Acronym	ghipady
Name	great hecatonicosiprismatodishecatonicosachoron
Circumradius	sqrt[10+3 sqrt(5)] = 4.087567
Colonel of regiment	gid thipady
Face vector	7200, 18000, 11280, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x5x3x5o3/2*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
-------------+------+----------------+--------------------------+----------------
x5x . .      |   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
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x . o3/2*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x . x5o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o3/2*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

x5x3x5/4o3*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
-------------+------+----------------+--------------------------+----------------
x5x .   .    |   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
. . x5/4o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x   .    ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x .   o3*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x . x5/4o    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o3*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120