The Kissing Numbers of Convex Bodies -- A Brief Survey |
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| Authors: | Zong C |
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| Institution: | Department of Mathematics, University College London Gower Street, London WC1E 6BT
Institute of Mathematics, The Chinese Academy of Sciences Beijing 100080, P. R. China |
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| Abstract: | Nearly four hundred years ago, the cubic close-packing of equalspheres in R3 was discovered by Kepler 21], in which each spheretouches 12 others. In 1694, Gregory and Newton discussed thefollowing thirteen spheres problem. Can a rigid material spherebe brought into contact with 13 other such spheres of the samesize? Gregory believed ‘yes’, while Newton thought‘no’. 1991 Mathematics Subject Classication 11H31,52C17. |
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