Anyone see any holes in this proof?
Question:
>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
>>7796510
>furlongs
P good bait op
>>7796515
it was just a quirk of the question. I copied it verbatim.
obviously the units dont matter
bump please
yep its an old one. it leaves the less space between circles and the perfect arrangement for circle arrays
>>7797243
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.
>>7797245
> but I cant figure out how to prove it.
easy. just tell them to either disprove it or fuck off :^)