Acronym sroh
TOCID symbol rb|CO
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
  • 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
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld

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

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