Halved square duocomb

The  is a regular skew polyhedron in 4-dimensional Euclidean space. It can be obtained by halving the square duocomb.

Vertex coordinates
Vertex coordinates for a of unit edge length centered at the origin can be given as all even sign changes of


 * $$\left(\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4},\,\pm \frac{\sqrt{2}}{4}\right)$$.