Acronym	sophi
Name	small prismatohecatonicosachoron
Cross sections	©
Circumradius	sqrt[5+2 sqrt(5)] = 3.077684
General of army	rox
Colonel of regiment	rox
Face vector	720, 3600, 3240, 840
Confer	Grünbaumian relatives: 2sophi   2rox+sophi
External links

As abstract polytope sophi is isomorphic to quiphi, thereby replacing pentagons by pentagrams, resp. by replacing pip by stip and gad by sissid.

Incidence matrix

 720 |   10 |   10   10 |  10   2
-----+------+-----------+--------
   2 | 3600 |    2    2 |   3   1
-----+------+-----------+--------
   4 |    4 | 1800    * |   2   0
   5 |    5 |    * 1440 |   1   1
-----+------+-----------+--------
♦ 10 |   15 |    5    2 | 720   *
♦ 12 |   30 |    0   12 |   * 120