Omigosh! We sang the "Yankee Doodle Dandy" song, too! There was a campy rush skit with different eras, and that was from the 1920's era. You're the first sister outside of my chapter who ever heard of it!
I don't know the Pi Guy Song, though - it sounds wonderful! We just had a Black Diamond Beau, though - no Pi Guys.
As my roomie used to say, "Many tried, but no one made it..."!