A polygon with six sides and six vertices. A regular hexagon has equal sides and angles, with each interior angle equal to . Its symmetry group consists of six rotations and six reflections, forming a dihedral group of order twelve.
A regular hexagon is a hexagon with all side lengths equal and all interior angles equal to . Joining its centre to the six vertices divides it into six equilateral triangles. Consequently its circumradius equals its side length , its inradius is , and its area is . Three regular hexagons meet around a vertex because , producing the familiar edge-to-edge tessellation of the Euclidean plane.
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The term "hexagon" can refer to a couple of different concepts depending on the context: 1. **Geometric Shape**: A hexagon is a polygon with six sides and six angles. In a regular hexagon, all sides are of equal length and all interior angles are equal, measuring 120 degrees each. The shape can be found in various natural and man-made structures, such as honeycomb patterns in beehives.
