Order-7 triangular tiling

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Order-7 triangular tiling
Type	Regular tiling
Vertex figure	37
Schläfli symbol(s)	{3,7}
Wythoff symbol(s)	7 | 3 2
Coxeter-Dynkin(s)
Symmetry	[7,3]
Dual	Order-3 heptagonal tiling
Properties	Vertex-transitive, edge-transitive, face-transitive
37
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In geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,7}.

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 with vertex figure (3ⁿ).

(33)

(34)

(35)

(36)

[edit] References

• Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman and Company. ISBN 0-7167-1193-1. 

[edit] See also

• triangular tiling
• Tilings of regular polygons
• List of uniform planar tilings
• List of regular polytopes

[edit] External links

• Eric W. Weisstein, Hyperbolic tiling at MathWorld.
• Eric W. Weisstein, Poincaré 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