Ditetragon

The ditetragon is a convex semi-uniform octagon. As such it has 8 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a ditetragon measure 135°. If the side lengths and interior angles are equal, the result is the regular octagon.

Vertex coordinates
A ditetragon with Coxeter diagram a4b has vertex coordinates given by all permutations of:


 * $$\left(±\frac{a+b\sqrt2}{2},\,±\frac{a}{2}\right).$$