1. bookVolume 30 (2022): Edition 2 (May 2022)
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eISSN
1844-0835
Première parution
17 May 2013
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Anglais
access type Accès libre

Ellipses surrounding convex bodies

Publié en ligne: 02 Jun 2022
Volume & Edition: Volume 30 (2022) - Edition 2 (May 2022)
Pages: 273 - 282
Reçu: 19 Jul 2021
Accepté: 25 Sep 2021
Détails du magazine
License
Format
Magazine
eISSN
1844-0835
Première parution
17 May 2013
Périodicité
1 fois par an
Langues
Anglais
Abstract

If, for a double normal xx* of a convex body K, an ellipse Ex, x* is included in K, we say that E is surrounded by the boundary of K. If, instead, in the plane of E, K is included in the convex hull of E, then we say that E is surrounding K. In this paper we investigate surrounding and surrounded ellipses, particularly circles. We do this for arbitrary convex bodies, for polytopes, for convex bodies of constant width, and for most convex bodies (in the sense of Baire categories).

Keywords

MSC 2010

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