Permanent problem IDPPL 084
Geometry
Let A⊆ℝ^2 be a set of n points with minimum distance equal to 1, chosen to minimise the diameter of A. If n is sufficiently large then must there be three points in A which form an equilateral triangle of size 1?
Let A⊆ℝ^2 be a set of n points with minimum distance equal to 1, chosen to minimise the diameter of A. If n is sufficiently large then must there be three points in A which form an equilateral triangle of size 1?
A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.