Acronym	sroh
TOCID symbol	rb|CO
Name	small rhombihexahedron
VRML	⭳ ©
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	between {4} and {8} (at pseudo {3}):   90° between {4} and {8} (at pseudo {4}):   45°
Face vector	24, 48, 18
Confer	Grünbaumian relatives: sroh+8{6/2}   blend-component: op   compounds: rasher
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 edge-faceting of the small rhombicuboctahedron (sirco).

The below provided matrix looks like both edge types would be alike. And in fact at each of them a square adjoins an octagon. However some are situated at a pseudo triangle (triangular hole), while the others are situated at a psuedo square (square hole). I.e. although the according symmetry equivalence classes behave alike the individual members within the full 0-1 matrix would behave differently. And therefore those remain different too within the according abstract polyhedron.

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