MathDB

5

Part of 1974 Dutch Mathematical Olympiad

Problems(1)

n+1 points, n of them collinear and each pair at integer distances

Source: Netherlands - Dutch NMO 1974, year 1974-75 (also named as 1975 -1) p5

1/27/2023
For every nāˆˆNn \in N, is it possible to make a figure consisting of n+1n+1 points, where nn points lie on one line and one point is not on that line, so that each pair of those points is an integer distance from each other?
geometrycombinatoricscombinatorial geometry