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He'd been working with... Jim Ax for two decades on a theory that is now contradicted by... [our] . ...I admire Simon tremendously. - John Horton Conway
" "He'd been working with... Jim Ax for two decades on a theory that is now contradicted by... [our] . ...I admire Simon tremendously.
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About John Horton Conway
John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician, and Professor Emeritus of Mathematics at Princeton University in New Jersey. He was active in the theory of s, , number theory, and . He also made contributions to many branches of , most notably the invention of the with . Born and raised in , Conway spent the first half of his career at the University of Cambridge before moving to the United States, where he held the John von Neumann Professorship at Princeton University for the rest of his career. He died of complications from COVID-19 at age 82.
Also Known As
Alternative Names:
John H. Conway
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JHC
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John Conway
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Conway
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The classical... problem is... how densely a large number of identical spheres ([e.g.,] ball bearings...) can be packed together. ...[C]onsider an aircraft hangar... [A]bout one quarter of the space will not be used... One... arrangement... the face-centered cubic (or fcc) lattice... spheres occupy <math>\pi / \sqrt{18} = .7405...</math> of the total space.... the lattice packing has density <math>.7405...</math> . [H]pwever, there are partial packings that are denser than the face-centered cubic... over larger regions...
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