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=== Periodic 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. | 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. | ||
− | [[File:Periodic Tiling Example 1 | + | [[File:Periodic Tiling Example 1.jpeg|left|Example 1 of Periodic Tiling]] |
+ | [[File:Periodic Tiling Example 2.jpeg|left|Example 2 of Periodic Tiling]] |
Revision as of 17:01, 5 December 2020
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.