Acronym ...
Name x3o4q,
variation of small rhombicuboctahedron
Circumradius sqrt(3) = 1.732051
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer sirco   a3b4c   q3o4x   f3o4x   u3o4x  

Incidence matrix according to Dynkin symbol

x3o4q

. . . | 24 |  2  2 | 1  2 1
------+----+-------+-------
x . . |  2 | 24  * | 1  1 0
. . q |  2 |  * 24 | 0  1 1
------+----+-------+-------
x3o . |  3 |  3  0 | 8  * *
x . q |  4 |  2  2 | * 12 *
. o4q |  4 |  0  4 | *  * 6

q4/3o3/2x

.   .   . | 24 |  2  2 | 1  2 1
----------+----+-------+-------
x   .   . |  2 | 24  * | 1  1 0
.   .   x |  2 |  * 24 | 0  1 1
----------+----+-------+-------
q4/3o   . |  4 |  4  0 | 6  * *
q   .   x |  4 |  2  2 | * 12 *
.   o3/2x |  3 |  0  3 | *  * 8

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