Order-9 triangular tiling

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Order-9 triangular tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymEntrat
Coxeter diagramo9o3x ()
Schläfli symbol{3,9}
Elements
Faces6N triangles
Edges9N
Vertices2N
Vertex figureEnneagon, edge length 1
HolesEnneagons
Measures (edge length 1)
Circumradius
Related polytopes
ArmyEntrat
RegimentEntrat
DualEnneagonal tiling
φ 2 Order-9/2 enneagonal tiling
φ 3 Apeirogonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[9,3]
ConvexYes

The order-9 triangular tiling is a regular tiling of the hyperbolic plane. 9 triangles join at each vertex.