Acronym	stut dixady
Name	small tritrigonal dihexacosidihecatonicosachoron
Circumradius	sqrt[8+3 sqrt(5)] = 3.835128
General of army	x3o3o5v
Colonel of regiment	stut phiddix
Face vector	2400, 10800, 8640, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope stut dixady is isomorphic to getit dixady, thereby replacing pentagons by pentagrams, resp. gidtid by sidtid and ti by tiggy.

Incidence matrix according to Dynkin symbol

x3x3o3o5*a3/2*c

. . . .         | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
----------------+------+-----------+---------------------+----------------
x . . .         |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x . .         |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
----------------+------+-----------+---------------------+----------------
x3x . .         |    6 |    3    3 | 2400    *    *    * |   1   1   0   0
x . o . *a3/2*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x . . o5*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3o .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
----------------+------+-----------+---------------------+----------------
x3x3o . *a3/2*c ♦   12 |   12   12 |    4    4    0    4 | 600   *   *   *
x3x . o5*a      ♦   60 |   60   30 |   20    0   12    0 |   * 120   *   *
x . o3o5*a3/2*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x3o3o         ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

x3x3o3/2o5/4*a3/2*c

. . .   .           | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
--------------------+------+-----------+---------------------+----------------
x . .   .           |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x .   .           |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
--------------------+------+-----------+---------------------+----------------
x3x .   .           |    6 |    3    3 | 2400    *    *    * |   1   1   0   0
x . o   .   *a3/2*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x . .   o5/4*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3o   .           |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x3x3o   .   *a3/2*c ♦   12 |   12   12 |    4    4    0    4 | 600   *   *   *
x3x .   o5/4*a      ♦   60 |   60   30 |   20    0   12    0 |   * 120   *   *
x . o3/2o5/4*a3/2*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x3o3/2o           ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

x3x3/2o3o5/4*a3*c

. .   . .         | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
------------------+------+-----------+---------------------+----------------
x .   . .         |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x   . .         |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
------------------+------+-----------+---------------------+----------------
x3x   . .         |    6 |    3    3 | 2400    *    *    * |   1   1   0   0
x .   o .   *a3*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x .   . o5/4*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3/2o .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x3x3/2o .   *a3*c ♦   12 |   12   12 |    4    4    0    4 | 600   *   *   *
x3x   . o5/4*a    ♦   60 |   60   30 |   20    0   12    0 |   * 120   *   *
x .   o3o5/4*a3*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x3/2o3o         ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

x3x3/2o3/2o5*a3*c

. .   .   .       | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
------------------+------+-----------+---------------------+----------------
x .   .   .       |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x   .   .       |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
------------------+------+-----------+---------------------+----------------
x3x   .   .       |    6 |    3    3 | 2400    *    *    * |   1   1   0   0
x .   o   . *a3*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x .   .   o5*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3/2o   .       |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x3x3/2o   . *a3*c ♦   12 |   12   12 |    4    4    0    4 | 600   *   *   *
x3x   .   o5*a    ♦   60 |   60   30 |   20    0   12    0 |   * 120   *   *
x .   o3/2o5*a3*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x3/2o3/2o       ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600