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On sphere packings of arbitrarily low density
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Werner Fischer
Published/Copyright:
September 25, 2009
Abstract
The search for a least dense packing of spheres (circles) makes sense only under suitable restrictions because otherwise sphere packings of arbitrarily low density may be constructed. An effective restriction is that all spheres have to be symmetrically equivalent. It has been tried to weaken this condition such that the spheres (circles) have only to be equal in size as well as in their number of contacts. It turned out, however, that even then series of packings may be derived within which the density approaches zero. Examples for such series are presented.
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Published Online: 2009-9-25
Published in Print: 2005-7-1
© by Oldenbourg Wissenschaftsverlag, München
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