Concepts to Know Before Learning About Penrose Tiling
Tiling
A tiling is formally defined as a covering of a plane utilizing one or more geometric shapes, commonly known as tiles, with no overlaps or gaps. This can also be called a tessellation. There are two types of tiling: periodic tiling and aperiodic tiling.
Periodic Tiling
Periodic tiling is tiling in which simple translations of the tiles would result in the same image. For example, if one cuts out a section of the tiling and translates it in any direction, the resulting image will be exactly that of the original image. Below are images that are examples of periodic tiling.