Recent posts

type	title	author	last post
Forum topic	Twenty-Four puzzle, some observations 2xN case. Nx2 has Hamiltonian path by stannic some regularities in maximum WD values by stannic Optimal solver program by kociemba Both positions need 72 moves. by kociemba It's interesting by stannic Though the WD heuristic has w by kociemba It took me some time to write by kociemba Half-depth search by stannic 4x5 Last Row Permutation by stannic Anyone interested in the new by stannic Fringe by rokicki The set graph by stannic "Coset" solver for 15-puzzle by rokicki Yes, of course; in general, w by stannic 4x4 puzzle antipodes in STM by stannic Yep by rokicki Asymptotical bounds by stannic 24 puzzle new lower bound: 152 by rokicki Obvious error by rokicki Read Korf's paper by rokicki 80s solutions by stannic 2x6 and 80s by rokicki Oops by rokicki 0-terminated vs 0-based? by stannic Antipodes by rokicki Verified first 9 rows by rokicki Sorry if I've helped take thi by stannic Groups and Two-Phase technique by rokicki Typos by rokicki 2xN puzzles by stannic Next interesting sizes by stannic Results from Richard Korf (2008) by rokicki I believe you're correct; the by rokicki Right-hand turns by stannic Search for upper bounds for 5x5 in MTM by stannic lower bound 82s for 3x5 by stannic Lower bound is 80s by stannic Upper bounds by stannic WD "solver" by rokicki Bounds by rokicki Pattern databases by stannic Very nice! Thanks! by rokicki Confirmation for 5x4 by stannic Some corrections by stannic More walking distance values by rokicki Attempt to solve the 180 flip position in < 156 by rokicki I also calculated the 56 solu by rokicki Calculated as well by rokicki Verified up to depth 14 by stannic All optimal (STM) solutions for 5x5_90 by stannic clarify my definition of square root by Bruce Norskog Counts out to depth 24 by rokicki More square roots by rokicki Thanks for your explanation. by stannic square roots by Bruce Norskog Square roots of permutations? by stannic 148 done by rokicki 146 time by rokicki Of course you can stop your s by stannic Slow program by rokicki Great jump by stannic Done through 146; new bound is 148 by rokicki Note that the first antipode by Bruce Norskog Invert Distance by stannic multi-tile metric by stannic Done through 144; bound now 146 by rokicki Thanks for verification by stannic 180 degree flipped position by stannic Optimal 5x5 solver? by rokicki Verified by rokicki I've used the takaken solver by Bruce Norskog Very cool by rokicki WD 5x5, distribution by stannic Walking Distance by stannic Four-stage suboptimal solver by stannic	stannic	06/01/2012 - 02:29
Forum topic	Kilominx can be solved in 34 moves I confirm these numbers (in t by rokicki 46 "quarter" turns suffice by Ben Whitmore 34 move upper bound is correct by Ben Whitmore Or maybe not... by Ben Whitmore	Ben Whitmore	03/10/2020 - 13:19
Forum topic	Cube-lovers, a rebirth (Hopefully) That's the basic algorithm be by rokicki Square one by paolabp Math. oriented site... by crepeau	cubex	10/29/2010 - 08:41
Forum topic	Solving the 4x4x4 in 68 turns Tsai's 4x4x4 algorithm by stannic It appears his solver was on by Bruce Norskog Details of 7/8-step solver by mrCage Re: It's good to see this develop by Bruce Norskog It's good to see this develop by Mike G	Bruce Norskog	09/24/2011 - 06:29
Forum topic	Twenty-Nine QTM Moves Suffice 3 distance-26 positions by mdlazreg Maybe another subgroup by brac37 The known distance-26 position is the only one? by mdlazreg My congratualtion once more i by kociemba I just tried the subgroup (U, by rokicki Thanks, Bruce! It may well by rokicki Congrats! by Bruce Norskog	rokicki	06/01/2012 - 02:36
Forum topic	A Hamiltonian Circuit for the 2x2x2	Bruce Norskog	04/25/2012 - 03:22
Forum topic	Interdimensional Cubes More thoughts by cubex Evisceration, interesting concept by cubex Read the bit about 'eviscerat by jaap	cubex	06/17/2010 - 23:11
Forum topic	Disjoint Cycles and Twist/Flip Parity Rules Flip cycles by B MacKenzie Cubelet flip by jaap	B MacKenzie	10/29/2010 - 07:55
Forum topic	Puzzle about the Cube: Coloring the Cayley Graph HTM = 4 by brac37 HTM in 8 by rokicki Oops by rokicki Chromatic number by rokicki two-colouring by jaap 2 for QTM by mdlazreg Can you justify 2 for QTM? by rokicki 2 & 3? by mdlazreg Chromatic number by rokicki 13 && 19? by mdlazreg	rokicki	10/29/2010 - 07:26
Forum topic	Syllables and Graphs	Jerry Bryan	10/29/2010 - 07:27
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