Polyhedra in physics, chemistry and geometry
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0303071,
title = {Polyhedra in physics, chemistry and geometry},
author = {Michael Atiyah and Paul Sutcliffe},
journal= {arXiv preprint arXiv:math-ph/0303071},
year = {2007}
}
Comments
22 pages, including 9 figures. To appear in the Milan Journal of Mathematics