volume 32, issue 4, P447-457 2004
DOI: 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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