . x5/3o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x5x   . ♦   60 |   60   30 |   20   12   0 | 120   *
. x5x5/3o ♦   60 |   30   60 |    0   12  12 |   * 120

o3/2x5x5/2o

.   . .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x .   . |    2 | 3600    * |    1    2   0 |   2   1
.   . x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x5x   . |   10 |    5    5 |    * 1440   * |   1   1
.   . x5/2o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x5x   . ♦   60 |   60   30 |   20   12   0 | 120   *
.   x5x5/2o ♦   60 |   30   60 |    0   12  12 |   * 120

o3/2x5x5/3o

.   . .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x .   . |    2 | 3600    * |    1    2   0 |   2   1
.   . x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x5x   . |   10 |    5    5 |    * 1440   * |   1   1
.   . x5/3o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x5x   . ♦   60 |   60   30 |   20   12   0 | 120   *
.   x5x5/3o ♦   60 |   30   60 |    0   12  12 |   * 120