Acronym	gridaphi
Name	great retroinverted dodecahedronary prismatohecatonicosachoron
Cross sections	©
Circumradius	1
Coordinates	(1, 0, 0, 0)                                         & all permutations, all changes of sign (vertex inscribed q-hex) (1/2, 1/2, 1/2, 1/2)                             & all permutations, all changes of sign (vertex inscribed tes) ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0)   & all even permutations, all changes of sign (vertex inscribed v-sadi)
General of army	ex
Colonel of regiment	sishi
Face vector	120, 1200, 4200, 1320
Confer	sishi+paphicki+gridaphi
External links

As abstract polytope gridaphi is isomorphic to sridaphi, thereby replacing ike by gike.

Incidence matrix

 120 |   20 |   60   60 |  12   60
-----+------+-----------+---------
   2 | 1200 |    6    6 |   3    9
-----+------+-----------+---------
   3 |    3 | 2400    * |   1    1
   4 |    4 |    * 1800 |   0    2
-----+------+-----------+---------
♦ 12 |   30 |   20    0 | 120    *
♦  6 |    9 |    2    3 |   * 1200