A propos the sunflower: Let a circle have unit circumference: C = R/Z, and let tau be (sqrt(5)-1)/2. For any sequence S = {x_n in C | n=1,2,3,...}, define M_n(S) as the length of the largest arc of C in the complement of {x_1,...,x_n}. Claim (?): The sequence in C S_tau := {x_n := n*tau (mod Z) | n=1,2,3,...} is the (unique ?) sequence S whose maximum gap M_n(S), as a function of n, decreases *in some sense* faster than that of any other sequence in C. Of course, there are sequences T for which M_n(T) = 1/n (the minimum possible and for n > 1 always < M_n(S_tau)) for an unbounded set of values of n. SO: Can someone state the claim rigorously and correctly? --Dan ________________________________________________________________________________________ It goes without saying that .