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There Are Integral Heptagons, no Three Points on a Line, no Four on a Circle
Authors:Tobias Kreisel  Sascha Kurz
Affiliation:(1) Department of Mathematics, University of Bayreuth, 95440 Bayreuth, Germany
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.
Keywords:Integral distances  Exhaustive search  Orderly generation  Solution to an Erdő  s problem
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