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Timeline for Integer-distance sets

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Jul 18, 2013 at 10:33 vote accept Joseph O'Rourke
Jul 17, 2013 at 13:40 comment added Daniel m3 @Joseph O'Rourke: The answer is the same in $\mathbb{R}^d$ with $d \ge 3$. See e.g. the original paper by N. H. Anning and P. Erdős: ams.org/journals/bull/1945-51-08/S0002-9904-1945-08407-9/…
Jul 17, 2013 at 12:56 comment added Daniel m3 @Carl: It is not an unsolved problem anymore. Such a set has been constructed by T. Kreisel and S. Kurz in 2008: arxiv.org/abs/0804.1303v1
Jul 17, 2013 at 12:31 comment added Joseph O'Rourke Well, that's a surprise, that there are no infinite noncollinear integer-distance sets in the plane! Could there be in higher dimensions?
Jul 17, 2013 at 7:51 comment added user25199 Is there a published reference for the "famous unsolved problem" at the end of the link?
Jul 17, 2013 at 2:12 history answered Robert Israel CC BY-SA 3.0