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The Minimum Area of Convex Lattice n-Gons

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Let A(n) be the minimum area of convex lattice n-gons. We prove that lim A(n)/n 3 exists. Our computations suggest that the value of the limit is very close to 0.0185067....

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Authors and Affiliations

  1. Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1364 Budapest, Pf. 127, Hungary

    Imre Bárány*

  2. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    Imre Bárány*

  3. College of Education, Ryukyu University, Nishihara Okinawa, 903-0213, Japan

    Norihide Tokushige

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  1. Imre Bárány*
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  2. Norihide Tokushige
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Correspondence to Imre Bárány*.

Additional information

* Partially supported by Hungarian National Science Foundation Grants T 032452 and T 029255.

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Bárány*, I., Tokushige, N. The Minimum Area of Convex Lattice n-Gons. Combinatorica 24, 171–185 (2004). https://doi.org/10.1007/s00493-004-0012-0

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  • DOI: https://doi.org/10.1007/s00493-004-0012-0

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