1. bookVolumen 30 (2022): Edición 2 (May 2022)
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1844-0835
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17 May 2013
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Ellipses surrounding convex bodies

Publicado en línea: 02 Jun 2022
Volumen & Edición: Volumen 30 (2022) - Edición 2 (May 2022)
Páginas: 273 - 282
Recibido: 19 Jul 2021
Aceptado: 25 Sep 2021
Detalles de la revista
License
Formato
Revista
eISSN
1844-0835
Primera edición
17 May 2013
Calendario de la edición
1 tiempo por año
Idiomas
Inglés
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).

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MSC 2010

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