When is a spherical body of constant diameter of constant width?
نویسندگان
چکیده
منابع مشابه
Convex Sets of Constant Width and -diameter
PETER HÄSTÖ, ZAIR IBRAGIMOV AND DAVID MINDA ABSTRACT. In this article we study -diameter of planar sets of constant width. We obtain analogues of the isodiametric inequality and the Blaschke-Lebesgue Theorem for -diameter of constant width sets. Namely, we prove that among all the sets of given constant width, disks have the smallest -diameter and Reuleaux triangles have the largest -diameter. ...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2020
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-020-00706-5