Isoradial Bodies

نویسندگان

René Brandenberg

Abhi Dattasharma

Peter Gritzmann

David G. Larman

چکیده

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 inand 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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