Hexadecagon

The hexadecagon is a polygon with 16 sides. A regular hexadecagon has equal sides and equal angles.

It is the uniform truncation of the octagon.

Hexadecagons and their stellations appear as faces in 8 scaliform polychora.

Vertex coordinates
The vertices of a regular hexadecagon of edge length 1 are given by all permutations of:


 * $$\left(±\frac12,\,±\frac{1+\sqrt2+\sqrt{4+2\sqrt2}}{2}\right),$$
 * $$\left(±\frac{1+\sqrt{2+\sqrt2}}{2},\,±\frac{1+\sqrt2+\sqrt{2+\sqrt2}}{2}\right).$$

Stellations

 * Stellated hexadecagon (compound of 2 octagons)
 * Small hexadecagram
 * Tetrasquare (compound of 4 squares)
 * Hexadecagram
 * Dioctagram (compound of 2 octagrams)
 * Grand hexadecagram