Acronym	gard tadhix
Name	grand retroditetrahedronary dishecatonicosihexacosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 5280, 840
Confer	gefradit thix
External links

As abstract polytope gard tadhix is isomorphic to sradditdahix, thereby interchanging the roles of pentagrams and pentagons, replacing decagrams by decagons, resp. gaddid by saddid.

Incidence matrix according to Dynkin symbol

600 |   12 |   12   12   6  12 |   4   4  12
----+------+-------------------+------------
  2 | 3600 |    2    2   1   2 |   1   2   4
----+------+-------------------+------------
  3 |    3 | 2400    *   *   * |   1   0   1
  5 |    5 |    * 1440   *   * |   0   1   1 {5/2}
  5 |    5 |    *    * 720   * |   0   2   0 {5}
 10 |   10 |    *    *   * 720 |   0   0   2 {10/3}
----+------+-------------------+------------
  4 |    6 |    4    0   0   0 | 600   *   * tet
 20 |   60 |    0   12  12   0 |   * 120   * ditdid
 60 |  120 |   20   12   0  12 |   *   * 120 gaddid