Hi everyone,

I have derived a formula for the upper bound of an n^6 Rubik's Cube! I was able
to do so after discovering a general method that will allow me to find a formula
for any specific dimension. Because of this, I now believe that it will not be
long before a formula is found for all dimensions! The method makes clear that
there are many patterns hidden in the formulas, and in fact the formulas are
very much recursive! Here is the n^6 formula:

http://www.gravitation3d.com/david/n%5E6_Cube.pdf

Also, I have reformulated my n^5 formula to match the method I am now using.
Here it is:

http://www.gravitation3d.com/david/n%5E5_Cube.pdf

These formulas build on each other, and already I can see how I will go about
finding the n^d formula.

I am leaving for vacation today, and will not be able to reply or work on the
general formula until next Friday. Thanks everyone, and I'll talk to you when I
get back.

All the best,
David