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Minkowski Circle Packings on the Sphere
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  • Published: September 1999

Minkowski Circle Packings on the Sphere

  • L. Fejes Tóth1 

Discrete & Computational Geometry volume 22, pages 161–166 (1999)Cite this article

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Abstract.

We consider n caps on the sphere such that none of them contains in its interior the center of another. We give an upper bound for the total area of the caps, which is sharp for n = 3 , 4, 6, and 12 and is asymptotically sharp for great values of n .

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Authors and Affiliations

  1. Mathematical Institute, Hungarian Academy of Sciences, Pf 127, H-1364 Budapest, Hungary, , , , , , HU

    L. Fejes Tóth

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  1. L. Fejes Tóth
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Received September 11, 1997, and in revised form March 2, 1998.

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Fejes Tóth, L. Minkowski Circle Packings on the Sphere. Discrete Comput Geom 22, 161–166 (1999). https://doi.org/10.1007/PL00009451

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  • Issue Date: September 1999

  • DOI: https://doi.org/10.1007/PL00009451

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Keywords

  • Circle Packing
  • Minkowski Circle
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