151 citations
- Max Planck Institute for the Physics of Complex SystemsDE6 papers
- University of South AfricaZA4 papers
- University of WarwickGB4 papers
- Charles UniversityCZ3 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ3 papers
- Technische Universität DresdenDE3 papers
- Bielefeld UniversityDE2 papers
- Constructor UniversityDE2 papers
- Deutsche ForschungsgemeinschaftDE2 papers
- Durham UniversityGB2 papers
- Friedrich Schiller University JenaDE2 papers
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Showing 2007 · math.MGShow all
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math.MG2007★ 151 cited
The geometry of Minkowski spaces -- a survey. Part I
Horst Martini, Konrad J Swanepoel, Gunter Weiss
We survey elementary results in Minkowski spaces (i.e. finite dimensional Banach spaces) that deserve to be collected together, and give simple proofs for some of them. We place sp…
math.MG2007★ 35 cited
Unit distances and diameters in Euclidean spaces
Konrad J Swanepoel
We show that the maximum number of unit distances or of diameters in a set of n points in d-dimensional Euclidean space is attained only by specific types of Lenz constructions, fo…