Acronym	shipady
Name	small hecatonicosiprismatodishecatonicosachoron
Circumradius	sqrt[10-3 sqrt(5)] = 1.814331
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gaquatid quitdid quit gissid sidditdid siid stip shipady 120 0 120 0 120 720 sid thipady 0 120 120 120 0 720 & others)
Face vector	7200, 18000, 11280, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope shipady is isomorphic to ghipady, thereby replacing the pentagrams by pentagons and the decagrams by decagons, respectively gaquatid by grid, quit gissid by tid, stip by pip, and siid by giid.

Incidence matrix according to Dynkin symbol

x5/3x3x5/2o3*b

.   . .   .    | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x   . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
.   x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
.   . x   .    |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x5/3x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x   . x   .    |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
.   x3x   .    |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
.   x .   o3*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
.   . x5/2o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5/3x3x   .    ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5/3x .   o3*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x   . x5/2o    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
.   x3x5/2o3*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

x5/3x3x5/3o3/2*b

.   . .   .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-----------------+------+----------------+--------------------------+----------------
x   . .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
.   x .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
.   . x   .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-----------------+------+----------------+--------------------------+----------------
x5/3x .   .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x   . x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
.   x3x   .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
.   x .   o3/2*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
.   . x5/3o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x5/3x3x   .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5/3x .   o3/2*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x   . x5/3o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
.   x3x5/3o3/2*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120