--- In [email protected], Frank Morris <[EMAIL PROTECTED]> wrote: > > I imagine, that with time, the record for the 6x6x6 may get to be around 3 > minutes. It looks as though the puzzles gain about a minute per solution as the sizes increase. Just my opinion though. As far as the popular solution method for the larger cubes, I don't believe that it gets any less efficient. There is still room for improvement with that method. >
There are two problems with this (as a general rule for larger cubes): 1. The number of pieces increases quadratically with the side length, not linearly, so it's not likely that the times would increase linearly (plus you only have 2 steps for this basis 3->4 and 4->5, unless you can solve the 2x2x2 in negative time!) The centres are the main limiting factor (the quadratic factor) - in the 3x3x3 there are 6*1^2 centres (but nothing to do if not marked) but in the 4x4x4 there are 6*2^2=24 centres in the 5x5x5 there are 6*3^2 centres (48 if you don't count the very centres) but ther's 6*4^2=96 centres in a 6x6x6. This is probably why centres first is often used on these puzzles. There's a higher degree of freedom for the longest part which gives more speed. The edges (linear) and corners (constant) require less time so it's best to do them with more constraints. Doing the centres last puts more constraints on the largest part of the puzzle. 2. It is harder to locate pieces. Admittedly, this isn't really an issue for 6x6x6 - it does become an issue in the really big cubes though. Try finding centre pieces on a cube of size 11x11x11 or bigger! This really slows things down on larger cubes. I'd imagine there's a further problem which is that the cube is probably less stable and more likely to break up/lock up at speed. The pieces will be smaller and even if the overlap problem is solved an increase in the number of slices means the cube is more likely to jam. If each slice is just a little off then things will build up quicker. This is only a problem for physical cubes, not computer cubes (for which the closest thing is a bad mouse) although 1, 2 apply equally to each. > Douglas Reed <[EMAIL PROTECTED]> wrote: This talk of potential world records > on 6x6x6 cubes reminds me of a > conversation I had with Per in Florida at the WC. > > Do most people who plan on buying 6x6x6 cubes plan on using the same > method as they do for smaller cubes (4x4x4 and 5x5x4) on the 6x6x4? It > seems to me that as the cubes get larger, the widely-accepted > Centers-Edges-3x3x3-Parity approach gets less and less efficient. What > does everyone else think? > > Doug > > Daniel Hayes wrote: > > >I really think it would be fantastic if we could order some for > >Christmas, but that may be a bit too optimistic. Nonetheless, I'm > >going to have to get one ASAP. As for times, my gut feeling is to say > >that if the cubes turn well, 5 minutes will be hit by many of the top > >cubers pretty quickly. Just a quick look at the data suggests that if > >you compare fastest time to number of pieces, then extrapolate the > >number of pieces needed to be placed on the 6x6x6 cube, I get that a > >world record time may be around 4:02 . I would certainly not be > >surprised if this was high though! > > > >-Daniel > > > >--- In [email protected], "Koen Heltzel" > ><[EMAIL PROTECTED]> wrote: > > > > > >>Heya, > >> > >>Looking at Olympic Cubes' site and messages on Twisty it won't take > >>very long anymore for the 6x6x6 to be available for the public. > >>Personally I'm very excited about trying it out. > >>Does anybody has an idea about how it's going to be released? Will we > >>be able to order it off the Olympic Cubes site? > >> > >>Also will the upcoming tournaments have 6x6x6 events? What will the > >>top times be like for the 6x6x6 after say 2 months of it's release? > >> > >>Discuss :D > >> > >>Greets, Koen > >> > >> > >> > > > > > > > > > > > > > > > > > >Yahoo! Groups Links > > > > > > > > > > > > > > > > > > > > > > > > SPONSORED LINKS > Jigsaw puzzle game Free puzzle inlay games Educational game and > puzzle Word puzzle game Kid puzzle game Puzzle games > > --------------------------------- > YAHOO! GROUPS LINKS > > > Visit your group "speedsolvingrubikscube" on the web. > > To unsubscribe from this group, send an email to: > [EMAIL PROTECTED] > > Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service. > > > --------------------------------- > > > > > > > --------------------------------- > Yahoo! FareChase - Search multiple travel sites in one click. > > [Non-text portions of this message have been removed] > ------------------------ Yahoo! Groups Sponsor --------------------~--> Get fast access to your favorite Yahoo! Groups. Make Yahoo! your home page http://us.click.yahoo.com/dpRU5A/wUILAA/yQLSAA/MXMplB/TM --------------------------------------------------------------------~-> Yahoo! Groups Links <*> To visit your group on the web, go to: http://groups.yahoo.com/group/speedsolvingrubikscube/ <*> To unsubscribe from this group, send an email to: [EMAIL PROTECTED] <*> Your use of Yahoo! Groups is subject to: http://docs.yahoo.com/info/terms/
