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Published in:
2019 | OriginalPaper | Chapter
6. Spindle Convexity
Authors : Horst Martini, Luis Montejano, Déborah Oliveros
Published in: Bodies of Constant Width
Publisher: Springer International Publishing
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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 \(\phi \).