Acronym	gixhidy
Name	great hexacosihecatonicosadishecatonicosachoron
Cross sections	©
Circumradius	sqrt[(11-3 sqrt(5))/2] = 1.464888
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: doe giid quit gissid quit sissid tet gohihix 120 120 0 0 600 gixhidy 120 0 120 120 600 & others)
Face vector	2400, 7200, 5280, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gixhidy is isomorphical to sixhidy, thereby replacinging decagrams by decagons and pentagons by pentagrams, respectively replacinging quit gissid by tid, quit sissid by tigid, and doe by gissid.

Incidence matrix according to Dynkin symbol

x3o3o5x5/3*a

. . . .      | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-------------+------+-----------+----------------+----------------
x . . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. . . x      |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-------------+------+-----------+----------------+----------------
x3o . .      |    3 |    3    0 | 2400    *    * |   1   1   0   0
x . . x5/3*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
. . o5x      |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-------------+------+-----------+----------------+----------------
x3o3o .      ♦    4 |    6    0 |    4    0    0 | 600   *   *   *
x3o . x5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x . o5x5/3*a ♦   60 |   30   60 |    0   12   12 |   *   * 120   *
. o3o5x      ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x3o3/2o5/4x5/3*a

. .   .   .      | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-----------------+------+-----------+----------------+----------------
x .   .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
. .   .   x      |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-----------------+------+-----------+----------------+----------------
x3o   .   .      |    3 |    3    0 | 2400    *    * |   1   1   0   0
x .   .   x5/3*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
. .   o5/4x      |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-----------------+------+-----------+----------------+----------------
x3o3/2o   .      ♦    4 |    6    0 |    4    0    0 | 600   *   *   *
x3o   .   x5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o5/4x5/3*a ♦   60 |   30   60 |    0   12   12 |   *   * 120   *
. o3/2o5/4x      ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x3/2o3o5/4x5/3*a

.   . .   .      | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-----------------+------+-----------+----------------+----------------
x   . .   .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   . .   x      |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-----------------+------+-----------+----------------+----------------
x3/2o .   .      |    3 |    3    0 | 2400    *    * |   1   1   0   0
x   . .   x5/3*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
.   . o5/4x      |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-----------------+------+-----------+----------------+----------------
x3/2o3o   .      ♦    4 |    6    0 |    4    0    0 | 600   *   *   *
x3/2o .   x5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x   . o5/4x5/3*a ♦   60 |   30   60 |    0   12   12 |   *   * 120   *
.   o3o5/4x      ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x3/2o3/2o5x5/3*a

.   .   . .      | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-----------------+------+-----------+----------------+----------------
x   .   . .      |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   .   . x      |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-----------------+------+-----------+----------------+----------------
x3/2o   . .      |    3 |    3    0 | 2400    *    * |   1   1   0   0
x   .   . x5/3*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
.   .   o5x      |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-----------------+------+-----------+----------------+----------------
x3/2o3/2o .      ♦    4 |    6    0 |    4    0    0 | 600   *   *   *
x3/2o   . x5/3*a ♦   60 |   60   30 |   20   12    0 |   * 120   *   *
x   .   o5x5/3*a ♦   60 |   30   60 |    0   12   12 |   *   * 120   *
.   o3/2o5x      ♦   20 |    0   30 |    0    0   12 |   *   *   * 120