Periodic diffraction from an aperiodic monohedral tiling.

The diffraction pattern from the recently reported aperiodic 'einstein', or 'hat', monohedral tiling [Smith et al. (2023). arXiv:2303.10798v1] has been analyzed. The structure is the hexagonal mta net, a kite tiling, with aperiodic vertex deletions. A large model's diffraction pattern displays a robust sixfold periodicity in plane group p6. A repeating, roughly triangular motif of 'diffused intensity' arises between the strongest Bragg peaks. The motif contains high‐density regions of discrete 'satellite' peaks, rather than continuous 'diffuse scattering', breaking mirror symmetry, consistent with the chiral hat tiling. [ABSTRACT FROM AUTHOR]