Order-8 pentagonal tiling

In geometry, the order-8 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,8}.

Order-8 pentagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic regular tiling
Vertex configuration58
Schläfli symbol{5,8}
Wythoff symbol8 h 5 2
Coxeter diagram
Symmetry group[8,5], (*852)
DualOrder-5 octagonal tiling
PropertiesVertex-transitive, edge-transitive, face-transitive

See also

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)
    • "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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