Rhombitriheptagonal tiling

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.

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 ${\displaystyle r{\begin{Bmatrix}7\\3\end{Bmatrix}}}$
Wythoff symbol	3 | 7 2
Coxeter diagram	or
Symmetry group	[7,3], (*732)
Dual	Deltoidal triheptagonal tiling
Properties	Vertex-transitive