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THE KISSING NUMBERS OF CONVEX BODIES — A BRIEF SURVEY

  • C. ZONG (a1) (a2)

Abstract

Nearly four hundred years ago, the cubic close-packing of equal spheres in R3 was discovered by Kepler [21], in which each sphere touches 12 others. In 1694, Gregory and Newton discussed the following thirteen spheres problem. Can a rigid material sphere be brought into contact with 13 other such spheres of the same size? Gregory believed ‘yes’, while Newton thought ‘no’.

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THE KISSING NUMBERS OF CONVEX BODIES — A BRIEF SURVEY

  • C. ZONG (a1) (a2)

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