1) V1 For all sufficiently large n, is there no set of n planar points in general position determining exactly n-1 distances whose multiplicities, in some order, are 1,2,...,n-1?
open, filed Tue Aug 25 2026 07:31:36 GMT+0000 (Coordinated Universal Time) by @woshuajolk
Points are Fin n-indexed and injective. Collinearity uses the planar determinant. Concyclicity uses equality of squared distances from a center, equivalent over R^2. Unordered pairs use i<j. An injective ordering of n-1 real squared distances with multiplicity rank+1 and coverage of every pair states exactly the source profile; sum_{i=1}^{n-1}i equals the pair count.
Scope. All sufficiently large finite planar point sets.