Acronym	dahiquatady
Name	dishecatonicosiquasitruncated dishecatonicosachoron
Cross sections	©
Circumradius	sqrt[(23+5 sqrt(5))/2] = 4.134026
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: idtid quit sissid ti dahiquatady 120 120 120 )
Face vector	7200, 14400, 6000, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope dahiquatady is isomorphic to dahitady, thereby replacing pentagons by pentagrams, and interchanging the roles of decagons and decagrams, respectively replacing ti by tiggy and quit sissid by tigid.

Incidence matrix according to Dynkin symbol

o5x3x5x5/3*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
-------------+------+----------------+--------------------+------------
o5x . .      |    5 |    5    0    0 | 1440    *    *   * |   1   1   0
. x3x .      |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
. x . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
. . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
-------------+------+----------------+--------------------+------------
o5x3x .      ♦   60 |   60   30    0 |   12   20    0   0 | 120   *   *
o5x . x5/3*b ♦   60 |   60    0   30 |   12    0   12   0 |   * 120   *
. x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120

o5/4x3x5x5/3*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
---------------+------+----------------+--------------------+------------
o5/4x . .      |    5 |    5    0    0 | 1440    *    *   * |   1   1   0
.   x3x .      |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
.   x . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
.   . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
---------------+------+----------------+--------------------+------------
o5/4x3x .      ♦   60 |   60   30    0 |   12   20    0   0 | 120   *   *
o5/4x . x5/3*b ♦   60 |   60    0   30 |   12    0   12   0 |   * 120   *
.   x3x5x5/3*b ♦  120 |   60   60   60 |    0   20   12  12 |   *   * 120