Great rhombitrioctagonal tiling
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Great rhombitrioctagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Grotoct |
Coxeter diagram | x8x3x () |
Elements | |
Faces | 12N squares, 8N hexagons, 3N hexadecagons |
Edges | 24N+24N+n24N |
Vertices | 48N |
Vertex figure | Scalene triangle, edge lengths √2, √2+√2, √2+√2+√2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Grotoct |
Regiment | Grotoct |
Dual | 3-8 kisrhombille tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [8,3] |
Convex | Yes |
The great rhombitrioctagonal tiling or grotoct, also called the truncated trioctagonal tiling, is a uniform tiling of the hyperbolic plane. 1 square, 1 hexagon and 1 hexadecagon join at each vertex. It can be formed by cantitruncation of either the octagonal tiling or its dual order-8 triangular tiling, or equivalently by truncation of the trioctagonal tiling.
External links[edit | edit source]
- Klitzing, Richard. "grotoct".
- Wikipedia contributors. "Truncated trioctagonal tiling".