Clouds of planar convex bodies

• Autores: L. Szabó, Z. Ujváry-Menyhárt
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 63, Nº. 3, 2002, págs. 292-302
• Idioma: inglés
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• Resumen

  • Let {K, K1, ¿, Kn } be a family of convex bodies in the plane. We say that the bodies K1,..., Kn form a deep cloud around K if the bodies K, K1,..., Kn are mutually non-overlapping and every ray emanating from K intersects the interior of at least one of K1,..., Kn. In this paper we are concerned with the following question: What is the minimum number of congruent copies of a given convex body K forming a deep cloud around K?