Here's the 57-cell in vZome with lots of strut crossings:
Is it possible to construct the 57-cell in vZome without any strut crossings? That is, 57 nodes, 171 struts, in the 57-cell / Perkel graph configuration, with no struts going through other struts or clipping nodes?
A Mathematica version is at 57-cell. The vZome version is at 57cell.vZome.
I'll pay $57 for the first solution with no trickery of any kind. All of the strut-types currently defined in vZome are allowable.