
Journal of Convex Analysis 29 (2022), No. 3, 921928 Copyright Heldermann Verlag 2022 Approximation of Spherical Bodies of Constant Width and Reduced Bodies Marek Lassak University of Science and Technology, Bydgoszcz, Poland lassak@pbs.edu.pl We present a spherical version of the theorem of Blaschke that every body of constant width w < π/2 can be approximated by a body of constant width w whose boundary consists only of pieces of circles of radius w as well as we wish in the sense of the Hausdorff distance. This is a special case of our theorem about approximation of spherical reduced bodies. Keywords: Sphere, spherical convex body, body of constant width, reduced body, Hausdorff distance, approximation. MSC: 52A55. [ Fulltextpdf (116 KB)] for subscribers only. 