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A regular hexagon is a hexagon which is both equilateral and equiangular.

That is, a regular polygon with $6$ sides.

That is, a hexagon in which all the sides are the same length, and all the vertices have the same angle:


Historical Note

Pappus of Alexandria noted how bees constructed honeycombs in the shape of a regular tessellation of hexagons.

Linguistic Note

The word hexagon derives from the Greek hexa, meaning six, and gon, deriving from the Greek for corner.