Anyone see any holes in this proof?
>25 points are chosen inside a regular hexagon of side length 10 furlongs.
>Prove that some number of them are at most 5 furlongs apart, and state the number.
cited proof: http://arxiv.org/abs/1009.4322
The one niggling issue i am having is with an assumption of mine - that the points lie on the edge of the hexagon.
Its kinda obvious that that is the best way to fit the maximum number of points in the hexagon, but I cant figure out how to prove it.