Acronym	didhi
Name	dodecahedronary dishecatonicosachoron
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, 3120, 240
Confer	Grünbaumian relatives: gaghi+didhi
External links

As abstract polytope didhi is isomorphic to ofiddady, thereby replacing pentagons by pentagrams, resp. gidtid by sidtid and gike by ike.

The vertex figure of didhi is a facetting of doe.

Incidence matrix

120 |   20 |   60  30 |  12  20
----+------+----------+--------
  2 | 1200 |    6   3 |   3   6
----+------+----------+--------
  3 |    3 | 2400   * |   1   1
  5 |    5 |    * 720 |   0   2 {5}
----+------+----------+--------
 12 |   30 |   20   0 | 120   * gike
 20 |   60 |   20  12 |   * 120 gidtid