Acronym ...
Name u3o4x,
variation of small rhombicuboctahedron
Circumradius sqrt[sqrt(2)+11/4] = 2.040640
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between u3o and u . x:   arccos[-sqrt(2/3)] = 144.735610°
  • between u . x and o4x:   135°
Face vector 24, 48, 26
Confer
uniform variant:
sirco  
variations:
a3b4c   q3o4x   f3o4x   x3o4q (reco)  

Incidence matrix according to Dynkin symbol

u3o4x

. . . | 24 |  2  2 | 1  2 1
------+----+-------+-------
u . . |  2 | 24  * | 1  1 0
. . x |  2 |  * 24 | 0  1 1
------+----+-------+-------
u3o . |  3 |  3  0 | 8  * *
u . x |  4 |  2  2 | * 12 *
. o4x |  4 |  0  4 | *  * 6


x4/3o3/2u

.   .   . | 24 |  2  2 | 1  2 1
----------+----+-------+-------
x   .   . |  2 | 24  * | 1  1 0
.   .   u |  2 |  * 24 | 0  1 1
----------+----+-------+-------
x4/3o   . |  4 |  4  0 | 6  * *
x   .   u |  4 |  2  2 | * 12 *
.   o3/2u |  3 |  0  3 | *  * 8

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