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Transport Properties of Touching Cylinder Pairs and of the Square Array of Touching Cylinders

✍ Scribed by McPhedran, R. C.; Milton, G. W.


Book ID
120150761
Publisher
The Royal Society
Year
1987
Tongue
English
Weight
376 KB
Volume
411
Category
Article
ISSN
0962-8444

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✍ AladΓ‘r Heppes; LΓ‘szlΓ³ SzabΓ³ πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 248 KB

The following problem is due to W. Kuperberg. What is the maximum number of non-overlapping unit cylinders (a set in E 3 consisting of points whose distance from some line does not exceed I) that can be simultaneously tangent to a unit ball? In this paper we prove that this number is at most 8. It i