Truncated order-7 heptagonal tiling

In geometry, the truncated order-7 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t_0,1{7,7}, constructed from one heptagons and two tetrakaidecagons around every vertex.

Truncated order-7 heptagonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	7.14.14
Schläfli symbol	t{7,7}
Wythoff symbol	2 7 | 7
Coxeter diagram
Symmetry group	[7,7], (*772)
Dual	Order-7 heptakis heptagonal tiling
Properties	Vertex-transitive

Related tilings

Uniform heptaheptagonal tilings v t e
Symmetry: [7,7], (*772)							[7,7]+, (772)
= =	= =	= =	= =	= =	= =	= =	= =
{7,7}	t{7,7}	r{7,7}	2t{7,7}=t{7,7}	2r{7,7}={7,7}	rr{7,7}	tr{7,7}	sr{7,7}
Uniform duals
V77	V7.14.14	V7.7.7.7	V7.14.14	V77	V4.7.4.7	V4.14.14	V3.3.7.3.7

See also

• Square tiling
• Uniform tilings in hyperbolic plane
• List of regular polytopes

References

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)
• "Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.

External links

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