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Planar sections of three-dimensional cylinders

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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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Authors and Affiliations

  1. St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

    V. V. Makeev

Authors
  1. V. V. Makeev
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Correspondence to V. V. Makeev.

Additional information

Original Russian Text © V.V. Makeev, 2016, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2016, No. 4, pp. 625–627.

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Makeev, V.V. Planar sections of three-dimensional cylinders. Vestnik St.Petersb. Univ.Math. 49, 359–360 (2016). https://doi.org/10.3103/S1063454116040099

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  • DOI: https://doi.org/10.3103/S1063454116040099

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