Face embeddings of Archimedean solids
Metric Geometry
2026-03-27 v2
Abstract
We characterize the Archimedean solids among the convex uniform polyhedra via face embeddings into a regular Tetrahedron. This result has been listed without proof in the literature.
Cite
@article{arxiv.2404.15142,
title = {Face embeddings of Archimedean solids},
author = {Tommy Murphy and David Weed},
journal= {arXiv preprint arXiv:2404.15142},
year = {2026}
}
Comments
v2: to appear in BZAG. Packing results removed to appear in a subsequent work