Acronym	sand tathi
Name	small intercepted ditetrahedronary trishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	hi
Colonel of regiment	sidtaxhi
Face vector	600, 3600, 5280, 360
Confer	sefidtethi   sitphi
External links

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

It also could be obtained by the withdrawel of sitphi from sefidtethi.

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}
  5 |    5 |    *    * 720   * |   0   0   2  {5/2}
 10 |   10 |    *    *   * 720 |   2   0   0  {10}
----+------+-------------------+------------
 60 |  120 |   20   12   0  12 | 120   *   *  saddid
 20 |   30 |    0   12   0   0 |   * 120   *  doe
 20 |   60 |   20    0  12   0 |   *   * 120  sidtid