Compound of five quasirhombicuboctahedra
(Redirected from Rhombisnub quasirhombicosicosahedron)
Compound of five quasirhombicuboctahedra | |
---|---|
Rank | 3 |
Type | Uniform |
Notation | |
Bowers style acronym | Rosaqri |
Elements | |
Components | 5 quasirhombicuboctahedra |
Faces | 40 triangles as 20 hexagrams, 30+60 squares |
Edges | 120+120 |
Vertices | 120 |
Vertex figure | Crossed isosceles trapezoid, edge lengths 1, √2, √2, √2 |
Measures (edge length 1) | |
Circumradius | |
Volume | |
Dihedral angles | 4–4: 45° |
4–3: | |
Central density | 25 |
Number of external pieces | 3540 |
Level of complexity | 246 |
Related polytopes | |
Army | Semi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle) |
Regiment | Raquahri |
Dual | Compound of five great deltoidal icositetrahedra |
Conjugate | Compound of five small rhombicuboctahedra |
Abstract & topological properties | |
Flag count | 960 |
Orientable | Yes |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
Nature | Tame |
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]
- Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#19).
- Klitzing, Richard. "rosaqri".
- Wikipedia contributors. "Compound of five nonconvex great rhombicuboctahedra".