Order-4 hexagonal tiling
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Order-4 hexagonal tiling | |
---|---|
Rank | 3 |
Type | Regular |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Shexat |
Coxeter diagram | x6o4o () |
Schläfli symbol | {6,4} |
Elements | |
Faces | 2N hexagons |
Edges | 6N |
Vertices | 3N |
Vertex figure | Square, edge length √3 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Shexat |
Regiment | Shexat |
Dual | Order-6 square tiling |
Abstract & topological properties | |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | [6,4] |
Convex | Yes |
The order-4 hexagonal tiling is a regular tiling of the hyperbolic plane. 4 hexagons join at each vertex.
As with other regular polyhedra with Schläfli symbols of the form {p,4}, it can also be constructed as the rectification of {p,p}, in this case the order-6 hexagonal tiling.
Representations[edit | edit source]
The order-4 hexagonal tiling has the following Coxeter diagrams:
- x6o4o () (full symmetry)
- o6x6o () (as rectified order-6 hexagonal tiling)
- o6x3x6*a () (hexagons of 3 types, trapezivert)
External links[edit | edit source]
- Klitzing, Richard. "Shexat".
- Wikipedia contributors. "Order-4 hexagonal tiling".