Tessellations

Tessellations are patterns of carefully juxtaposed, non-overlapping shapes—like the multicolored tiles of a mosaic—that fill a given surface. They have been used throughout history, from ancient architecture to modern art, and are frequently found in the works of M.C. Escher. Regular tessellations, which are highly symmetrical and made up of congruent, regular polygons, can only be formed using equilateral triangles, squares, or hexagons. Where can tessellations be observed in the natural world? Discuss
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