Skewb

 The Skewb - crazy deep slice puzzle!

Wikipedia page: http://en.wikipedia.org/wiki/Skewb

Jaap's page: http://www.jaapsch.net/puzzles/skewb.htm

Here's a nice easy one-algorithm solution by current world record holder Chris Bird (aka monkeydude1313) that replaces his previous YouTube tutorials...

http://www.youtube.com/watch?v=s5xYFkMllOw

So the single algorithm R' L R L' is used to swap centres and also to orient the final face corners.