Order-7 square tiling

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Order-7 square tiling
Order-7 square tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic regular tiling
Vertex configuration 47
Schläfli symbol {4,7}
Wythoff symbol 7 | 4 2
Coxeter diagram CDel node.pngCDel 7.pngCDel node.pngCDel 4.pngCDel node 1.png
Symmetry group [7,4], (*742)
Dual Order-4 heptagonal tiling
Properties Vertex-transitive, edge-transitive, face-transitive

In geometry, the order-7 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,7}.

Related polyhedra and tiling[edit]

This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (4n).


  • 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[edit]

External links[edit]