Brandenberg, R.; A. Dattasharma, P. Gritzmann and D. Larman
In this paper we show that for any dimension $d \ge 2$ 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.
Discrete & Computational Geometry
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik