Small hexadecagram

The small hexadecagram is a non-convex polygon with 16 sides. It's created by taking the second stellation of a hexadecagon. A regular small hexadecagram has equal sides and equal angles.

It is one of three regular 16-sided star polygons, the other two being the hexadecagram and the great hexadecagram.

It is the uniform truncation of the octagram.

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


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