Tessellation ensures that there’s neither wasted space nor wasted energy. Hexagons, which are themselves composed of tessellated triangles, do. Triangles and squares tessellate circles and pentagons do not. Some shapes tessellate, meaning they can be repeated across a surface without leaving gaps or overlapping. Hexagons appear in honeycombs because they’re the most efficient way to fill a space with the least amount of material. Their hives are wondrous constructions, and their hexagonal nature is part brilliance and part accident. But beyond that, they themselves are encoded with the shape: the hexagon is written into their eyes. Bees worldwide are extraordinarily adept at constructing uniform hexagons.
But the most obvious natural hexagon is the honeycomb, the geometrically perfect home for bees and their honey.
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