Order-8 triangular tiling

In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {3,8}, having eight regular triangles around each vertex.

Order-8 triangular tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic regular tiling
Vertex configuration38
Schläfli symbol{3,8}
(3,4,3)
Wythoff symbol8 | 3 2
4 | 3 3
Coxeter diagram
Symmetry group[8,3], (*832)
[(4,3,3)], (*433)
[(4,4,4)], (*444)
DualOctagonal tiling
PropertiesVertex-transitive, edge-transitive, face-transitive
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