1. bookTom 30 (2022): Zeszyt 2 (May 2022)
Informacje o czasopiśmie
License
Format
Czasopismo
eISSN
1844-0835
Pierwsze wydanie
17 May 2013
Częstotliwość wydawania
1 raz w roku
Języki
Angielski
access type Otwarty dostęp

Ellipses surrounding convex bodies

Data publikacji: 02 Jun 2022
Tom & Zeszyt: Tom 30 (2022) - Zeszyt 2 (May 2022)
Zakres stron: 273 - 282
Otrzymano: 19 Jul 2021
Przyjęty: 25 Sep 2021
Informacje o czasopiśmie
License
Format
Czasopismo
eISSN
1844-0835
Pierwsze wydanie
17 May 2013
Częstotliwość wydawania
1 raz w roku
Języki
Angielski
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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