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Tile Pattern Math Definition


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Tile Pattern Math Definition. In mathematics, a tiling (of the plane) is a collection of subsets of the plane, i.e. One way to define a tiling is a partition of an infinite space (usually euclidean) into pieces having a finite number of distinct shapes.

Set of 12 Tile Patterns; Math Patterns; Magnatiles; Play Mags
Set of 12 Tile Patterns; Math Patterns; Magnatiles; Play Mags from www.etsy.com

In thinking about which patterns and shapes cover more of the plane, we have started to reason about area. What is tiling the plane? Which patterns are examples of tiling and which are not?

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Set of 12 Tile Patterns; Math Patterns; Magnatiles; Play Mags

In thinking about which patterns and shapes cover more of the plane, we have started to reason about area. A tiling, also called a tessellation, is a covering of a flat surface by nonoverlapping shapes with no gaps between them. Formally, a tiling is a collection of disjoint open sets, the closures of which cover the plane. Then, we compared tiling patterns and the shapes in them.

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