A Penrose tiling is a non-periodic tiling generated by an aperiodic set of protiles named after Sir Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry.
Non-periodic in nature, it lacks translational symmetry…a shifted copy will never match the original.

Penrose tiling is a non-periodic tiling generated by an aperiodic set of protiles named after Sir Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry.

Non-periodic in nature, it lacks translational symmetry…a shifted copy will never match the original.