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°
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).


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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