Order-7 truncated triangular tiling

From Wikipedia, the free encyclopedia

Order-7 truncated triangular tiling
Type	Uniform tiling
Vertex figure	7.6.6
Schläfli symbol	t{3,7}
Wythoff symbol	2 7 | 3
Coxeter-Dynkin
Symmetry	[7,3]
Dual	Order-3 heptakis heptagonal tiling
Properties	Vertex-transitive
Image:Order-7 truncated triangular tiling vertfig.png 7.6.6
This box: view • talk • edit

In geometry, the Order 7 truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane. There is one hexagons and two heptagons on each vertex. It has Schläfli symbol of t_1,2{7,3}.

The image shows a Poincaré disk model projection of the hyperbolic plane.

Contents 1 Dual tiling 2 References 3 See also 4 External links

[edit] Dual tiling

The dual tiling is called an order-3 heptakis heptagonal tiling, named for being constructable as a order-3 heptagonal tiling with every heptagon divided into 7 triangles by the center point.

[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
• Order-3 heptagonal tiling
• Order-7 triangular tiling
• Tilings of regular polygons
• List of uniform tilings

[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