Acronym	gadixady
Name	great dishexacosadishecatonicosachoron
Cross sections	©
Circumradius	sqrt[(13+3 sqrt(5))/2] = 3.139124
Colonel of regiment	gidthixhi
Face vector	2400, 7200, 6240, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gadixady is isomorphic to sadixady, thereby replacing the pentagons by pentagrams, resp. replacing doe by gissid and ti by tiggy. – As such gadixady is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x3o3o5/4*a

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

x3x3o3/2o5*a

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

x3x3/2o3o5*a

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

x3x3/2o3/2o5/4*a

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