Truncated order-6 pentagonal tiling

In geometry, the truncated order-6 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t_1,2{6,5}.

Truncated order-6 pentagonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	6.10.10
Schläfli symbol	t{5,6} t(5,5,3)
Wythoff symbol	2 6 \| 5 3 5 5 \|
Coxeter diagram
Symmetry group	[6,5], (652) [(5,5,3)], (553)
Dual	Order-5 hexakis hexagonal tiling
Properties	Vertex-transitive

Uniform hexagonal/pentagonal tilings v t e
Symmetry: [6,5], (*652)							[6,5]⁺, (652)	[6,5⁺], (5*3)	[1⁺,6,5], (*553)


{6,5}	t{6,5}	r{6,5}	2t{6,5}=t{5,6}	2r{6,5}={5,6}	rr{6,5}	tr{6,5}	sr{6,5}	s{5,6}	h{6,5}
Uniform duals


V6⁵	V5.12.12	V5.6.5.6	V6.10.10	V5⁶	V4.5.4.6	V4.10.12	V3.3.5.3.6	V3.3.3.5.3.5	V(3.5)⁵

Uniform colorings

t₀₁₂(5,5,3)	With mirrors
An alternate construction exists from the [(5,5,3)] family, as the omnitruncation t₀₁₂(5,5,3). It is shown with two (colors) of decagons.