Compound of five small rhombihexahedra

Compound of five small rhombihexahedra
(3D model) (OFF file)
Rank	3
Type	Uniform
Notation
Bowers style acronym	Rasher
Elements
Components	5 small rhombihexahedra
Faces	60 squares, 30 octagons
Edges	120+120
Vertices	120
Vertex figure	Butterfly, edge lengths √2 and √2+√2
Measures (edge length 1)
Circumradius	${\frac {\sqrt {5+2{\sqrt {2}}}}{2}}\approx 1.39897$
Dihedral angles	8–4 #1: 90°
	8–4 #2: 45°
Central density	odd
Related polytopes
Army	Semi-uniform Grid, edge lengths ${\frac {4+{\sqrt {2}}-{\sqrt {10}}}{4}}$ (dipentagon-ditrigon), ${\frac {1+{\sqrt {2}}-{\sqrt {5}}}{2}}$ (dipentagon-rectangle), ${\frac {{\sqrt {10}}-{\sqrt {2}}}{4}}$ (ditrigon-rectangle)
Regiment	Rasseri
Dual	Compound of five small rhombihexacrons
Conjugate	Compound of five great rhombihexahedra
Convex core	Rhombic triacontahedron
Abstract & topological properties
Orientable	No
Properties
Symmetry	H3, order 120
Convex	No
Nature	Tame

The rhombisnub hyperhombihedron, rasher, or compound of five small rhombihexahedra is a uniform polyhedron compound. It consists of 60 squares and 30 octagons, with two of each joining at a vertex.

It can be formed by replacing each small rhombicuboctahedron in the rhombisnub rhombicosicosahedron with the small rhombihexahedron with which it shares its edge skeleton.

Gallery

Vertex coordinates

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

External links

• Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#17).

• Klitzing, Richard. "rasher".
• Wikipedia contributors. "Compound of five small rhombihexahedra".