Sporkworld sends its friends a New Year's Greeting in the form of a puzzle topologically related to the Rubik's Cube. We will send (via snail mail, as we traffic only in real fake Unicorns, not virtual fake Unicorns) a Unicorn to the first person who sends an explanation of how to solve it to men2@columbia.edu , with or without explicit group theory… For a solution to count, it must be clear enough to allow Sporkworld's resident naive beta tester to solve the puzzle from any initial solvable state.

http://www.sporkworld.org/webart/newyear.html