Dodecagon

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

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.