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arxiv: 0804.1303 · v1 · submitted 2008-04-08 · 🧮 math.CO

There are integral heptagons, no three points on a line, no four on a circle

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keywords pointscirclefourintegrallinethreeanswersconfigurations
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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 Erd\H{o}s.

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