Acronym	sirphinady
Name	small inverted retropental hecatonicosaintercepted dishecatonicosachoron
Cross sections	©
Circumradius	sqrt[5+2 sqrt(5)] = 3.077684
General of army	rox
Colonel of regiment	rox
Face vector	720, 3600, 6360, 360
External links

As abstract polytope sirphinady is isomorphic to gipdohiny, thereby replacing pentagons by pentagrams, resp. by replacing srid by qrid, replacing gad by sissid, and replacing tid by quit gissid.

Incidence matrix

 720 |   10 |   10   10   10  10 |   2  10  10
-----+------+--------------------+------------
   2 | 3600 |    2    2    2   2 |   1   4   3
-----+------+--------------------+------------
   3 |    3 | 2400    *    *   * |   0   1   1
   4 |    4 |    * 1800    *   * |   0   2   0
   5 |    5 |    *    * 1440   * |   1   1   0
  10 |   10 |    *    *    * 720 |   0   0   2
-----+------+--------------------+------------
♦ 12 |   30 |    0    0   12   0 | 120   *   *
♦ 60 |  120 |   20   30   12   0 |   * 120   *
♦ 60 |   90 |   20    0    0  12 |   *   * 120