Order-5 square tiling
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Order-5 square tiling | |
Type | Regular tiling |
---|---|
Vertex figure | 45 |
Schläfli symbol(s) | {4,5} |
Wythoff symbol(s) | 5 | 4 2 |
Coxeter-Dynkin(s) | |
Symmetry | [5,4] |
Dual | Order-4 pentagonal tiling |
Properties | Vertex-transitive, edge-transitive, face-transitive |
Image:Order-5 square tiling vertfig.png 45 |
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In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,5}.
The image shows a Poincaré disk model projection of the hyperbolic plane.
This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (4n).
(43) |
(44) |
45 |
[edit] References
- Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman and Company. ISBN 0-7167-1193-1.