Snub triapeirotrigonal tiling

Snub triapeirotrigonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	3.3.3.3.3.∞
Schläfli symbol	s{3,∞} s(∞,3,3)
Wythoff symbol	| ∞ 3 3
Coxeter diagram
Symmetry group	[(∞,3,3)]+, (∞33)
Dual
Properties	Vertex-transitive Chiral

In geometry, the snub triapeirotrigonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}.

Related polyhedra and tiling[]

Paracompact hyperbolic uniform tilings in [(∞,3,3)] family v
Symmetry: [(∞,3,3)], (*∞33)							[(∞,3,3)]+, (∞33)
(∞,∞,3)	t0,1(∞,3,3)	t1(∞,3,3)	t1,2(∞,3,3)	t2(∞,3,3)	t0,2(∞,3,3)	t0,1,2(∞,3,3)	s(∞,3,3)
Dual tilings
V(3.∞)3	V3.∞.3.∞	V(3.∞)3	V3.6.∞.6	V(3.3)∞	V3.6.∞.6	V6.6.∞	V3.3.3.3.3.∞

References[]

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, 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.

See also[]

Wikimedia Commons has media related to Uniform tiling 3-3-3-3-3-i.

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

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

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