Discrete & Computational Geometry

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

Isoradial Bodies

  • René BrandenbergEmail author
  • Abhi DattasharmaEmail author
  • Peter GritzmannEmail author
  • David LarmanEmail author


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.


Computational Mathematic Extreme Case Orthogonal Projection Constant Breadth Geometric Inequality 
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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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