24 March 2007
Very few patterns are possible on the 2x2 puzzle cubes because there are only 8 parts, each of which can be deflected into 3 orientations. 8 doesn't divide evenly into 3.
This "pattern" demonstrates the problem rather clearly. I had to arrange it with two slightly different patterns, depending on which side you view it from. One side includes an extra twist of one of the corners.