The Colossal Book of Mathematics

By M. Gardner. 2001

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Edwards Statistical Mechanics for Jammed Granular Matter (2016, background): “In fact, a conjecture attributed to Ulam (recorded in the book (Gardner, 2001)) in the context of regular packings, recently also formulated for random packings (Jiao and Torquato, 2011), states that the sphere is, indeed, the worst packing object among all convex shapes.”
Jammed hard-particle packings: From Kepler to Bernal and beyond (2010, result): “These results are consistent with a conjecture of Ulam who proposed without any justification [in a private communication to Martin Gardner (Gardner, 2001)] that the optimal packing fraction for congruent sphere packings is smaller than that for any other convex body.”