Icosiheptaheptacontadipetic prism

The icosiheptaheptacontadipetic prism or jakip is a prismatic uniform polyexon that consists of 2 icosiheptaheptacontadipeta, 27 triacontaditeric prisms, and 72 hexateric prisms as facets. Each vertex joins 1 icosiheptaheptacontadipeton, 10 triacontaditeric prisms, and 16 hexateric prisms. As the name suggests, it is a prism based on the icosiheptaheptacontadipeton, which also makes it a convex segmentoexon.

Vertex coordinates
The vertices of an icosiheptaheptacontadipetic prism of edge length 1, centered at the origin, are given by:
 * $$\left(0,\,0,\,0,\,0,\,0,\,\frac{\sqrt6}{3},\,±\frac12\right),$$
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt6}{12},\,±\frac12\right)$$ and all even sign changes of the first five coordinates,
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,-\frac{\sqrt6}{6},\,±\frac12\right)$$ and all permutations of first 5 coordinates.