The Six Cylinders Problem: $\mathbb{D}_{3}$-symmetry Approach
Metric Geometry
2019-05-13 v2
Abstract
Motivated by a question of W. Kuperberg, we study the 18-dimensional manifold of configurations of 6 non-intersecting infinite cylinders of radius all touching the unit ball in We find a configuration with We believe that this value is the maximal possible.
Keywords
Cite
@article{arxiv.1805.09833,
title = {The Six Cylinders Problem: $\mathbb{D}_{3}$-symmetry Approach},
author = {Oleg Ogievetsky and Senya Shlosman},
journal= {arXiv preprint arXiv:1805.09833},
year = {2019}
}