Acronym	hihiquatady
Name	hecatonicosihecatonicosiquasitruncated dishecatonicosachoron
Cross sections	©
Circumradius	sqrt(13) = 3.605551
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: idtid quit gissid tid hihiquatady 120 120 120 )
Face vector	7200, 14400, 6480, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope hihiquatady is automorph, thereby interchanging the roles of decagrams and decagons, respectively of tid and quit gissid.

Incidence matrix according to Dynkin symbol

o3x5x3x5/3*b

. . . .      | 7200 |    2    1    1 |    1    2    2    1 |   1   1   2
-------------+------+----------------+---------------------+------------
. x . .      |    2 | 7200    *    * |    1    1    1    0 |   1   1   1
. . x .      |    2 |    * 3600    * |    0    2    0    1 |   1   0   2
. . . x      |    2 |    *    * 3600 |    0    0    2    1 |   0   1   2
-------------+------+----------------+---------------------+------------
o3x . .      |    3 |    3    0    0 | 2400    *    *    * |   1   1   0
. x5x .      |   10 |    5    5    0 |    * 1440    *    * |   1   0   1
. x . x5/3*b |   10 |    5    0    5 |    *    * 1440    * |   0   1   1
. . x3x      |    6 |    0    3    3 |    *    *    * 1200 |   0   0   2
-------------+------+----------------+---------------------+------------
o3x5x .      ♦   60 |   60   30    0 |   20   12    0    0 | 120   *   *
o3x . x5/3*b ♦   60 |   60    0   30 |   20    0   12    0 |   * 120   *
. x5x3x5/3*b ♦  120 |   60   60   60 |    0   12   12   20 |   *   * 120

o3/2x5x3x5/3*b

.   . . .      | 7200 |    2    1    1 |    1    2    2    1 |   1   1   2
---------------+------+----------------+---------------------+------------
.   x . .      |    2 | 7200    *    * |    1    1    1    0 |   1   1   1
.   . x .      |    2 |    * 3600    * |    0    2    0    1 |   1   0   2
.   . . x      |    2 |    *    * 3600 |    0    0    2    1 |   0   1   2
---------------+------+----------------+---------------------+------------
o3/2x . .      |    3 |    3    0    0 | 2400    *    *    * |   1   1   0
.   x5x .      |   10 |    5    5    0 |    * 1440    *    * |   1   0   1
.   x . x5/3*b |   10 |    5    0    5 |    *    * 1440    * |   0   1   1
.   . x3x      |    6 |    0    3    3 |    *    *    * 1200 |   0   0   2
---------------+------+----------------+---------------------+------------
o3/2x5x .      ♦   60 |   60   30    0 |   20   12    0    0 | 120   *   *
o3/2x . x5/3*b ♦   60 |   60    0   30 |   20    0   12    0 |   * 120   *
.   x5x3x5/3*b ♦  120 |   60   60   60 |    0   12   12   20 |   *   * 120