From the Icosahedron to E8
作者： John C. Baez
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摘要: The regular icosahedron is connected to many exceptional objects in mathematics. Here we describe two constructions of the $\mathrm{E}_8$ lattice from icosahedron. One uses a subring quaternions called "icosians", while other du Val's work on resolution Kleinian singularities. Together they link golden ratio, quaternions, quintic equation, 600-cell, and Poincare homology 3-sphere. We leave it as challenge reader find connection between these constructions.
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harvard.edu参考文章(8)
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