Triheptagonal tiling

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Triheptagonal tiling
Type	Uniform tiling
Vertex figure	3.7.3.7
Schläfli symbol	or t1{7,3}
Wythoff symbol	2 | 7 3
Coxeter-Dynkin
Symmetry	[7,3]
Dual	Order-7-3 quasiregular rhombic tiling
Properties	Vertex-transitive edge-transitive
3.7.3.7
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In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane. There are two triangles and two heptagons alternating on each vertex. It has Schläfli symbol of t₁{7,3}.

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

Compare to Trihexagonal tiling with vertex configuration 3.6.3.6.

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

[edit] Dual tiling

The dual tiling is called an Order-7-3 quasiregular rhombic tiling, made from rhombic faces, alternating 3 and 7 per vertex.

[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

• Trihexagonal tiling - 3.6.3.6 tiling
  • Quasiregular rhombic tiling - dual V3.6.3.6 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