Hexacontatetrapetic prism

The hexacontatetrapetic prism or geep is a prismatic uniform polyexon that consists of 2 hexacontatetrapeta and 64 hexateric prisms as facets. Each vertex joins 1 hexacontatetrapeton and 32 hexateric prisms. As the name suggests, it is a prism based on the hexacontatetrapeton, which also makes it a convex segmentoexon.

The hexacontaterapetic prism can be vertex-inscribed into the hecatonicosihexapentacosiheptacontahexaexon.

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

Representations
A hexacontatetrapetic prism has the following Coxeter diagrams:


 * x o4o3o3o3o3x (full symmetry)
 * x o3o3o *c3o3o3x (half symmetry)