Dodecagon

The dodecagon, or dog, is a polygon with 12 sides. A regular dodecagon has equal sides and equal angles.

The only stellation of the dodecagon is the dodecagram. This makes it the largest polygon with a single stellation. The only other polygons with a single stellation are the pentagon, the octagon, and the decagon.

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


 * (±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{6}$)/2),
 * (±1/2, ±(2+$\sqrt{2}$)/2).

Dihexagon
A dihexagon is a variant dodecagon with hexagon symmetry, form as a truncated hexagon. Dodecagons appearing in higher polytopes usually have this symmetry.