Acronym	gardatathi
Name	grand retroditetrahedronary trishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 5280, 360
Confer	gefidtethi   gitphi
External links

As abstract polytope gardatathi is isomorphic to sand tathi, thereby interchanging the roles of pentagrams and pentagons, and replacing the decagrams by decagons, resp. replacing gissid by doe, gaddid by saddid, and gidtid by sidtid.

It also could be obtained by the withdrawel of gitphi from gefidtethi.

Incidence matrix

600 |   12 |   12   12   6  12 |  12   4   4
----+------+-------------------+------------
  2 | 3600 |    2    2   1   2 |   4   1   2
----+------+-------------------+------------
  3 |    3 | 2400    *   *   * |   1   0   1
  5 |    5 |    * 1440   *   * |   1   1   0  {5/2}
  5 |    5 |    *    * 720   * |   0   0   2  {5}
 10 |   10 |    *    *   * 720 |   2   0   0  {10/3}
----+------+-------------------+------------
 60 |  120 |   20   12   0  12 | 120   *   *  gaddid
 20 |   30 |    0   12   0   0 |   * 120   *  gissid
 20 |   60 |   20    0  12   0 |   *   * 120  gidtid