Hey guys... and girls, For school, I have to do a presentation about a subject of my choice. And because the Cube is one of the things I like, and the public =...
... Hi Joel I don't know a really nice way to do it, so will be interested to see what others come up with. Three-cycles are one possibility... but to avoid...
This is also probably not the most elegant proof, but I always argue based on the possible moves of the cube. You can argue that all moves are isomorphic to...
Hi Joel, ... I don't think there is a way to do it other than to explicitly establish an algorithm for solving any position, though it obviously need not be at...
... Sure, but to show that _all_ even permutations are possible, you have to be able to do _any_ transposition, not just a particular transposition. If it were...
... calculate ... it's ... to ... prove ... Hungary ... * ... What level are you pitching it at? (Depending on this, you may have to define a lot of...
"After that, it's easy to calculate the total number of positions which must be (8!*12!)/2 * 2^11 * 3^7." Has anyone else ever thought how "strange?" "cool?"...
Well, I mean, if you're raising integers to powers, you've got enough 2's there to feed a third world nation so if just having 5's of course will produce 0's...
I did not say it was surprising, just cool :) Dan :) ... From: Tyson Mao To: speedsolvingrubikscube@yahoogroups.com Sent: Tuesday, November 02, 2004 7:20 PM ...
Hi everybody, I just want to thank everybody for their reply's! It definitly gave me some inspiration about how to do this! If I have more questions, I will...
Hi Richard, thanks a lot, that a very nice explanation and example... finally I got to know a little bit about the word itself that I've been using a lot and...
I once came up with a "visualization" I like better (because I can't really imagine a light-year, it's so abstract). Imagine all of human kind has done nothing...
... How about doing it this way: There are many ways to decompose a permutation, but there's an equivalence deterministic value. The number of "wrong pairs" in...
Hi, the only answer to the question in the subject of this message that makes sense to me is: disqualifying competitors using corners-first method (or its...
I just wanted to tell all of you that I just managed my first sub-20 average of 10. The times were: (15.74) 20.84 18.17 19.55 20.70 17.78 20.09 19.40 17.17...
Is there a IRC channel for Rubik's Cube chat on Efnet or Undernet? I know that yahoo groups has a chat but my browser doesn't like the Java applet for some ...
You know, I never gave it much thought until now, but in a split second of realization I became a staunch advocate of counting slice moves as a single move....
... Yes, but there's the issue of showing that it's not possible (in some other, possibly non-canonical, way) to solve using a different number (modulo 2) of...
Hi Joel!! U could also go about and explain some other interesting facts about the cube. Like it's impossible to just swap 2 edges or likewise just swap 2...
... I presume, he mentioned that near the start where he mentioned it was impossible to do an odd permutation. (At least one assumes that is what he meant - of...
... Moreover, all those 2s are guaranteed just from the factorial parts (it wouldn't matter about the extra 2^10) because 2^k*r<5^k*r so any time you pick up a...
Wow! You just changed my mind. Well, actually you *split* my mind ;-) So far I've always voted for counting it as 2 turns. That's because when I solve the cube...
... some ... number ... that ... able ... a ... That's easy, isn't it? Assume that a certain permutation can be solved one way with 12 swaps and another way...
... permutation ... the ... contradiction ... Ok, I read your exact reasoning again. I think we're actually saying pretty much the same thing, the difference...
Hi Per, Joel, et al, I find it interesting that even though you can can't move only one pair of corners or edges and nothing else, you also cannot only move ...
Hi Matt As far as I know there is no IRC channel frequented by speedsolvers. However, as you may have read in previous posts to this forum, there is a chat...
Yes, my mind is split too... and it always has been :( I have been an advocate of slice turns = 2 moves, as you well know. The main reason for this is as you...
Dear Mr Sechet, Could you please be so kind as to return the Electronic Timer set to Winning Moves or directly to us if you prefer, as soon as possible. We...
... The main reason for this is as you described below, it feels slower and more cumbersome than a standard face turn, and for speedsolving purposes it is...
