Compound of five quasirhombicuboctahedra

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Compound of five quasirhombicuboctahedra
Rank3
TypeUniform
Notation
Bowers style acronymRosaqri
Elements
Components5 quasirhombicuboctahedra
Faces40 triangles as 20 hexagrams, 30+60 squares
Edges120+120
Vertices120
Vertex figureCrossed isosceles trapezoid, edge lengths 1, 2, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4: 45°
 4–3:
Central density25
Number of external pieces3540
Level of complexity246
Related polytopes
ArmySemi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle)
RegimentRaquahri
DualCompound of five great deltoidal icositetrahedra
ConjugateCompound of five small rhombicuboctahedra
Abstract & topological properties
Flag count960
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The rhombisnub quasirhombicosicosahedron, rhombisnub quasihyperpseudorhombicosicosahedron, rosaqri, or compound of five quasirhombicuboctahedra is a uniform polyhedron compound. It consists of 40 triangles (which form coplanar pairs combining into 20 hexagrams) and 30+60 squares, with one triangle and three squares joining at each vertex.

It can be formed by replacing each great cubicuboctahedron in the rhombiquasihyperhombicosicosahedron with the quasirhombicuboctahedron 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 rhombiquasihyperhombicosicosahedron.

External links[edit | edit source]