Polyhedra in physics, chemistry and geometry

Details Polyhedra in physics, chemistry and geometry Polyhedra in physics, chemistry and geometry

2003-03-31

arxiv.org/abs/math-ph/0303071v1

Physics

Mathematical Physics

22 pages, including 9 figures. To appear in the Milan Journal of Mathematics

Scientific paper

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.

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