Symmetry, topology and the maximum number of mutually pairwise-touching infinite cylinders: configuration classification

We provide a complete classification of possible configurations of mutually pairwise-touching infinite cylinders in Euclidian three-dimensional space. It turns out that there is a maximum number of such cylinders possible in three dimensions independently of the shape of the cylinder cross-sections....

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Bibliographic Details
Main Authors: Peter V. Pikhitsa, Stanislaw Pikhitsa
Format: Article
Language:English
Published: The Royal Society 2017-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.160729