Atiyah, Michael; Sutcliffe, Paul Polyhedra in physics, chemistry and geometry. (English) Zbl 1050.52002 Milan J. Math. 71, 33-58 (2003). This is an expository survey paper about the appearance of convex three-dimensional polyhedra in several areas of modern physics and chemistry. Several of the examples concern the investigation of arrangements of points that minimize certain energy functions (e.g. electrons on a sphere). The presentation is lively and entertaining, but it does not follow more traditional terminology about polyhedra (e.g. as in G. M. Ziegler’s book ‘Lecture notes on polytopes’ (1995; Zbl 0823.52002)). Reviewer: Jesus A. De Loera (Davis) Cited in 20 Documents MSC: 52B10 Three-dimensional polytopes 52B55 Computational aspects related to convexity Keywords:convex polytopes; Platonic solids; minimal energy configurations; particle interaction; Thompson problem; skyrmions; fullerenes; geometric energies; Lennard-Jones clusters Citations:Zbl 0823.52002 PDFBibTeX XMLCite \textit{M. Atiyah} and \textit{P. Sutcliffe}, Milan J. Math. 71, 33--58 (2003; Zbl 1050.52002) Full Text: DOI arXiv