Email this article Planar sections of three-dimensional cylinders
- Authors: Makeev V.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 49, No 4 (2016)
- Pages: 359-360
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185619
- DOI: https://doi.org/10.3103/S1063454116040099
- ID: 185619
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Abstract
Is it true that every interior point of a three-dimensional convex body lies on its planar section with an inscribed regular hexagon and the center of a centrally symmetric convex body lies on a planar section with an inscribed regular octagon? In this paper, we prove these propositions for cylinders of a special type.
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About the authors
V. V. Makeev
St. Petersburg State University
Author for correspondence.
Email: mvv57@inbox.ru
Russian Federation, Universitetskaya nab. 7/9, St. Petersburg, 199034
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