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Banach–Mazur distance of planar convex bodies

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We prove that the Banach–Mazur distance between arbitrary two planar convex bodies is at most 3. We also discuss a related distance which depends on affine-regular hexagons inscribed in the bodies.

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  1. Institute of Mathematics and Physics, University of Technology, ul. Kaliskiego 7, PL-85-796, Bydgoszcz, Poland

    Marek Lassak

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  1. Marek Lassak
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Correspondence to Marek Lassak.

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Manuscript received: April 21, 2006 and, in final form, December 1, 2006.

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Lassak, M. Banach–Mazur distance of planar convex bodies. Aequ. math. 74, 282–286 (2007). https://doi.org/10.1007/s00010-007-2874-x

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  • DOI: https://doi.org/10.1007/s00010-007-2874-x

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