- Order-3 truncated heptagonal tiling
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Order-3 truncated heptagonal tiling
Poincaré_disk_modelType Hyperbolic semiregular tiling Vertex figure 3.14.14 Schläfli symbol t{7,3} Wythoff symbol 2 3 | 7 Coxeter-Dynkin Symmetry [7,3] Dual Order-7 triakis triangular tiling Properties Vertex-transitive In geometry, the Truncated order-3 heptagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangle and two tetrakaidecagons on each vertex. It has Schläfli symbol of t0,1{7,3}.
Contents
Dual tiling
The dual tiling is called an order-7 triakis triangular tiling, seen as an order-7 triangular tiling with each triangle divided into three by a center point.
Related polyhedra and tilings
This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and [n,3] Coxeter group symmetry.
3.4.4
3.6.6
3.8.8
3.10.10
3.12.12
3.14.14
3.16.16
3.∞.∞
See also
- Truncated hexagonal tiling
- Order-3 heptagonal tiling
- Tilings of regular polygons
- List of uniform tilings
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)
- The Beauty of Geometry: Twelve Essays (1999), Dover Publications, LCCN 99-35678, ISBN 0-486-40919-8 (Chapter 10: Regular honeycombs in hyperbolic space)
External links
- Weisstein, Eric W., "Hyperbolic tiling" from MathWorld.
- Weisstein, Eric W., "Poincaré hyperbolic disk" from 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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