Abstract
How can one pack m unit spheres in En such that the volume or the surface area of their convex hull is minimal?
Let m be a positive integer, and let u be a unit vector in En. Then, we define
, it can be regarded as a local density of Sn + Lm in Sm,n. By routine computation it follows that
Based on this observation, in 1975 L. Fejes Tóth [10] made the following conjecture about the volume case of the above problem.
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© 1999 Springer-Verlag New York, Inc.
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(1999). Finite Sphere Packings. In: Talbot, J. (eds) Sphere Packings. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22780-1_13
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DOI: https://doi.org/10.1007/978-0-387-22780-1_13
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