There Are Integral Heptagons, no Three Points on a Line, no Four on a Circle

Authors:
Tobias Kreisel;Sascha Kurz
Affiliations:
University of Bayreuth, Department of Mathematics, 95440, Bayreuth, Germany;University of Bayreuth, Department of Mathematics, 95440, Bayreuth, Germany
Venue:
Discrete & Computational Geometry
Year:
2008

Citing 0
Cited 2

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Journal of Combinatorial Theory Series A

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Abstract

We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of Paul Erdős.