Non-Repeatable Repeatability: Finding Order in Disorder

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Covering a flat surface with some pattern of geometric shapes with no overlaps or gaps is called tiling. Tiling shows up in many places, from the tiles on our kitchen floors to bees’ honeycombs. They generally have a pleasing, even fascinating, quality, and their regularity often expresses some natural harmony.

The most familiar kinds of tiling, such as covering a floor with squares that meet edge-to-edge, are examples of p… More…

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