Great rhombihexahedron

From Polytope Wiki
Jump to navigation Jump to search
Great rhombihexahedron
Great rhombihexahedron 2.png
Rank3
TypeUniform
SpaceSpherical
Bowers style acronymGroh
Info
SymmetryBC3, order 48
ArmyTic
RegimentGocco
Elements
Vertex figureButterfly, edge lengths 2 and 2–2
Faces12 squares, 6 octagrams
Edges24+24
Vertices24
Measures (edge length 1)
Circumradius5–22/2 ≈ 0.73681
Dihedral angles8/3–4 #1: 90°
 8/3–4 #2: 45°
Central densityodd
Euler characteristic–6
Related polytopes
DualGreat rhombihexacron
ConjugateSmall rhombihexahedron
Properties
ConvexNo
OrientableNo
NatureTame

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]