Icositetrachoric prism

The icositetrachoric prism or icope is a prismatic uniform polyteron that consists of 2 icositetrachora and 24 octahedral prisms. 1 icositetrachoron and 6 octahedral prisms join at each vertex. As the name suggests, it is a prism based on the icositetrachoro, which also makes it a convex segmentoteron.

The icositetrachoric prism contains the vertices of a regular penteract.

Vertex coordinates
The vertices of an icositetrachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * $$\left(±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0,\,±\frac12\right).$$