Truncated cubic prism

The truncated cubic prism or ticcup is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 truncated cubes, 4 octagonal prisms and 4 triangular prisms.

The truncated cubic prism can be vertex-inscribed into a small rhombated tesseract or small prismatotetracontoctachoron.

Vertex coordinates
The vertices of a truncated cubic prism of edge length 1 are given by all permutations and sign changes of the first three coordinates of:
 * (1/2, (1+$\sqrt{2+√2}$)/2, (1+$\sqrt{2+√2}$)/2, ±1/2)