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Truncated order-7 heptagonal tiling
Truncated order-7 heptagonal tiling
Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration7.14.14
Schläfli symbolt{7,7}
Wythoff symbol2 7 | 7
Coxeter diagram
Symmetry group[7,7], (*772)
DualOrder-7 heptakis heptagonal tiling
PropertiesVertex-transitive

In geometry, the truncated order-7 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{7,7}, constructed from one heptagons and two tetrakaidecagons around every vertex.

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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
V77V7.14.14V7.7.7.7V7.14.14V77V4.7.4.7V4.14.14V3.3.7.3.7

See also

  • 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.
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