Abstract
We generate nonlattice packings of spheres in up to 22 dimensions using the geometrical constraint satisfaction algorithm RRR. Our aggregated data suggest that it is easy to double the density of Ball's lower bound and, more tentatively, that the exponential decay rate of the density can be improved relative to Minkowski's longstanding 1/2.
- Received 25 May 2023
- Accepted 24 July 2023
DOI:https://doi.org/10.1103/PhysRevE.108.034117
©2023 American Physical Society
Physics Subject Headings (PhySH)
Statistical Physics & Thermodynamics
synopsis
synopsisPacking Spheres in High Dimensions
Published 21 September 2023
An algorithm originally developed for imaging generates useful data for a problem in pure mathematics.
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