Bidodecateric heptacontadipeton

The bidodecateric heptacontadipeton, is a convex noble polypeton with 72 identical bidodecatera as peta. It can be obtained as the convex hull of an icosiheptaheptacontadipeton and its central inversion, with pairs of hexateral facets lying in common hyperplanes.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt6}{2}$$ ≈ 1:1.22474.

Vertex coordinates
Coordinates for the vertices of a bidodecateric heptacontadipeton, based on two icosiheptaheptacontadipeta of edge length 1, centered at the origin, are given by:
 * $$\left(0,\,0,\,0,\,0,\,0,\,±\frac{\sqrt6}{3}\right),$$
 * $$±\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt6}{12}\right)$$ and all even sign changes of the first five coordinates,
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,±\frac{\sqrt6}{6}\right)$$ and all permutations of first 5 coordinates.