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In 2006, Tobias Kreisel and Sascha Kurz found a set of seven points, all at integer distances from each other. Mathematica's text rotation and offset capabilities let you label the 21 lines with their distances in different ways.

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      EUN,LOM,LRE4,work-cmr-id:397138,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/LabelingTheIntegerHeptagon/,ilox,learning resource exchange,LRE metadata application profile,LRE

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