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Approximate Method for Solving the Problem of Lattice Packing of Equal Spheres in N−Dimensional Euclidean Space

by Maksim Lyalin

Posted: May 5, 2026
Server: Preprints.org
DOI: 10.20944/preprints202605.0225.v1

In the course of extending the obtained regularities of lattice packings corresponding to layered lattices of the “Lambda” series in dimensions 1–24 to groups of higher dimensions, a hypothesis was formulated about the density function of the densest lattice packing of equal spheres in n−dimensional Euclidean space. The hypothesis can be used as an approximate method for solving the problem of lattice packing of equal spheres in n−dimensional Euclidean space.

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