# Message #682

From: superken576 <kc135576@aol.com>

Subject: Re: n^6 Formula Found

Date: Fri, 26 Jun 2009 20:13:40 -0000

— In 4D_Cubing@yahoogroups.com, "David Smith" <djs314djs314@…> wrote:

>

> 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

>

That’s really impressive!! But if you actually calculate it, the computer would… well, you would need a computer with a huge processor.