MathDB

3

Part of 1982 Canada National Olympiad

Problems(1)

Points with irrational distance from at least one of points

Source: Canada National Mathematical Olympiad 1982 - Problem 3

9/30/2011
Let Rn\mathbb{R}^n be the nn-dimensional Euclidean space. Determine the smallest number g(n)g(n) of a points of a set in Rn\mathbb{R}^n such that every point in Rn\mathbb{R}^n is an irrational distance from at least one point in that set.
trigonometrycombinatorics unsolvedcombinatorics