Simon writes: << I have been collecting some old ideas with graphs, especially the ones related to distributions mod 1, this is used to be my favorite hobby, . . .

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. . . and then you hit puberty? Just kidding. These are fascinating graphics. Let me make sure I get it: Using various criteria, you get a whole bunch of empirical distributions mod 1, i.e. largish finite subsets of [0,1) -- and then you plot these on a circle by x -> exp(2pi i x), and finally you connect all pairs of these points on the circle to get a (largish) union of chords of the circle. (Or is something else going on?) Sometime in the past year I recall discussing (here?) the limiting *2D* distribution of [n points chosen from a circle at random, yielding all the points *inside* the circle determined by *intersections* of pairs of chords connecting the n points] -- as n -> oo. I think I see a general way to use the answer to this relatively simple question in order to describe the limiting 2D distributions suggesed by Simon's graphics . . . but more specificallly the limiting distributions of the *intersection points* of the chords (rather than those of the chords themselves, which looks a bit harder). --Dan