Truncated order-3 apeirogonal tiling

In geometry, the truncated order-3 apeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{∞,3}.

Truncated order-3 apeirogonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3..
Schläfli symbolt{,3}
Wythoff symbol
Coxeter diagram
Symmetry group[,3], (*32)
DualInfinite-order triakis triangular tiling
PropertiesVertex-transitive

Dual tiling

The dual tiling, the infinite-order triakis triangular tiling, has face configuration V3.∞.∞.

This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and [n,3] Coxeter group symmetry.

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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