How evenly can s points spread before some triangle gets tiny? Exact growth of the optimal minimal-triangle area is open between log s/s² and n^-7/6.
The Problems
Not schoolwork — the questions that resisted Erdős, Hilbert, and everyone since. The club keeps three shelves: what is still open, what AI recently settled, and what took humanity centuries.
Tagged discrete-geometry — 2 entries. Clear
Is there a dense set in the plane with all mutual distances rational? Ulam's 1946 question — the natural candidates are ruled out, the general case open.