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- W2085187536 abstract "Abstract How must a sphere be covered by n equal circles so that the angular radius of the circles will be as small as possible? In this paper, conjectured solutions of this problem for n = 15 to 20 are given and some sporadic results for n > 20 ( n = 22, 26, 38, 42, 50) are presented. The local optima are obtained by using a ‘cooling technique’ based on the theory of bar-and-joint structures. Thus the graph of the coverings by circles is considered as a spherical cable net in which the edge lengths are uniformly decreased, e.g. due to a uniform decrease in the temperature, until the graph becomes rigid and tensile stresses appear in the cables." @default.
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- W2085187536 date "1991-07-01" @default.
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- W2085187536 title "Covering a sphere by equal circles, and the rigidity of its graph" @default.
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- W2085187536 doi "https://doi.org/10.1017/s0305004100070134" @default.
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