The Erdős distinct distances problem in $\mathbb{R}^3$

Published 14 Aug 2026 in math.CO and math.MG | (2608.14454v1)

Abstract: We prove that $N$ points in $\mathbb{R}<sup>3$ determine at least $N<sup>{2/3-o(1)}$ distinct distances.

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The Erdős distinct distances problem in R3\mathbb{R}^3R3