Stellated enneagonal tiling

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Stellated enneagonal tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymSent
Coxeter diagramx9/2o9o ()
Schläfli symbol{9/2,9}
Elements
Faces2N enneagrams
Edges9N
Vertices2N
Vertex figureEnneagon, edge length 2cos(2π/9)
Measures (edge length 1)
Circumradius≈ 0.24948i
Central density3
Related polytopes
ArmyEntrat
RegimentSent
DualGreat enneagonal tiling
Convex coreEnneagonal tiling
Abstract & topological properties
Schläfli type{9,9}
OrientableYes
Properties
Symmetry[9,3]
ConvexNo

The stellated enneagonal tiling or sent, also known as the enneagrammic tiling or order-9 enneagrammic tiling, is a regular star tiling of the hyperbolic plane. 9 enneagrams join at each vertex.

As the name suggests, it is a stellation of the enneagonal tiling. It is related to the small stellated dodecahedron.