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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Optimizing the arrangement of points on the unit sphere


Authors: Joel Berman and Kit Hanes
Journal: Math. Comp. 31 (1977), 1006-1008
MSC: Primary 52-04; Secondary 52A15, 90C30
MathSciNet review: 0478006
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Abstract: This paper is concerned with the problem of placing N points on the unit sphere in $ {E^3}$ so as to maximize the sum of their mutual distances. A necessary condition is proved which led to a computer algorithm. This in turn led to the apparent best arrangements for values of N from 5 to 10 inclusive.


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DOI: https://doi.org/10.1090/S0025-5718-1977-0478006-1
Article copyright: © Copyright 1977 American Mathematical Society