Acronym	gadtacaxady
Name	great ditetrahedronary cubihexacosidishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 7440, 1440
External links

As abstract polytope gadtacaxady is isomorphic to sadticaxady, thereby replacing pentaagrams by pentagons, resp. replacing qrid by srid and gissid by doe.

Note that the 600 cubes in here form 120 rhoms.

Incidence matrix

(Type A)

600 |   12 |   12   24   12 |   4   8   4  12
----+------+----------------+----------------
  2 | 3600 |    2    4    2 |   1   2   1   4
----+------+----------------+----------------
  3 |    3 | 2400    *    * |   1   0   0   1
  4 |    4 |    * 3600    * |   0   1   0   1
  5 |    5 |    *    * 1440 |   0   0   1   1  {5/2}
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
  8 |   12 |    0    6    0 |   * 600   *   *  cube
 20 |   30 |    0    0   12 |   *   * 120   *  gissid
 60 |  120 |   20   30   12 |   *   *   * 120  qrid

(Type A)

600 |   12 |   12   24   12 |   4   8   4  12
----+------+----------------+----------------
  2 | 3600 |    2    4    2 |   1   2   1   4
----+------+----------------+----------------
  3 |    3 | 2400    *    * |   1   0   0   1
  4 |    4 |    * 3600    * |   0   1   0   1
  5 |    5 |    *    * 1440 |   0   0   1   1  {5/2}
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
 40 |   60 |    0   30    0 |   * 120   *   *  rhom (type A)
 20 |   30 |    0    0   12 |   *   * 120   *  gissid
 60 |  120 |   20   30   12 |   *   *   * 120  qrid

(Type B)

600 |   12 |   12   24   12 |   4   4   4  12
----+------+----------------+----------------
  2 | 3600 |    2    4    2 |   1   2   1   4
----+------+----------------+----------------
  3 |    3 | 2400    *    * |   1   0   0   1
  4 |    4 |    * 3600    * |   0   1   0   1
  5 |    5 |    *    * 1440 |   0   0   1   1  {5/2}
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
 20 |   60 |    0   30    0 |   * 120   *   *  rhom (type B)
 20 |   30 |    0    0   12 |   *   * 120   *  gissid
 60 |  120 |   20   30   12 |   *   *   * 120  qrid