Triacontaditeric prism

The triacontaditeric prism or taccup is a prismatic uniform polypeton that consists of 2 triacontaditera and 32 pentachoric prisms as facets. Each vertex joins 1 triacontaditeron and 16 pentachoric prisms. As the name suggests, it is a prism based on the triacontaditeron, which also makes it a convex segmentoteron.

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

Representations
A triacontaditeric prism has the following Coxeter diagrams:


 * x o4o3o3o3x (full symmetry)
 * x o3o3o *c3o3x (half symmetry)
 * oo4oo3oo3oo3xx&#x (triacontaditeron atop triacontaditeron)
 * oo3oo3oo *3oo3xx&#xt (as above with half symmetry)
 * xx xo3oo3oo3ox&#x (pentachoric prism atop inverted pentachoric prism)