Small rhombitrihexagonal tiling prism
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Small rhombitrihexagonal tiling prism | |
---|---|
Rank | 4 |
Type | Uniform |
Space | Euclidean |
Notation | |
Coxeter diagram | x6o3x2x () |
Elements | |
Cells | ∞ triangular prisms, ∞ cubes, ∞ hexagonal prisms, 2 rhombitrihexagonal tilings |
Faces | ∞ triangles, ∞+∞ squares, ∞ hexagons |
Edges | ∞+∞+∞ |
Vertices | ∞ |
Vertex figure | Isosceles trapezoidal pyramid |
Related polytopes | |
Army | Small rhombitrihexagonal tiling prism |
Regiment | Small rhombitrihexagonal tiling prism |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | V3×A1 |
Convex | Yes |
Nature | Tame |
The small rhombitrihexagonal tiling prism is a prismatic uniform honeycomb of the Euclidean plane. It consists of 2 rhombitrihexagonal tilings, ∞ triangular prisms, ∞ cubes, and ∞ hexagonal prisms. Each vertex joins 1 rhombitrihexagonal tiling, 1 triangular prism, 2 cubes, and 1 hexagonal prism. It is a prism based on the rhombitrihexagonal tiling.
Representations[edit | edit source]
A small rhombitrihexagonal tiling prism has the following Coxeter diagrams:
- x6o3x2x () (full symmetry)
- x6o3s3s () (as edge-snub triangular tiling prism)
External links[edit | edit source]
- Wikipedia contributors. "Convex uniform honeycomb#Frieze forms".