Mathematics > Metric Geometry
arXiv:2606.22605 (math)
[Submitted on 21 Jun 2026]
Abstract:J.E. Littlewood posed the question of how many infinite circular cylinders of unit radius can be arranged so that each touches all the others. We give a computer-free proof that one cannot find ten such cylinders. This improves a known result, namely that there are no eleven such cylinders, which was obtained making partial use of computer verification.
Submission history
From: Roland Höfer [view email]
[v1]
Sun, 21 Jun 2026 17:23:45 UTC (588 KB)
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