Compound of five great rhombihexahedra
|Compound of five great rhombihexahedra|
|Bowers style acronym||Rasquahr|
|Components||5 great rhombihexahedra|
|Faces||60 squares, 30 octagrams|
|Vertex figure||Butterfly, edge lengths √ and √|
|Measures (edge length 1)|
|Dihedral angles||8/3–4 #1: 90°|
|8/3–4 #2: 45°|
|Army||Semi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle)|
|Dual||Compound of five great rhombihexacrons|
|Conjugate||Compound of five small rhombihexahedra|
|Convex core||Deltoidal hexecontahedron|
|Abstract & topological properties|
|Symmetry||H3, order 120|
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.
[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#20).
- Klitzing, Richard. "rasquahr".
- Wikipedia Contributors. "Compound of five great rhombihexahedra".