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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.

Example 1 of Periodic Tiling
Example 2 of Periodic Tiling

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