# Compound of five small rhombihexahedra

Compound of five small rhombihexahedra
Rank3
TypeUniform
Notation
Bowers style acronymRasher
Elements
Components5 small rhombihexahedra
Faces60 squares, 30 octagons
Edges120+120
Vertices120
Vertex figureButterfly, edge lengths 2 and 2+2
Measures (edge length 1)
Circumradius${\displaystyle {\frac {\sqrt {5+2{\sqrt {2}}}}{2}}\approx 1.39897}$
Dihedral angles8–4 #1: 90°
8–4 #2: 45°
Central densityodd
Related polytopes
ArmySemi-uniform Grid, edge lengths ${\displaystyle {\frac {4+{\sqrt {2}}-{\sqrt {10}}}{4}}}$ (dipentagon-ditrigon), ${\displaystyle {\frac {1+{\sqrt {2}}-{\sqrt {5}}}{2}}}$ (dipentagon-rectangle), ${\displaystyle {\frac {{\sqrt {10}}-{\sqrt {2}}}{4}}}$ (ditrigon-rectangle)
RegimentRasseri
DualCompound of five small rhombihexacrons
ConjugateCompound of five great rhombihexahedra
Convex coreRhombic triacontahedron
Abstract & topological properties
OrientableNo
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The rhombisnub hyperhombihedron, rasher, or compound of five small rhombihexahedra is a uniform polyhedron compound. It consists of 60 squares and 30 octagons, with two of each joining at a vertex.

It can be formed by replacing each small rhombicuboctahedron in the rhombisnub rhombicosicosahedron with the small rhombihexahedron with which it shares its edge skeleton.

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rhombisnub rhombicosicosahedron.