On Google+:
Why e^(pi * sqrt(163)) is almost, but not quite, an integer, and how it relates to a pretty function called the Klein j-invariant. With some pictures, and bonus references to Ozma of Oz and an April Fool prank by Martin Gardner.
I am a piker compared to
oonh, and there's some handwaving in the math because I don't understand it all, but I had fun playing with this.