# Message #681

From: David Smith <djs314djs314@yahoo.com>

Subject: n^6 Formula Found

Date: Fri, 26 Jun 2009 12:38:24 -0000

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