Order-7 heptagonal tiling

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Order-7 heptagonal tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymHeheat
Coxeter diagramx7o7o ()
Schläfli symbol{7,7}
Elements
Faces2N  heptagons
Edges7N 
Vertices2N 
Vertex figureHeptagon, edge length
Related polytopes
DualOrder-7 heptagonal tiling
Abstract & topological properties
OrientableYes
Genus0
Properties
Symmetry[7,7]
ConvexYes

The order-7 heptagonal tiling is a regular tiling of hyperbolic space.

Representations[edit | edit source]

The order-7 heptagonal tiling has the following Coxeter diagrams:

Related polytopes[edit | edit source]

Since the order-7 heptagonal tiling is a regular polyhedron with a Schläfli type of the form {p,p}, its rectification is a regular polyhedron, {7,4}. Relatedly, it is the halving of {4,7}.

Two regular hyperbolic star-tilings, the stellated heptagonal tiling and the great heptagonal tiling, have Schläfli type {7,7}, and thus are among its quotients.

External links[edit | edit source]