Acronym	gaid tathi
Name	grand inverted ditetrahedronary trishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
External links

As abstract polytope gaid tathi is isomorphic to sridtathi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing gidtid by sidtid, gid by id, and gissid by doe.

Incidence matrix

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