Top Qs
Timeline
Chat
Perspective

Snub heptaheptagonal tiling

From Wikipedia, the free encyclopedia

Snub heptaheptagonal tiling
Remove ads
Remove ads

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
Thumb
Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3.3.7.3.7
Schläfli symbolsr{7,7} or
Wythoff symbol| 7 7 2
Coxeter diagram
Symmetry group[7,7]+, (772)
[7+,4], (7*2)
DualOrder-7-7 floret pentagonal tiling
PropertiesVertex-transitive
Remove ads

Images

Drawn in chiral pairs, with edges missing between black triangles:

ThumbThumb

Symmetry

A double symmetry coloring can be constructed from [7,4] symmetry with only one color heptagon.

Thumb
More information Symmetry: [7,7], (*772), [7,7]+, (772) ...
More information Symmetry: [7,4], (*742), [7,4]+, (742) ...
More information 4n2 symmetry mutations of snub tilings: 3.3.n.3.n, Symmetry 4n2 ...

See also

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.
Loading related searches...

Wikiwand - on

Seamless Wikipedia browsing. On steroids.

Remove ads