Acronym ...
Name v3o3x,
variation of cuboctahedron,
vertex figure of gadtaxady
Circumradius sqrt[13-sqrt(5)]/4 = 0.820211
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between v3o and v . x:   arccos(-1/sqrt(3)) = 125.264390°
  • between o3x and v . x:   arccos(-1/sqrt(3)) = 125.264390°
Confer
uniform variant:
co  
variations:
a3b3c   q3o3x   f3o3x   u3o3x  

Incidence matrix according to Dynkin symbol

v3o3x

. . . | 12 |  2  2 | 1 2 1
------+----+-------+------
v . . |  2 | 12  * | 1 1 0
. . x |  2 |  * 12 | 0 1 1
------+----+-------+------
v3o . |  3 |  3  0 | 4 * *
v . x |  4 |  2  2 | * 6 *
. o3x |  3 |  0  3 | * * 4

v3/2o3/2x

.   .   . | 12 |  2  2 | 1 2 1
----------+----+-------+------
v   .   . |  2 | 12  * | 1 1 0
.   .   x |  2 |  * 12 | 0 1 1
----------+----+-------+------
v3/2o   . |  3 |  3  0 | 4 * *
v   .   x |  4 |  2  2 | * 6 *
.   o3/2x |  3 |  0  3 | * * 4

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