29 Jan
2014
29 Jan
'14
9:54 a.m.
Very nice! And this is why I'm willing to put up with any amount of commentary on microwave ovens. On Jan 29, 2014, at 9:56 AM, Michael Kleber <michael.kleber@gmail.com> wrote:
I think you can do effectively the same thing as Adam without needing ideas like Gaussian integer GCD. Eric's problem asked about forming a new square with size "t" > "s", and that's because it's obvious you can never make a square that's *smaller* than the unit square you started with, as all points you ever get are part of the square lattice with the original square as its unit. But since the point-replacing process is invertible, if it can't give you a smaller square, it can't give you a larger one either.
--Michael