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Convex solids whose point-source shadow-boundaries lie in hyperplanes

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Abstract

Extending Burton’s characterization of n-dimensional ellipsoids, we describe all n-dimensional closed convex sets in \({\mathbb{R}^n}\), possibly unbounded, whose shadow-boundaries with respect to point-source illumination lie in hyperplanes.

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Authors and Affiliations

  1. Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, VA, 22030, USA

    Valeriu Soltan

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  1. Valeriu Soltan
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Correspondence to Valeriu Soltan.

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Soltan, V. Convex solids whose point-source shadow-boundaries lie in hyperplanes. J. Geom. 103, 149–160 (2012). https://doi.org/10.1007/s00022-012-0114-6

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  • DOI: https://doi.org/10.1007/s00022-012-0114-6

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