Discrete & Computational Geometry

, Volume 32, Issue 4, pp 447–457 | Cite as

Isoradial Bodies



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.


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Copyright information

© Springer 2004

Authors and Affiliations

  1. 1.Zentrum Mathematik, Technische Universität Müunchen, Boltzmannstr. 3, D-85747 Garching bei MünchenGermany
  2. 2.Strand Genomics Pvt. Ltd., 237 C V Raman Avenue, Bangalore 560080India
  3. 3.Department of Mathematics, University College London, London WC1E 6BTEngland

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