Unsolveable patterns do indeed exist. Dont throw away your cube. Ive had a couple cubes where the stickers were dying and what Id reccomend is either one of 2 things. 6 bottles of cheap nail polish for frustrated mothers of destructive children so that the 'stickers' are replaceable. or 2, my favorite. You rip all the stickers off and etch in designs with a sharp knife. My cube has +, -, square, X, O, and the last one is one where i make some thing that looks like # but more horizontal and vertical lines. It makes for a great new toy. Let me know how that works out for ya.