Great enneagonal tiling

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Great enneagonal tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymGent
Coxeter diagramo9/2o9x ()
Schläfli symbol{9,9/2}
Elements
Faces2N enneagons
Edges9N
Vertices2N
Vertex figureEnneagram, edge length 2cos(π/9)
Measures (edge length 1)
Circumradius
Central density3
Related polytopes
ArmyEntrat
RegimentEntrat
DualStellated enneagonal tiling
Convex coreEnneagonal tiling
Abstract & topological properties
Schläfli type{9,9}
OrientableYes
Properties
Symmetry[9,3]
ConvexNo

The great enneagonal tiling or gent, also known as the enneagrammic-order enneagonal tiling, is a regular star tiling of the hyperbolic plane. 9 enneagons join at each vertex in an enneagrammic arrangement.

It is a second-order facetting of the order-9 triangular tiling.