Small rhombitriheptagonal tiling

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Small rhombitriheptagonal tiling
Type	Uniform tiling
Vertex figure	3.4.7.4
Schläfli symbol	or t0,2{7,3}
Wythoff symbol	3 | 7 2
Coxeter-Dynkin
Symmetry	[7,3]
Dual	Deltoidal triheptagonal tiling
Properties	Vertex-transitive
Image:Small rhombitriheptagonal tiling vertfig.png 3.4.7.4

In geometry, the Small rhombitriheptagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangles, one hexagon, alternating between two squares on each vertex. It has Schläfli symbol of t_0,2{7,3}.

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

[edit] Dual tiling

The dual tiling is called a deltoidal triheptagonal tiling, made from the intersection of an order-3 heptagonal tiling and order-7 triangular tiling.

[edit] See also

• Small rhombitrihexagonal tiling
• Order-3 heptagonal tiling
• Tilings of regular polygons
• List of uniform tilings
• Kagome lattice

[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