Order-5 square tiling

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Order-5 square tiling
Order-5 square tiling
Type Regular tiling
Vertex figure 45
Schläfli symbol(s) {4,5}
Wythoff symbol(s) 5 | 4 2
Coxeter-Dynkin(s) Image:CDW_dot.pngImage:CDW_5.pngImage:CDW_dot.pngImage:CDW_4.pngImage:CDW_ring.png
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).


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