Compound of eight digons

The compound of eight digons is a degenerate regular polygon compound, being the compound of 8 digons. As such it has 16 edges and 16 vertices.

It can be formed as a degenerate stellation of the hexadecagon, by extending the edges to infinity.

Its quotient prismatic equivalent is the digonal octaexoorthowedge, which is nine-dimensional.

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


 * $$\left(\pm\frac{\sqrt{2-\sqrt{2+\sqrt2}}}{2},\,\pm\frac{\sqrt{2+\sqrt{2+\sqrt2}}}{2}\right),$$
 * $$\left(\pm\frac{\sqrt{2-\sqrt{2-\sqrt2}}}{2},\,\pm\frac{\sqrt{2+\sqrt{2-\sqrt2}}}{2}\right).$$