Quasiperiodic Tiling

A quasiperiodic tiling is a tiling of the plane that exhibits local periodicity under some transformations; we can slide or rotate it such that a finite number of tiles overlap perfectly, yet the entire tiling will not.

See

  • Aperiodic tiling and Penrose tiling for a mathematical viewpoint.
  • Quasicrystal for a physics viewpoint.