Hexagon

The hexagon, or hig, is a polygon with 6 sides. A regular hexagon has equal sides and equal angles.

The regular hexagon is one of the only three regular polygons that can tile the plane, the other two being the equilateral triangle and the square. Its tiling is called the hexagonal tiling.

The hexagon has the rare property that its circumradius equals its edge length. Other notable polytopes that satisfy this property are the cuboctahedron, the tesseract, and the icositetrachoron.

This is the polygon with the most sides without a stellation, if one does not count the compound hexagram. The other polygons without non-compound stellations are the triangle and the square. If one does count the hexagram, then it and the pentagon are the only regular polygons with one stellation.

Vertex coordinates
Coordinates for a hexagon of unit edge length, centered at the origin, are:


 * (±1, 0),
 * (±1/2, ±$\sqrt{3}$/2).

Ditrigon
A ditrigon is a variant hexagon with triangular symmetry, formed as a truncated triangle. When hexagons appear as faces in higher polytopes, they usually have this symmetry. Its dual is the triambus.