Square 1 Alternate Solution Brandeis University（布兰迪斯大学广场1替代解决方案）.pdfVIP

/abcmcfarren/math/sq1/sq1xfalt.htm 05/29/2007 12:45 AM Square 1 Alternate Solution A Rubiks Cube on Acid Ohhh... Im sooooo wasted! Transform the Puzzle into a Cube Step I: Get the puzzle into 3 distinct layers Square 1 is a mixture of small wedges, large wedges, and two trapezoids . The two trapezoids belong in the equator (middle layer) of the puzzle, and must be joined together: like or like this: that: Once the trapezoids are joined together, the puzzle is automatically at 3 distinct layers. This is way too easy, for two reasons: No matter how badly the puzzle is scrambled, you are (at the most) only ONE move away from getting there. At that point, it was the ONLY move you could have made here anyway! Step II: Try to fill one layer with 6 large wedges /abcmcfarren/math/sq1/sq1xfalt.htm Page 1 of 5 /abcmcfarren/math/sq1/sq1xfalt.htm 05/29/2007 12:45 AM Once the puzzle is at 3 distinct layers, it can appear as one of many (90, to be exact) geometric shapes. There are just too many permutations to memorize, so the easiest way I can think of is to follow this simple rule: Fill an outside layer (top or bottom) with 6 large wedges. This will force the other side to have 2 large wedges and 8 small wedges. There are only 5 possible