Acronym	ihi
Name	icositetrahemiicositetrachoron
Cross sections	©
Circumradius	1
Coordinates	(1, 0, 0, 0)      & all permutations, all changes of sign (vertex inscribed q-hex) (1, 1, 1, 1)/2   & all permutations, all changes of sign (vertex inscribed tes) or just   (1, 1, 0, 0)/sqrt(2)   & all permutations, all changes of sign (in dual ico positioning)
General of army	ico
Colonel of regiment	ico
Face vector	24, 96, 168, 36
Confer	sadixhix   gadixhix
External links

This polychoron has ionic icoic symmetry.

Incidence matrix

  24 |  8 | 12 12 |  6  6
-----+----+-------+------
   2 | 96 |  3  3 |  3  3
-----+----+-------+------
   3 |  3 | 96  * |  1  1
   4 |  4 |  * 72 |  1  1
-----+----+-------+------
♦  6 | 12 |  4  3 | 24  *
♦ 12 | 24 |  8  6 |  * 12