Message #619

From: David Smith <>
Subject: Re: Magic Cube 6^5 Solved
Date: Tue, 27 Jan 2009 10:43:25 -0000

Congratulations!! 1.9 million twists - incredible!

Also, great to hear about your solution to the m^n puzzle; I’m
definitely interested in hearing more about it. About parity errors,
forgive my ignorance, but I’m not even certain what counts as a
parity error when solving a cube. I know the basic idea is
correcting the parity of pieces, but I believe that could apply
to the corners on a 4D cube, which obviously do not count, so I’m not
sure. I am certain you are correct in your assertion though given
the fact that you are typing up a solution! If you want, I could
send you information on all of the orientation possibilities on
an m^n cube, but it sounds like you’ve got that covered.

Once again, great job on solving this puzzle! And thanks for your
appreciation of my formulas and your description of the n^5 one as
frightening! :) Your solution is a great achievement and


— In, "rev_16_4" <rev_16_4@…> wrote:
> Well, it was a lengthy journey, but after 24 days (avg 6 hrs/day) and
> 1.9 million twists, the 7^5 is the only peak left unclaimed. After
> scaling the 6^5, I’m intimidated by the magnitude of the next summit.
> I doubt I’ll attempt a single uninterupted solution to the 7^5
> anytime soon.
> I didn’t experience any "parity" errors. I don’t think they’re even
> possible on m^n puzzles with n>=4, and m = even. The stickers that
> gave me the most trouble were the final 64 3C’s. I think the 2C and
> 1C’s were simple because there were so many identical pieces they
> were easy to place. I think the 4C and 5C weren’t too bad either,
> simply because there were so few pieces they were over and done with
> so quickly. Based on my experiences, I think the worst pieces on a
> MC6D would be the 4C’s…
> I’m going to make another claim in this post. I think I’ve developed
> a solution to the m^n puzzle. It requires only seven algoriths. I’m
> in the process of typing it up, and I’ll post it if there’s interest.
> I have minimal formal math training, so I don’t have the knowledge to
> prove it is a complete solution. I just have a very strong gut
> feeling.
> The basic ideas of my solution to the 6^5, and also the m^n, is as
> follows:
> Solve the pieces with the most stickers first, and work your way down
> to the single sticker pieces.
> While solving each of these, align one set of all the opposing face
> stickers at a time (i.e. red and green).
> Once these are aligned, position each of the remaining stickers on
> these pieces, once again aligning one set of all the opposing face
> stickers at the same time. (These steps are recursive.)
> There’s a little more to it than that, but you get the idea.
> I’d also like to warn you that spending so much continuous time
> working on one of these puzzles has almost a narcotic effect. Over
> the last couple of days, I think I’ve experienced some withdrawal. I
> almost found myself starting the 7^5 just to relieve it! Don’t worry,
> I stopped myself! ;-)
> I haven’t posted anything about myself to the group yet, so I’ll tack
> on a little right here. Some of my personal interests include
> juggling and triathlon. I’m a member of the US Navy, currently
> stationed in Washington state. My wife and home are back in St. Paul,
> MN, which is where I will return to when my current tour is up. I’m
> planning on attending the U of MN, majoring in a branch of science or
> engineering. I think I’ll minor in math as well. A large part of my
> renewed interest in math stems from this group (thanks, Melinda,
> Roice, Don and everyone else!)
> I’d like to close this message with some congratulations. First of
> all to Melinda, for solving the evil puzzle of her own creation. We
> all knew you could do it! Second to Noel for managing the 120 cell.
> Enough said. Finally, David, thank you for the work on all the
> formulas for these puzzles. Your latest for permutations of an n^5 is
> almost scarier than my first glimpse of a MC5D puzzle!
> -Levi