Order-6 pentagonal tiling

Order-6 pentagonal tiling
Rank	3
Type	Regular
Space	Hyperbolic
Notation
Bowers style acronym	Hipat
Coxeter diagram	o6o5x ()
Schläfli symbol	{5,6}
Elements
Faces	5N pentagons
Edges	15N
Vertices	6N
Vertex figure	Hexagon, edge length (1+√5)/2
Measures (edge length 1)
Circumradius	$\sqrt{\frac{1-\sqrt5}{8}} ≈ 0.39308i$
Related polytopes
Army	Hipat
Regiment	Hipat
Dual	Order-5 hexagonal tiling
Topological properties
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	[6,5]
Convex	Yes

The order-6 pentagonal tiling is a regular tiling of the hyperbolic plane. 6 pentagons join at each vertex.

Representations

The order-6 pentagonal tiling has the following Coxeter diagrams:

• o6o5x (main symmetry)
• o3o5x5*a () (pentagons of two different types)

External links

• Wikipedia Contributors. "Order-6 pentagonal tiling".