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The sphere packing problem into bounded containers in three-dimension non-Euclidean space

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Abstract This paper deals with the problem of optimal packing a given number of equal spheres into different closed sets. We consider the problem both in three-dimensional Euclidean and non-Euclidean… Click to show full abstract

Abstract This paper deals with the problem of optimal packing a given number of equal spheres into different closed sets. We consider the problem both in three-dimensional Euclidean and non-Euclidean spaces. The special algorithm based on optical-geometric approach is suggested and implemented. This approach is previously used only for packing circles in two-dimensional space. Numerical results are presented and discussed.

Keywords: space; problem bounded; non euclidean; problem; sphere packing; packing problem

Journal Title: IFAC-PapersOnLine
Year Published: 2018

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