No Repeated Distances

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Pick lattice points so that all distances between two points are unique. What is the tightest packing of these points? This Demonstration shows the best known results, as given in [1].

Contributed by: Ed Pegg Jr (May 2013)
Based on results of a contest by Al Zimmermann
Open content licensed under CC BY-NC-SA



The tightest packing problem was the subject of [1]. Of the many participants, the winner was Hugo Pfoertner.


[1] A. Zimmermann. "Al Zimmermann's Programming Contests: Point Packing." (Oct 10, 2009)

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