#15. Only Two Distances
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Prompts for discussion:
The proof for the bound on the number of equidistant points was borrowed from this answer.
A natural question seems to be: what about three distances? Or n points and k distinct distances?
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.
