The Three Gap Theorem is proven in http://arxiv.org/abs/cs.LO/0609124 and is
stated as follows:
Consider the distribution of N points placed consecutively around the circle
by a fixed angle. The Steinhaus conjecture states: the N points partition
the circle into gaps of at most three different lengths.

Or
   stepsize=:%/ 2 [EMAIL PROTECTED] 100x
   nrstps=:i.?1000x
   3 >:  #~.2-/\ /:~ (x:o.1) | nrstps * stepsize
1


R.E. Boss



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