Erdős #1087 · geometry / distances
Let be minimal such that every set of points in contains at most many sets of four points which are 'degenerate' in the sense that some pair are the same distance apart. Estimate -…
Problem statement
Let be minimal such that every set of points in contains at most many sets of four points which are 'degenerate' in the sense that some pair are the same distance apart. Estimate - in particular, is it true that ?
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Background
A question of Erdős and Purdy [ErPu71], who proved
Progress & source assessment
The source labels this entry OPEN in the 2026-09-08 snapshot. Editorial progress notes are reproduced as source commentary, not independently verified results. Prize amounts and Lean badges at the source are not local awards or verification.
- [1]Thomas Bloom (ed.), Erdős Problems #1087 link
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