Spindle Convexity

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 6 in Bodies of Constant Width, 2019, pp 127-142 from Springer

Abstract: Abstract Let h be a positive real number and let p and q be two points in Euclidean n-space $$\mathbb {E}^n$$ , no more than 2h apart. The h-interval determined by this pair of points is the intersection of all balls of radius h that contain p and q. We say that a set $$\phi $$ , with diameter less than or equal to 2h, is spindle h-convex if given a pair of points p and q in $$\phi $$ , the h-interval they determine is also in $$\phi $$ .

Date: 2019
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DOI: 10.1007/978-3-030-03868-7_6

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