Acronym	gotto
Name	great trisoctachoron, great triakisoctachoron
Cross sections	©
Circumradius	sqrt(3/2) = 1.224745
Coordinates	(1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
General of army	rit
Colonel of regiment	rit
Face vector	32, 96, 88, 24
External links

Incidence matrix

32 |  3  3 |  3  3  6 | 1 3 3
---+-------+----------+------
 2 | 48  * |  2  1  2 | 1 2 2
 2 |  * 48 |  0  1  2 | 0 1 2
---+-------+----------+------
 3 |  3  0 | 32  *  * | 1 1 0
 4 |  2  2 |  * 24  * | 0 0 2
 6 |  3  3 |  *  * 32 | 0 1 1
---+-------+----------+------
 4 |  6  0 |  4  0  0 | 8 * *  tet
12 | 12  6 |  4  0  4 | * 8 *  tut
12 | 12 12 |  0  6  4 | * * 8  cho