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Snub heptaheptagonal tiling
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In geometry, the snub heptaheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{7,7}, constructed from two regular heptagons and three equilateral triangles around every vertex.
Snub heptaheptagonal tiling | |
---|---|
![]() Poincaré disk model of the hyperbolic plane | |
Type | Hyperbolic uniform tiling |
Vertex configuration | 3.3.7.3.7 |
Schläfli symbol | sr{7,7} or |
Wythoff symbol | | 7 7 2 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry group | [7,7]+, (772) [7+,4], (7*2) |
Dual | Order-7-7 floret pentagonal tiling |
Properties | Vertex-transitive |
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Images
Drawn in chiral pairs, with edges missing between black triangles:
Symmetry
A double symmetry coloring can be constructed from [7,4] symmetry with only one color heptagon.
Related tilings
See also
Wikimedia Commons has media related to Uniform tiling 3-3-7-3-7.
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
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