Enneagonal tiling

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Enneagonal tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymEnat
Coxeter diagramx9o3o ()
Schläfli symbol{9,3}
Elements
Faces2N enneagons
Edges9N
Vertices6N
Vertex figureTriangle, edge length 2cos(π/9)
Measures (edge length 1)
Circumradius
Related polytopes
ArmyEnat
RegimentEnat
DualOrder-9 triangular tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[9,3]
ConvexYes

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