Dyadic gyrotegmipucofastegium

The dyadic gyrotegmipucofastegium, or dygytpuf, is a CRF segmentochoron (designated K-4.13 on Richard Klitzing's list). It consists of 8 triangular prisms and 4 square pyramids.

It is a segmentochoron between a triangular prism and a reflected orthogonal triangular prism.

This polychoron can be dissected into two square pyramidal prisms along an equatorial cube. It is a gyration of the octahedral prism, such that the two opposite edges are perpendicular, as opposed to how they would be parallel in the octahedral prism. This gyration thus splits the octahedral bases into square pyramids.

Vertex coordinates
Coordinates of the vertices of a dyadic gyrotegmipucofastegium of edge length 1 centered at the origin are given by:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,0,\,\frac{\sqrt2}{2}\right),$$
 * $$\left(0,\,±\frac12,\,0,\,-\frac{\sqrt2}{2}\right).$$