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The code responsible for enumerating goat teleportation (on very low contrast page): http://100-geek.net/articles/goats_teleported

One thing this page noticed that I hadn't previously was the comment // See design doc at http://go/at-teleporter for more information.

I believe that's a Google intranet page, and so this story is left hanging for the non-Googlers among us.

kNuthMagicNumber?

Looks like golden ratio (phi, about 1.618) * 2^30. Maybe something to do with Knuth's Surreal Numbers? (http://www-cs-faculty.stanford.edu/~uno/sn.html)