Abstract | ||
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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. |
Year | DOI | Venue |
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2004 | 10.1007/s00454-004-1132-4 | Discrete & Computational Geometry |
Keywords | DocType | Volume |
Computational Mathematic,Extreme Case,Orthogonal Projection,Constant Breadth,Geometric Inequality | Journal | 32 |
Issue | ISSN | Citations |
4 | 0179-5376 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
René Brandenberg | 1 | 16 | 4.08 |
Abhi Dattasharma | 2 | 19 | 3.39 |
Peter Gritzmann | 3 | 412 | 46.93 |
David G. Larman | 4 | 24 | 5.69 |