From ncramer@bbn.com Fri May 10 21:33:52 1991 Return-Path: Received: from LABS-N.BBN.COM by life.ai.mit.edu (4.1/AI-4.10) id AA26837; Fri, 10 May 91 21:33:52 EDT Message-Id: <9105110133.AA26837@life.ai.mit.edu> Date: Fri, 10 May 91 20:45:08 EDT From: Nichael Cramer To: Ronnie Kon Cc: cube-lovers@life.ai.mit.edu Subject: Re: 5by cubes >Date: Mon, 6 May 91 11:14:02 -0700 >From: Ronnie Kon >Subject: 5by cubes > I suspect this is why there are (and will probably never be) cubes of >orders greater than 5. I believe (though have not proved) that the 5 cube >contains all the complexity that is possible. Adding more cubies would only >increase the amount of time needed to solve. On the other hand, a 5X (or any cube of odd order) will still have the constraints imposed by a fixed center. As a single example, the 4X here in my office is completely "solved" except that two opposite corners are swapped. That's not something that can happen on a cube of odd order (at least I don't think so, but I would love to be proved wrong ;). N