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This is my new favorite mathematical illustration.
(from Laminated Lattices by J. H. Conway and N. J. A. Sloane)
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…Taking the quotient of M by w itself, we get the Leech lattice. In this lattice each sphere touches 196560 others, which is the most one can attain, and again this is the only way to get 196560 spheres to touch a central one in 24 dimensions. This should be obvious by visualizing it. :-)
John Baez, Week 20 of This Week’s Finds in Mathematical Physics
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