Order-5 square tiling

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Order-5 square tiling
Type	Regular tiling
Vertex figure	45
Schläfli symbol	{4,5}
Wythoff symbol	5 | 4 2
Coxeter-Dynkin
Symmetry	[5,4]
Dual	Order-4 pentagonal tiling
Properties	Vertex-transitive, edge-transitive, face-transitive
45

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] See also

• Square tiling
• Tilings of regular polygons
• List of uniform tilings
• List of regular polytopes

[edit] External links

• Eric W. Weisstein, Hyperbolic tiling at MathWorld.
• Eric W. Weisstein, Poincare hyperbolic disk at MathWorld.
• Hyperbolic and Spherical Tiling Gallery
• KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
• Hyperbolic Planar Tessellations, Don Hatch