Rhombitriheptagonal tiling

Rhombitriheptagonal tiling
Rhombitriheptagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 3.4.7.4
Schläfli symbol rr{7,3} or
Wythoff symbol 3 | 7 2
Coxeter diagram or
Symmetry group [7,3], (*732)
Dual Deltoidal triheptagonal tiling
Properties Vertex-transitive

In geometry, the rhombitriheptagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one heptagon, alternating between two squares. The tiling has Schläfli symbol rr{7, 3}. It can be seen as constructed as a rectified triheptagonal tiling, r{7,3}, as well as an expanded heptagonal tiling or expanded order-7 triangular tiling.