Interlocking patterns or tessellations were used in Ancient Rome and in Islamic art such as in the decorative geometric tiling of the Alhambra palace. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs. Tessellation in two dimensions, also called planar tiling, is a topic in geometry that studies how shapes, known as tiles, can be arranged to fill a plane without any gaps, according to a given set of rules. These rules can be varied.

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