2003/03/31 by Michael Atiyah, Atiyah, Michael, Paul Sutcliffe +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0303071
22 pages, including 9 figures. To appear in the Milan Journal of Mathematics
arxiv created 2003/03/31 · openalex publication_date 2003/03/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we review some problems in physics, chemistry and mathematics that lead naturally to a class of polyhedra which include the Platonic solids. Examples include the study of electrons on a sphere, cages of carbon atoms, central configurations of gravitating point particles, rare gas microclusters, soliton models of nuclei, magnetic monopole scattering and geometrical problems concerning point particles.