Decagonal tiling

Decagonal tiling
Rank	3
Type	Regular
Space	Hyperbolic
Notation
Coxeter diagram
Schläfli symbol	{10,3}
Elements
Faces	3N decagons
Edges	15N
Vertices	10N
Vertex figure	Triangle
Measures (edge length 1)
Circumradius
Related polytopes
Army	Decagonal tiling
Regiment	Decagonal tiling
Dual	Order-10 triangular tiling
Abstract & topological properties
Surface	Hyperbolic plane
Orientable	Yes
Genus	0
Properties
Symmetry	[10,3]
Convex	Yes

The order-3 decagonal tiling, or just decagonal tiling, is a regular tiling of the hyperbolic plane. 3 decagons join at each vertex.

Related polyhedra[edit | edit source]

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v t e truncations
Name	OBSA	Schläfli symbol	CD diagram	Image
Decagonal tiling	decat	${10,3}$
Tri-decagonal tiling	tidect	r ${10,3}$
Order-10 triangular tiling	detrat	${3,10}$
Truncated decagonal tiling	tidecat	t ${10,3}$
Small rhombated tri-decagonal tiling	srotdect	rr ${10,3}$
Truncated order-10 triangular tiling	tidtrat	t ${3,10}$
Great rhombated tri-decagonal tiling	grotdect	tr ${10,3}$
Snub tri-decagonal tiling	snatdect	sr ${10,3}$