Acronym  sroh 
TOCID symbol  rbCO 
Name  small rhombihexahedron 
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Circumradius  sqrt[5+2 sqrt(2)]/2 = 1.398966 
Vertex figure  [8/7,4/3,8,4]/0 
Coordinates  ((1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign 
General of army  sirco 
Colonel of regiment  sirco 
Dihedral angles 

Confer 

External links 
As abstract polytope sroh is isomorphic to groh, thereby replacing octagons by octagrams.
This polyhedron could be thought of as the blend of 3 mutually perpendicular op, blending out those squares at intersection axes.
The small rhombihexahedron is an edgefaceting of the small rhombicuboctahedron (sirco).
Incidence matrix according to Dynkin symbol
reduced( x3/2x4x , by 8{6/2} ) 24  2 2  2 2 ++ 2  24 *  1 1 at pseudo {3} 2  * 24  1 1 at pseudo {4} ++ 4  2 2  12 * 8  4 4  * 6 or (only as abstract polyhedron) 24  4  2 2 ++ 2  48  1 1 ++ 4  4  12 * 8  8  * 6
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