Around a circle i place 64 equally spaced points, so that there are 64x63 divided by2=2016 possible chords between these points. I draw some of these chords, but each chord cannot cut across more than one other chord. What is the maximum number of chords I can draw?

Question

Could someone please give me a head start on how i should approach this problem. Its been bugging me for weeks, thanks.

Answer 1

try nesting polygons
... going from the outside in

connecting adjacent points gives 64 sides (chords)

every other point gives 32 sides

every 3rd point. etc...