paper

Unfolding Overlaps of the Exceptional Regular Polytopes

arXiv:2608.30285

Abstract

We find explicit ridge unfoldings of the three exceptional 4D polytopes (24-cell, 120-cell, 600-cell) that result in overlaps of their facets. These failures bring an end to the full classification of regular polytopes with the all-net property.

11 pages, 4 figures

Unfolding Overlaps of the Exceptional Regular Polytopes · wovepaper