Teased a few colleagues today with a goofy little math problem...

Which is bigger (i.e., magnitude), i^pi or pi^i ?

One is quite obvious using DeMoivre's formulas. The other takes a little bit of paper and pencil (or you can wimp out and first try it on a calculator) ;) Also, can you geometrically explain pi^i? Hmmmmm.

Have fun.

*Edited: 30 Mar 2007, 12:20 a.m. *