there is an interesting site here,
http://www.futilitycloset.com/?new=true
a representation of 1/7 in decimal on an ellipse.
the other pages are interesting as well,
quite amusing,
I agree it's fun. But isn't the 1/7 thing less surprising than it sounds? There are three pairs of pairs each of which (not by coincidence) adds up to (9,9). So what we really have here is three points lying on an ellipse with centre (9/2,9/2). That's not quite content-free -- e.g., there is no ellipse with centre (0,0) containing points (1,1), (100,1), (1,100) -- but it's close. Given a centre which wlog is (0,0) and three points, finding a *conic* with that centre passing through those points means finding A,B,C,F such that Axx+Bxy+Cyy=F for all three, and in general that has solutions. (I guess they're hyperbolae about as often as ellipses, and parabolae with probability zero.) The two-digit version is essentially the same thing: three pairs each adding up to (99,99). -- g