Acronym	sirdatady
Name	small retroditetrahedral dishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	hi
Colonel of regiment	sidtaxhi
Face vector	600, 3600, 3840, 240
Confer	sirdatady+1440{5/2}
External links

As abstract polytope sirdatady is isomorphic to gardatady, thereby replacing pentagons by pentagrams, resp. gidtid by sidtid and id by gid.

Incidence matrix

600 |   12 |   12   12 |   4   6
----+------+-----------+--------
  2 | 3600 |    2    2 |   2   2
----+------+-----------+--------
  3 |    3 | 2400    * |   1   1
  5 |    5 |    * 1440 |   1   1 {5}
----+------+-----------+--------
 20 |   60 |   20   12 | 120   * gidtid
 30 |   60 |   20   12 |   * 120 id