From the archives: > We include a description of 71 local maxima, which we believe > to be all of the local maxima that can be proven using known > techniques other than exhaustive search. Oh well, I used an exhaustive search. p160 is 10 moves long in the htw metric, and each of the moves ( T2, D2, F2, B2, L2, R2 ) all bring one to a position requiring nine 180 degree twists, thusly.... 4 H + T2 = L2, R2, F2 B2, T2, L2 R2, B2, F2 (9) 4 H + D2 = L2, R2, F2 B2, D2, L2 R2, B2, F2 (9) 4 H + F2 = B2, D2, L2 R2, F2, L2 R2, F2, T2 (9) 4 H + B2 = F2, D2, L2 R2, F2, L2 R2, F2, T2 (9) 4 H + L2 = R2, D2, L2 F2, B2, L2 F2, B2, T2 (9) 4 H + R2 = L2, D2, L2 F2, B2, L2, F2, B2, T2 (9) ---------------------------------------------------------------------- I did discover an interesting property of the "Cube in a cube" pattern I didn't notice before. p7a Cube in a cube U2 F2 R2 U3 L2 D1 (B1 R3) ^3 B1 D3 L2 U3 (15) Let's say you are entertaining some cube guests at a cube party and the topic is (cube) patterns. Your guests are impressed with the efficiency of the well-memorized process. You would like to go on to the next pattern but you don't quite remember how the inverse goes. No problem! Rotate the whole cube so TOP becomes BACK then BACK becomes DOWN, and finally FRONT becomes RIGHT. Simply repeat the process p7a and your reputation as a cube expert is saved. ;-> This same idea works for the 6 X order 3 pattern as well. And now for an unsymmetric local maximum!! (Just kidding) -> Mark <-