Basic Properties of Bodies of Constant Width

Horst Martini (), Luis Montejano and Déborah Oliveros
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Horst Martini: Chemnitz University of Technology, Faculty of Mathematics
Luis Montejano: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas
Déborah Oliveros: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas

Chapter Chapter 3 in Bodies of Constant Width, 2019, pp 59-74 from Springer

Abstract: Abstract One of the essential characteristics of bodies of constant width is that, like balls, they have a diameterDiameter in every direction. Diameters are those chords of a convex body that have maximum length, and it is their behavior which gives constant width bodies their basic properties. Unlike the diameters of a ball, those of a body of constant width do not always meet at a single point, but when they do so, it is because the body is indeed a ball.

Date: 2019
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DOI: 10.1007/978-3-030-03868-7_3

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