Irregular Packing on the Sphere

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Abstract

In Chapter 5 we have seen several extremal problems concerning families of points on the sphere whose solutions, with a n appropriate number of points, formed the configuration of vertices of a regular polyhedron with triangular faces. Now an interesting problem arises for the best distribution of, say, 7 points. Of course, it is not to be expected that, for an arbitrary number of points, any general rule will be given for the determination of the extremal configuration of the points, not even for the simplest problem of this kind.

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Fejes Tóth, L., Fejes Tóth, G., Kuperberg, W. (2023). Irregular Packing on the Sphere. In: Lagerungen. Grundlehren der mathematischen Wissenschaften, vol 360. Springer, Cham. https://doi.org/10.1007/978-3-031-21800-2_6

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