Acronym	sadticaxady
Name	small ditetrahedronary cubihexacosidishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	hi
Colonel of regiment	sidtaxhi
Face vector	600, 3600, 7440, 1440
External links

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

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
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
  8 |   12 |    0    6    0 |   * 600   *   *  cube
 20 |   30 |    0    0   12 |   *   * 120   *  doe
 60 |  120 |   20   30   12 |   *   *   * 120  srid

(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
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
 40 |   60 |    0   30    0 |   * 120   *   *  rhom (type A)
 20 |   30 |    0    0   12 |   *   * 120   *  doe
 60 |  120 |   20   30   12 |   *   *   * 120  srid

(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
----+------+----------------+----------------
  4 |    6 |    4    0    0 | 600   *   *   *  tet
 20 |   60 |    0   30    0 |   * 120   *   *  rhom (type B)
 20 |   30 |    0    0   12 |   *   * 120   *  doe
 60 |  120 |   20   30   12 |   *   *   * 120  srid