Recent posts

type	title	author	last post
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	NxNxN cubes in GAP Yikes by secondmouse Symmetry Actions by B MacKenzie B MacKenzie, thanks for the i by Bruce Norskog The two formulas give the sam by Bruce Norskog Thanks for providing the link by secondmouse Confirmation by B MacKenzie Group size with parity restrictions by jaap Ignore the symmetry group comment please by secondmouse well, I made no attempt to wr by Bruce Norskog Factor of 2 explanation by Bruce Norskog Ah so ... I am very much mistaken by secondmouse Why the positions do not form a group by Bruce Norskog Not true by secondmouse 2x2x2x2 group by secondmouse Oops, in my previous post, of by Bruce Norskog Indeed by brac37 The number of elements in the by Bruce Norskog Works well for the 2x2x2 and by secondmouse	Bruce Norskog	06/01/2012 - 02:36
Forum topic	God's algorithm for FTM mod 48, 2. Try Symmetry, Maneuvers, and Syllables by Jerry Bryan Conjugate turns by B MacKenzie M p = M p' can be understood by brac37 I think it can(not) be done by brac37 single anti-symmetries only by brac37 Your mapping above is the map by B MacKenzie Mirror conjugate by mdlazreg Mirror Symmetry by B MacKenzie mirror image by mdlazreg Symmetry Reduction by B MacKenzie New kind of symmetry by mdlazreg Mike Godfrey and I did a comp by kociemba M p = M p' and p=p' by mdlazreg number of self-inverse positions by Bruce Norskog mod 96 by rokicki mod 96? by brac37 Very nice! by rokicki	kociemba	06/01/2012 - 02:36
Forum topic	Cubic Symmetry Cycle Representations algebra versus geometry by brac37 Parity by B MacKenzie there are exactly three parities by brac37 Cubic Group Parities by B MacKenzie with odd I mean mirrored by brac37 Parity by B MacKenzie void cube by brac37 An Example by B MacKenzie Well formed Cube models by B MacKenzie With or Without Face Centers by Jerry Bryan Cubie based Cube Representation by B MacKenzie Symmetry group by brac37 Cube Group Representations by B MacKenzie More representations by brac37	B MacKenzie	06/01/2012 - 02:36
Forum topic	Presentation for Rubik's cube Revision - Much clearer presentation by secondmouse For anyone interested by secondmouse Hi Jaap, Actually I was wr by mdlazreg Another presentation on 3 involutions! by secondmouse Bounds on identity length by jaap The cube by gaetanguimond I used GAP to find the size o by Bruce Norskog Non trivial identities by mdlazreg	jaap	06/01/2012 - 02:36
Personal blog entry	Drupal database problem Drupal database by cubex	cubex	06/01/2012 - 02:32
Personal blog entry	Site URL changed	cubex	06/01/2012 - 02:29
Forum topic	God's Algorithm out to 14f* Antisymmetric positions by brac37 Correct by tscheunemann Further Question by Jerry Bryan Exactly by tscheunemann My positions are not ordered by tscheunemann Symmetry of the Corners vs. the Whole Cube by Jerry Bryan More Congratulations and Questions by Jerry Bryan Technique by tscheunemann Wow! by rokicki	tscheunemann	06/01/2012 - 02:29
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	Cross-Check Patterns Antisymmetric Cubes by B MacKenzie cross-check patterns by brac37 Symmetry of Inverses by Jerry Bryan Yes, that is interesting. Th by B MacKenzie It is quite interesting that by kociemba	B MacKenzie	06/01/2012 - 02:29
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