In geometry, the pentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of r{6,5} or t₁{6,5}.

Pentahexagonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	(5.62
Schläfli symbol	r{6,5} or ${\displaystyle {\begin{Bmatrix}6\\5\end{Bmatrix}}}$
Wythoff symbol	2 | 6 5
Coxeter diagram
Symmetry group	[6,5], (*652)
Dual	Order-6-5 rhombille tiling
Properties	Vertex-transitive edge-transitive

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, 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.

Wikimedia Commons has media related to Uniform tiling 5-6-5-6.

• Square tiling
• Tilings of regular polygons
• List of uniform planar tilings
• List of regular polytopes

• Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
• Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
• Hyperbolic and Spherical Tiling Gallery
• KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
• Hyperbolic Planar Tessellations, Don Hatch