Small disprismatotetrahedral-hexagonal tiling honeycomb
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Small disprismatotetrahedral-hexagonal tiling honeycomb | |
---|---|
Rank | 4 |
Type | Uniform, paracompact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Sidpithexah |
Coxeter diagram | x6o3o3x () |
Elements | |
Cells | MN tetrahedra, 2MN triangular prisms, MN hexagonal prisms, 2N hexagonal tilings |
Faces | 4MN triangles, 6MN squares, 2MN hexagons |
Edges | 6MN+6MN |
Vertices | 4MN |
Vertex figure | Triangular antipodium, edge lengths 1 (small base), √3 (large base), and √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Sidpithexah |
Regiment | Sipithexah |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [6,3,3] |
Convex | Yes |
The small disprismatotetrahedral-hexagonal tiling honeycomb, also called the small prismated hexagonal tiling honeycomb, runcinated hexagonal tiling honeycomb, or runcinated tetrahedral honeycomb, is a paracompact uniform tiling of 3D hyperbolic space. 1 tetrahedron, 1 hexagonal tiling, 3 triangular prisms, and 3 hexagonal prisms meet at each vertex. It can be derived by runcination of either the hexagonal tiling honeycomb or its dual tetrahedral honeycomb.
External links[edit | edit source]
- Wikipedia contributors. "Runcinated hexagonal tiling honeycomb".