#15. Only Two Distances

Published

16 Nov, 2023

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Prompts for discussion:

  1. The proof for the bound on the number of equidistant points was borrowed from this answer.

  2. A natural question seems to be: what about three distances? Or \(n\) points and \(k\) distinct distances?

  3. What the number of points where one distance is seen at most \(p\) times and the other is seen at most \(q\) times? In particular, I was wondering if we could get to an “almost one distance” situation by saying that the “other distance” does not manifest frequently.