Infinite-order hexagonal tiling

In 2-dimensional hyperbolic geometry, the infinite-order hexagonal tiling is a regular tiling. It has Schläfli symbol of {6,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.

Infinite-order hexagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic regular tiling
Vertex configuration6
Schläfli symbol{6,}
Wythoff symbol | 6 2
Coxeter diagram
Symmetry group[,6], (*62)
DualOrder-6 apeirogonal tiling
PropertiesVertex-transitive, edge-transitive, face-transitive
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