I dug up old cd backups I had and found my log files from April 2000! I save solutions along the way out of paranoia, and luckily I had files at the problem...
Sorry, just reread this after going to lunch with a friend and saw a couple things I wanted to clarify/correct. - The reason for the different move counts in...
Thanks, Roice. Impressive you found CD's from 2000! I'll take a look at these, and see what I think. (Actually, I'm loading them right now...) I've also...
I was looking at another site. This gives a similar insight to my position on parity, and the whole even/odd issue. http://www.ryanheise.com/cube/parity.html ...
A little more roice spam, this time inline :) (and a little of it from the earlier post). ... essentially as odd parity (and in my n^d solution double odd as ...
... For what it's worth, I agree that it's time to do that. ... I haven't played with the puzzle for far too long. Maybe it's time to give it another...
Ok, one last reply today. I'm going to trim this down to the points ... I agree completely. ... Are you refering to two corners that aren't oriented correctly?...
One last trimmed down reply for me as well :) ... not I'm not sure what you mean. On a 3^3, you cannot swap a single ... pair of corners, regardless of...
Hi guys, What a great discussion! I thought I would add my observations, based on my work with the m^n formulas. I think an important fact to realize, which...
David, thank you for the excellent email response on the parity discussion with Levi (and for the fix of my incorrect 4-cycle claim about corners on MC5D). It...
That's a delightful finding. If n=2d, then stickers=cubies. I've always thought the 6^3 had a sort of hidden beauty to it. As for the m^n or n^d. My preference...
You're welcome, Roice! I'm glad my observations helped, and great to hear you are off to solve another problem. As for your observation, check another unique...
... As I see it, the phenomenon here is just a quantized scale effect. The cubies with any stickers at all (without regard to how many stickers) are all on...
... Order-m n-puzzle, I've been trying to think of that terminology for a while. Thank you! That'll simplify most of my posts in the future! I think I prefer...
... I can debate that. I don't think that there is all that much terminology from higher dimensional Rubik analogues that applies directly to other twisty ...
... I take it back. This one is easy to see. I think I can explain it in a way that is more obvious than what David Smith wrote: Given an order-m n-puzzle,...
... David V.- I would actually make the opposite argument. Attempting to make a general formula for all possible permutations of every type puzzle in every...
... The problem with that is that we do need to be able to talk about a simple n-cube also when we are talking about an n-puzzle (not necessarily the same...
I have written a draft for a document which attempts to establish some terminology which I hope we can agree on for talking about cubing in various dimensions....
Hi David, Thank you for providing a framework to talk about notation. There is a lot suggested here, and I'm sure there are many thoughts among the group. I...
On thinking more about it, I am not happy with the response I made to Roice's comments on the draft. The problem is that Roice was coming from a such a ...
A friend at work sent me this link about "Rubik's TouchCube" today. Be sure to watch the YouTube video there, then drool over the thought of an MC4D version,...
Hello All, Thanks to the efforts of Roice and Mr. Matt Galla, all of the algorithms to prove the upper bound I found for Magic120Cell to be exact have been ...
Hello All, I know it's been a while, but I finally found the time to update my Magic120Cell paper, it is available here. I updated the paper with the...
Hi, I have never been in a group such as this before. I have spent two years of my spare time writing some puzzles which arrange color blocks to form...
Hello everyone, my name is Matthew and I have recently returned to the problem of the 4D cube. I found them sometime last year after the advent of my cube...
Welcome Matthew. Great to have you join us. ... Coincidentally, this question of parities came up and led to lively discussion only a few months ago. With...
... I have looked in the database to find the parity present on the 4^4, and found the case which you have found in your solves, with the 2C pieces. I didn't...
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