On the Number of Mutually Touching Cylinders
نویسنده
چکیده
In a three-dimensional arrangement of 25 congruent nonoverlapping infinite circular cylinders there are always two that do not touch each other.
منابع مشابه
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. We give the explanation of the uniqueness of the non-trivial configuration of seven equal mutual...
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تاریخ انتشار 2005