Hello all,
I am pleased to say that I have finally finished my paper which derives the=
number of possible positions of an n^4 Rubik's Cube! I actually can't say=
it is truly finished yet until it is studied by more people, so I am hopef=
ul that maybe a few of you will take a look at it. Feel free to post any q=
uestions, comments, suggestions, or corrections, or email me at djs314djs31=
4@yahoo.com.
Here is the paper:
http://www.gravitation3d.com/david/C4n_Derivation.pdf
My deepest thanks goes out to Roice for all of his contributions! (and the =
use of his website, as always.)
Here is the formula by itself:
http://www.gravitation3d.com/david/n^4_Cube.pdf
Some of you may have noticed that the formula changed. Actually, it only c=
hanged in appearance; I just expanded the binomial coefficient in the expon=
ent of the last term. I did this because it allows a simpler discussion in=
the paper when I discuss the exponent's derivation.
I would like to thank Melinda, Don Hatch, and Jay Berkenbilt for creating M=
agic Cube 4D and thus opening my mind to such a fascinating concept that I =
have enjoyed studying very much.
I am planning to work on an n^5 Cube paper, but first I want to try finding=
that n^d Cube formula again, which may prove too difficult for me. But I =
will give it a try anyway.
Thanks so much for everyone's support, and even if nobody reads my paper, I=
am still happy I wrote it. I hope that it somehow contributes to the lega=
cy of Magic Cube 4D, even if only in a small way.
All the best,
David