Email this article Affine Diameters of a Convex Body
- Authors: Makeev V.V.1, Zvagel’skii M.Y.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 212, No 5 (2016)
- Pages: 542-543
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237058
- DOI: https://doi.org/10.1007/s10958-016-2684-6
- ID: 237058
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Abstract
We prove that each convex body in ℝn has n pairwise orthogonal affine diameters d1, . . . , dn such that it is possible to shift each of them through a linear combination of direction vectors of the diameters with smaller numbers so that their translates will intersect at their common midpoint.
About the authors
V. V. Makeev
St. Petersburg State University
Author for correspondence.
Email: mvv57@inbox.ru
Russian Federation, St. Petersburg
M. Yu. Zvagel’skii
St. Petersburg State University
Email: mvv57@inbox.ru
Russian Federation, St. Petersburg
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