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On Universal Covers for Four-Dimensional Sets of a Given Diameter
Lángi, Zsolt
2010
Abstract
Makeev proved that among centrally symmetric four-dimensional polytopes, with more than twenty facets and circumscribed about the Euclidean ball of diameter one, there is no universal cover for the family of unit diameter sets. In this paper we examine the converse problem, and prove that each centrally symmetric polytope, with at most fourteen facets and circumscribed about the Euclidean ball of diameter one, is a universal cover for the family of unit diameter sets.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010)
Publisher
EUT Edizioni Università di Trieste
Source
Zsolt Lángi, "On Universal Covers for Four-Dimensional Sets of a Given Diameter", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 (2010), pp. 59-64.
Languages
en
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