Definition
To fit together perfectly without gaps or overlaps, forming a continuous pattern or tiling; often used in geometry, art, and nature to describe shapes that interlock seamlessly. Tessellating patterns are fundamental in tiling, mosaics, and mathematical design.
Example Usage
Penrose tiles tessellate in a non-repeating pattern, creating an aperiodic tiling that fascinated mathematicians for decades.
Origin
From Latin 'tessella,' meaning a small square tile or stone used in mosaics, derived from 'tessera' (a cubic die).
Fun Fact
Only three regular polygons tessellate the plane by themselves: triangles, squares, and hexagons—a principle seen in honeycomb structures and floor tiles.
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