Science Fan vs. Scientist
smbc-comics.com
smbc-comics.com
I linked to it in the "Mathematical and Scientific Joke Competition" thread: http://news.ycombinator.com/item?id=1089188
Offhand (mentally recites pi) I can come up with about 10 digits without using a calculator. If I ever need an approximation to pi to do a calculation, though, I go with either 22/7, 355/113, or 3.14159.
Suddenly this seems relevant again:
http://www.stanford.edu/~pgbovine/geek-behaviors.htm
(particularly the Obsessing over correctness and completeness bit).