Let $d \geq 2$ and $n \geq 2$ . Let $f_{d} (n)$ be maximal such that there exists some set of $n$ points $A \subseteq R^{d}$ , with diameter $1$ , in which the distance 1 occurs between $f_{d} (n)$ many pairs of points in $A$ . Estimate $f_{d} (n)$ .

Worked, still open.

geometry · solved · possible · 0 attempts

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