Great rhombihexahedron
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Great rhombihexahedron | |
---|---|
![]() | |
Rank | 3 |
Type | Uniform |
Space | Spherical |
Bowers style acronym | Groh |
Info | |
Symmetry | BC3, order 48 |
Army | Tic |
Regiment | Gocco |
Elements | |
Vertex figure | Butterfly, edge lengths √2 and √2–√2 |
Faces | 12 squares, 6 octagrams |
Edges | 24+24 |
Vertices | 24 |
Measures (edge length 1) | |
Circumradius | √5–2√2/2 ≈ 0.73681 |
Dihedral angles | 8/3–4 #1: 90° |
8/3–4 #2: 45° | |
Central density | odd |
Euler characteristic | –6 |
Related polytopes | |
Dual | Great rhombihexacron |
Conjugate | Small rhombihexahedron |
Properties | |
Convex | No |
Orientable | No |
Nature | Tame |
The great rhombihexahedron, or groh, is a uniform polyhedron. It consists of 12 squares and 6 octagrams. Two squares and two octagrams meet at each vertex..
It is a faceting of the great cubicuboctahedron, using its 6 octagrams along with 12 squares of the quasirhombicuboctahedron.
It can be constructed as a blend of three orthogonal octagrammic prisms, with 6 pairs of coinciding square faces blending out.
Related polyhedra[edit | edit source]
The rhombisnub quasihyperhombihedron is a uniform polyhedron compound composed of 5 great rhombihexahedra.
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category 4: Trapeziverts" (#47).
- Klitzing, Richard. "Groh".
- Wikipedia Contributors. "Great rhombihexahedron".