Isoradial bodies

René Brandenberg; Abhi Dattasharma; Peter Gritzmann; David Larman

doi:10.1007/s00454-004-1132-4

Isoradial bodies

René Brandenberg, Abhi Dattasharma, Peter Gritzmann, David Larman

Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

9 Zitate (Scopus)

Abstract

In this paper we show that for any dimension d ≥ 2 there exists a non-spherical strongly isoradial body, i.e., a non-spherical body of constant breadth, such that its orthogonal projections on any subspace has constant in- and circumradius. Besides the curiosity aspect of these bodies, they are highly relevant for the analysis of geometric inequalities between the radii and their extreme cases.

Originalsprache	Englisch
Seiten (von - bis)	447-457
Seitenumfang	11
Fachzeitschrift	Discrete and Computational Geometry
Jahrgang	32
Ausgabenummer	4
DOIs	https://doi.org/10.1007/s00454-004-1132-4
Publikationsstatus	Veröffentlicht - Nov. 2004

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10.1007/s00454-004-1132-4

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abstract = "In this paper we show that for any dimension d ≥ 2 there exists a non-spherical strongly isoradial body, i.e., a non-spherical body of constant breadth, such that its orthogonal projections on any subspace has constant in- and circumradius. Besides the curiosity aspect of these bodies, they are highly relevant for the analysis of geometric inequalities between the radii and their extreme cases.",

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AU - Gritzmann, Peter

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AB - In this paper we show that for any dimension d ≥ 2 there exists a non-spherical strongly isoradial body, i.e., a non-spherical body of constant breadth, such that its orthogonal projections on any subspace has constant in- and circumradius. Besides the curiosity aspect of these bodies, they are highly relevant for the analysis of geometric inequalities between the radii and their extreme cases.

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Isoradial bodies

Abstract

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