Recent posts

type	title	author	last post
Forum topic	Number of canonical move sequences for nxnxn Rubik's cube in h-w metric Generating Function by kociemba Lower bounds in h-w metric by kociemba Formula for number of move seqences by kociemba	kociemba	12/10/2011 - 13:11
Forum topic	Symmetries and coset actions (Nintendo Ten Billion Barrel tumbler puzzle) Schreier analysis by B MacKenzie Great results! by rokicki Deep Cosets by B MacKenzie Corroboration by B MacKenzie Concur by rokicki I have made similar changes by B MacKenzie The no flip case by rokicki It's a lot of fun to hear how by loseyourmarblesblog Alternate Solutions by B MacKenzie Can confirm these are both de by loseyourmarblesblog Have verified the depth distr by loseyourmarblesblog Estimates by B MacKenzie Congratulations! by loseyourmarblesblog Antipodes by B MacKenzie Supercomputers by rokicki Kudos by B MacKenzie Diameter is 18 by rokicki Wonderful! by rokicki Have verified the counts for by loseyourmarblesblog Happy to be of help, between by loseyourmarblesblog Current bound: 19 by rokicki A different coset---upper bound now 23 by rokicki "Trivial" coset solved---new bound = 26 by rokicki Test Results by B MacKenzie My Bad by B MacKenzie I'm missing solutions by B MacKenzie I've output my 3417 depth 13 by loseyourmarblesblog Incorrect Counts by B MacKenzie My numbers were a little more by loseyourmarblesblog Coset solved by B MacKenzie It's not just the symmetry by loseyourmarblesblog Color degeneracy by B MacKenzie Match these figures by loseyourmarblesblog Whoops by B MacKenzie Distance through depth 13 by rokicki Thank you. My confidence is by B MacKenzie Confirmed by loseyourmarblesblog This is exactly right. The " by rokicki Concur with estimates by loseyourmarblesblog Depth 19 positions? by B MacKenzie Standard Configuration Strings by B MacKenzie Great! by rokicki Depth 18 confirmed by B MacKenzie Howdy! by rokicki Optimal Solver by B MacKenzie Probably not as good as rokicki's... by loseyourmarblesblog how to do fast moves on such indexing? by CS Pruning independently by loseyourmarblesblog Move pruning by rokicki Impressive by loseyourmarblesblog Optimal solver by rokicki Flipping by loseyourmarblesblog Puzzle by rokicki	loseyourmarblesblog	11/22/2013 - 16:00
Forum topic	Square One God's Algorithm Computed > perhaps minor variations on by jaap > the extra factor of 2 (real by Mike G 10 moves max by masonjones God's algorithm counts by masonjones Of course, 7 flips is best for parity fix for Square One by masonjones Great to see this follow-up t by Mike G	masonjones	10/29/2010 - 08:21
Forum topic	Prime numbers and Rubik cube Thanks by mdlazreg Not Necessarily Prime by Jerry Bryan Number of Primes is Divisible by 48 by Jerry Bryan Prime positions for the whole cube by mdlazreg The difference between (FF)(F by mdlazreg Ahh, that's true; I omitted t by rokicki Hi Tom, Your definition of by mdlazreg counting function for the cube by Bruce Norskog Syllables and Adjacent Commutative Moves by Jerry Bryan We can define a sequence to b by rokicki Uniqueness of Solutions by Jerry Bryan Actually, since Rubik's cube by rokicki Primes and Cubes by crepeau	mdlazreg	10/29/2010 - 07:44
Forum topic	Square subgroup in QTM Radu analyzed a larger group by Bruce Norskog HTM of the square group by mdlazreg Each half-turn is simply 2 quarter turns by Bruce Norskog	mdlazreg	03/29/2013 - 23:55
Forum topic	2 questions one phase vs. two phase by Bruce Norskog Thanks Tom. I do understa by mdlazreg some tips on using this forum by Bruce Norskog In answer to your first quest by rokicki	mdlazreg	10/29/2010 - 07:48
Forum topic	Conjugacy classes of the cube I write Perl, I actually wrot by nooneimportant ported to C by brac37 E = O + E_ps for odd nori by brac37 E = O + E_ps proof by mdlazreg Indeed gpg' =(gp)p(gp)', by brac37 gpg' =(gp)p(gp)' by mdlazreg No, but O_ps = 0 is trivial by brac37 Even conjugacy classes > Odd conjugacy classes? by mdlazreg Amazing discovery by brac37 I do not know, another questi by brac37 Fabulous by mdlazreg 768 = 2^83 -- memory of GAP by brac37 Extension of procedure by brac37 "false theorem" with the screwdriver cube by brac37 The 3 by brac37 For the group <U2,R2,F2,UD by Bruce Norskog Where I said [U2,D2,R2,L2,F2, by brac37 GAP ran out of memory when I by Bruce Norskog Conjugacy discussion from Singmaster's Rubic Circular by Jerry Bryan Again thank you very much -- corrections and more cubes by brac37 "H" conjugacy classes by Bruce Norskog Depth of a conjugacy class representative by mdlazreg Parity sensitive by mdlazreg Thank you -- O_ps is always zero -- other numbers of cjclasses by brac37 Conjugacy classes of <U,F,R> by Bruce Norskog table for [E, O, E_ps, O_ps] and "rubik 81120" by brac37 No, CEEE + CO*EO is incorrect. by brac37 Screwdriver cube by brac37 Screwdriver cube by mdlazreg Even and odd classes by mdlazreg Screwdriver cube by brac37 I tried using GAP to get the by Bruce Norskog	mdlazreg	06/01/2012 - 02:36
Forum topic	Subgroups using basic moves RUL cosets distribution by mdlazreg RUL 30q Element by B MacKenzie Rubik Group Coset Solvers by B MacKenzie Cosets of the RUL subgroup by mdlazreg About the Solver by B MacKenzie 29q! by mdlazreg RUL C2v Three Face Group by B MacKenzie UDF again, and some FTM numbers by Bruce Norskog Time constraints by B MacKenzie RUF subgroup by mdlazreg Some partial distributions by Bruce Norskog Subgroups by B MacKenzie	mdlazreg	04/07/2013 - 11:27
Forum topic	Second largest coset solved yet of actual Rubik's positions	mdlazreg	10/29/2010 - 07:16
Forum topic	M_R,D Group In the normal cube group i.e. by jaap Yes that would do it by secondmouse I didn't think about the fact by Bruce Norskog Fixed corner and fixed centre group by secondmouse I have a page on my site that by jaap I'm convinced and I find this by B MacKenzie Good work! by rokicki Not isomorphic by Bruce Norskog My initial reaction to your p by B MacKenzie Quoting B MacKenzie: "There by Bruce Norskog Alternate Representation by B MacKenzie Another way of looking at it by cubex Group vs Coset Space by B MacKenzie Well, of course, you can conv by Bruce Norskog Reference Frames by B MacKenzie C2v Three Face Group by B MacKenzie Indistiguishable Tokens by B MacKenzie I got the same values by brac37 U,R,L by mdlazreg Representations by B MacKenzie Solver's Perspective by cubex The move MR moves four center by Bruce Norskog Surprise by B MacKenzie Not a mathematical group (correction it is) by cubex Define your Model by B MacKenzie MR (or what now is usually re by Bruce Norskog Group Generators? by B MacKenzie MR (or M_R when writing in pl by Bruce Norskog	mdlazreg	11/24/2010 - 06:33
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