Acronym	gid thipady
Name	great ditrigonary hecatonicosiprismatodishecatonicosachoron
Circumradius	sqrt[10+3 sqrt(5)] = 4.087567
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gidditdid giid grid pip quitdid tid gid thipady 120 0 0 720 120 120 ghipady 0 120 120 720 0 120 & others)
Face vector	7200, 18000, 10320, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gid thipady is isomorphic to sid thipady, thereby replacing pentagons by pentagrams and interchanging decagrams and decagons, respectively replacing tid by quit gissid, pip by stip, and gidditdid by sidditdid.

Likewise it is isomorphic to mipthi, thereby replacing pentagons by pentagrams, respectively pip by stip and gidditdid by saddid.

Further it is isomorphic to gapthi, thereby interchanging decagrams and decagons only, respectively replacing tid by quit gissid, gidditdid by gaddid.

Incidence matrix according to Dynkin symbol

x5x3o5x5/3*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
-------------+------+----------------+--------------------------+----------------
x5x . .      |   10 |    5    5    0 | 1440    *    *    *    * |   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
-------------+------+----------------+--------------------------+----------------
x5x3o .      ♦   60 |   30   60    0 |   12    0   20    0    0 | 120   *   *   *
x5x . x5/3*b ♦  120 |   60   60   60 |   12   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

x5x3/2o5/4x5/3*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
-----------------+------+----------------+--------------------------+----------------
x5x   .   .      |   10 |    5    5    0 | 1440    *    *    *    * |   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
-----------------+------+----------------+--------------------------+----------------
x5x3/2o   .      ♦   60 |   30   60    0 |   12    0   20    0    0 | 120   *   *   *
x5x   .   x5/3*b ♦  120 |   60   60   60 |   12   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