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A nonparallel cylinder packing with positive density

Published online by Cambridge University Press:  26 February 2010

Krystyna Kuperberg
Krystyna Kuperberg
Affiliation:
Department of Foundations, Analysis and Topology, Auburn University, Alabama 36849-5310, U.S.A.
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Abstract

There exists a family of pairwise disjoint congruent infinite circular cylinders such that no two cylinders of are parallel and the density of is greater than zero.

Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 324 - 331
Copyright
Copyright © University College London 1990

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References

1. Bezdek, A. and Kuperberg, W.. Maximum density space packing with congruent circular cylinders of infinite length. Mathematika, 37 (1990), 74–80.CrossRefGoogle Scholar
2. Tóth, L. Fejes. Regular Figures (Pergamon Press, Oxford, 1964).Google Scholar