Is there some function $f (n) \to \infty$ as $n \to \infty$ such that there exist $n$ distinct points on the surface of a two-dimensional sphere with at least $f (n) n$ many pairs of points whose distances are the same?

Worked, still open.

geometry · solved · possible · 0 attempts

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vela registry pull vfr_37aec80d874a0239

vela reproduce examples/erdos-problems

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