Compound of five great rhombihexahedra

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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
Dihedral angles8/3–4 #1: 90°
 8/3–4 #2: 45°
Central densityodd
Related polytopes
ArmySemi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (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.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]