Math.
The rubix cube has a finite number of pieces, color combinations, and move options. And while it may seem there are many different combinations of a way a rubix cube can be “scrambled” a cube is never more than 20 (i think maybe 25?) moves from being solved.
Taking all of this there are “paths” that can be followed that reduce the “jumbledness” of the cube. Kind of like when you leave your home. If you are at your friends house who lives down the road, you probably can walk home no problem. Well, consider you are at that one restuarunt at the edge of town. You might not know the direct route home, but you know how to get to the local shopping center from there, and from the shopping center you know how to get home. What about a cross country drive? got the map out, and you follow the major points and as you get closer to home, you “know” where you can take short cuts and what not.
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