The sphinx: a limit-periodic tiling of the plane

The sphinx is a non-periodic tiling of the plane made of one type of tile. In order to characterise the type of order found in this tiling, the computation of its diffraction spectrum is considered. The spectrum contains a discrete component, with Bragg peaks located at the vertices of triangular lattices with lattice spacings, in reciprocal space, equal to any power of 1/2.