Sphinx tiling

In geometry, the sphinx tiling is a tessellation of the plane using the "sphinx", a pentagonal hexiamond formed by gluing six equilateral triangles together.

The resultant shape is named for its reminiscence to the Great Sphinx at Giza.

A sphinx can be dissected into any square number of copies of itself,[1] some of them mirror images, and repeating this process leads to a non-periodic tiling of the plane.

[3] An outer boundary ("frame") in the shape of a sphinx can also be tiled in a non-recursive way for all orders.

We define the order of a sphinx frame on a triangular lattice by the number of triangles at the "tail" end.