On Contact Numbers of Finite Lattice Sphere Packings of 20-27 Balls
Istvan Szalkai
TL;DR
This paper presents empirical constructions of finite lattice sphere packings with 20-27 balls that achieve maximal contact numbers, contributing to the understanding of dense packings.
Contribution
It introduces empirical methods to construct lattice sphere packings with maximal contact numbers for 20-27 balls, identifying best-known configurations.
Findings
Empirical constructions for 20-27 ball packings with maximal contacts.
Identification of best-known lattice configurations.
Advancement in understanding dense finite sphere packings.
Abstract
Empirical constructions having maximal contact numbers of unit balls as putative best ones are presented for 20-27 balls.
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Taxonomy
TopicsPoint processes and geometric inequalities · Computational Geometry and Mesh Generation · Quasicrystal Structures and Properties