Dyadic gyrotegmipucofastegium

The dyadic gyrotegmipucofastegium is a CRF segmentochoron (designated K-4.13 on Richard Klitzing's list). Its cells are 8 triangular prisms and 4 square pyramids.

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

It can be dissected into two square pyramidal prisms along an equatorial cube. It is a gyration of the octahedral prism.

Vertex coordinates
Coordinates of the vertices of a dyadic gyrotegmipucofastegium of edge length 1 centered at the origin are given by:
 * (±1/2, ±1/2, ±1/2, 0),
 * (±1/2, 0, 0, $\sqrt{3}$/2),
 * (0, ±1/2, 0, $\sqrt{2}$/2).