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Sep 28, 2010 at 18:02 comment added Will Jagy This is very nice, Franz. The doubling $\pmod 1$ shows why the point with all coordinates $\frac{3}{4}$ and the one with all coordinates $\frac{1}{4}$ work the same way.
Sep 28, 2010 at 17:58 vote accept Will Jagy
Sep 28, 2010 at 12:55 history edited Franz Lemmermeyer CC BY-SA 2.5
added 1036 characters in body
Sep 28, 2010 at 7:29 history answered Franz Lemmermeyer CC BY-SA 2.5