Acronym ...
Name f3o4x,
variation of small rhombicuboctahedron
Circumradius sqrt[6+sqrt(2)+sqrt(5)+sqrt(10)]/2 = 1.789732
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between f3o and f . x:   arccos(-sqrt(2/3)) = 144.735610°
  • between f . x and o4x:   135°
Confer
uniform variant:
sirco  
variations:
a3b4c   q3o4x   u3o4x   x3o4q  

Incidence matrix according to Dynkin symbol

f3o4x

. . . | 24 |  2  2 | 1  2 1
------+----+-------+-------
f . . |  2 | 24  * | 1  1 0
. . x |  2 |  * 24 | 0  1 1
------+----+-------+-------
f3o . |  3 |  3  0 | 8  * *
f . x |  4 |  2  2 | * 12 *
. o4x |  4 |  0  4 | *  * 6

x4/3o3/2f

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

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