Well, you see Jimmy, parity happens because as you're twisting and twisting the cube, say a 4x4, and what happens is you start solving the outer pieces. Why you get parity, little Jimmy, is because there are internal pieces that make up for it. For example, on a 3x3 we have a thing called the "H" permutation which takes all the edges on one layer (not "side") and moves them around 180 degrees. In fact, what's actually happening is the algorithm is switching two pairs of two edges each, making four pieces you move around. On a 4x4, parity is the same, except one of the pairs of "edges" is visible and one isn't. Therefore, Jimmy, you should understand fully why parity happens on a 4x4, 6x6, 8x8, etc. OK?