Octadiminished hecatonicosihexapentacosiheptacontahexaexon

The octadiminished hecatonicosihexapentacosiheptacontahexaexon, or odinaq, is a convex scaliform polyexon, with 24 hexacontatetrapeta, 192 heptapeta, 96 hexadecachoric scalenes, and 8 tridiminished icosiheptaheptacontadipeta as facets.

Vertex coordinates
The vertices of an octadiminished hecatonicosihexapentacosiheptacontahexaexon of edge length 1, centered at the origin, are given by:
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,±\frac12,\,0,\,0\right)$$ and all permutations of the first 4 coordinates,
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,0,\,±\frac12,\,0\right)$$ and all even sign changes of the first 4 coordinates,
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,0,\,0,\,±\frac12\right)$$ and all odd sign changes of the first 4 coordinates.