Acronym ...
Name o3q3o4x,
variation of srit
Circumradius sqrt(5) = 2.236068
Coordinates (3/2, 3/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at q-{3} between q-oct and x q3o:   150°
  • at (x,q)-{4} between q3o4x and x q3o:   arccos[-1/sqrt(3)] = 125.264390°
  • at q-{3} between q-oct and q3o4x:   120°
  • at x-{4} between q3o4x and q3o4x:   90°
Face vector 96, 288, 248, 56
Confer
uniform relative:
srit  
variations:
o3x3o4q  

Incidence matrix according to Dynkin symbol

o3q3o4x

. . . . | 96 |   4  2 |  2  2  4  1 |  1  2 2
--------+----+--------+-------------+--------
. q . . |  2 | 192  * |  1  1  1  0 |  1  1 1  q
. . . x |  2 |   * 96 |  0  0  2  1 |  0  1 2  x
--------+----+--------+-------------+--------
o3q . . |  3 |   3  0 | 64  *  *  * |  1  1 0
. q3o . |  3 |   3  0 |  * 64  *  * |  1  0 1
. q . x |  4 |   2  2 |  *  * 96  * |  0  1 1
. . o4x |  4 |   0  4 |  *  *  * 24 |  0  0 2
--------+----+--------+-------------+--------
o3q3o . ♦  6 |  12  0 |  4  4  0  0 | 16  * *
o3q . x ♦  6 |   6  3 |  2  0  3  0 |  * 32 *
. q3o4x ♦ 24 |  24 24 |  0  8 12  6 |  *  * 8

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