Acronym	ratho
Name	rectified tesseractihemioctachoron
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) or just   (1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign (in dual ico positioning)
General of army	ico
Colonel of regiment	ico
Face vector	24, 96, 88, 20
Confer	Grünbaumian relatives: 2ratho
External links

This polychoron could also be understood as a modwrap of rich.

Incidence matrix

  24 |  8 |  4  4  4 | 2 2 2
-----+----+----------+------
   2 | 96 |  1  1  1 | 1 1 1
-----+----+----------+------
   3 |  3 | 32  *  * | 1 1 0
   3 |  3 |  * 32  * | 1 0 1
   4 |  4 |  *  * 24 | 0 1 1
-----+----+----------+------
♦  6 | 12 |  4  4  0 | 8 * *
♦  6 | 12 |  4  0  3 | * 8 *
♦ 12 | 24 |  0  8  6 | * * 4