Acronym	gixipady
Name	great hexacosiprismatodishecatonicosachoron
Circumradius	sqrt[25-10 sqrt(5)] = 1.624598
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gaquatid gidditdid giid pip toe tut gixipady 120 120 0 720 0 600 giphiddix 0 0 120 720 600 600 & others)
Face vector	7200, 18000, 11280, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gixipady is isomorphic to sixipady, thereby replacing pentagons by pentagrams and decagrams by decagons, resp. gidditdid by sidditdid, gaquatid by grid, and pip by stip.

Incidence matrix according to Dynkin symbol

x3x3o5x5/3*b

. . . .      | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . . x      |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
-------------+------+----------------+--------------------------+----------------
x3x . .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . . x      |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3o .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x . x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. . o5x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3o .      ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x . x5/3*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x . o5x      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3o5x5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3/2o5/4x5/3*b

. .   .   .      | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
-----------------+------+----------------+--------------------------+----------------
x .   .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x   .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. .   .   x      |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
-----------------+------+----------------+--------------------------+----------------
x3x   .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   .   x      |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3/2o   .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x   .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. .   o5/4x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x3x3/2o   .      ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x   .   x5/3*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x .   o5/4x      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3/2o5/4x5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120