# Compound of five great rhombihexahedra

Compound of five great rhombihexahedra
Rank3
TypeUniform
Notation
Bowers style acronymRasquahr
Elements
Components5 great rhombihexahedra
Faces60 squares, 30 octagrams
Edges120+120
Vertices120
Vertex figureButterfly, edge lengths 2 and 2–2
Measures (edge length 1)
Circumradius${\displaystyle {\frac {\sqrt {5-2{\sqrt {2}}}}{2}}\approx 0.73681}$
Dihedral angles8/3–4 #1: 90°
8/3–4 #2: 45°
Central densityodd
Related polytopes
ArmySemi-uniform Grid, edge lengths ${\displaystyle {\frac {-2+{\sqrt {2}}+2{\sqrt {5}}-{\sqrt {10}}}{4}}}$ (dipentagon-ditrigon), ${\displaystyle {\frac {-4+{\sqrt {2}}+{\sqrt {10}}}{4}}}$ (dipentagon-rectangle), ${\displaystyle {\frac {2-{\sqrt {2}}}{2}}}$ (ditrigon-rectangle)
RegimentRaquahri
DualCompound of five great rhombihexacrons
ConjugateCompound of five small rhombihexahedra
Convex coreDeltoidal hexecontahedron
Abstract & topological properties
OrientableNo
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The rhombisnub quasihyperhombihedron, rasquahr, or compound of five great rhombihexahedra is a uniform polyhedron compound. It consists of 60 squares and 30 octagrams, with two of each joining at a vertex.

It can be formed by replacing each great cubicuboctahedron in the rhombiquasihyperhombicosicosahedron with the great rhombihexahedron with which it shares its edge skeleton.

## Vertex coordinates

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