Great enneagonal tiling

The great enneagonal tiling or genat, 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 faceting of the order-9 triangular tiling, using the bases of its enneagonal pyramid caps as faces. It is related to the spherical great dodecahedron.