From BRYAN@wvnvm.wvnet.edu Tue May 9 19:19:39 1995 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA18463; Tue, 9 May 95 19:19:39 EDT Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 9269; Tue, 09 May 95 19:18:19 EDT Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 5433; Tue, 9 May 1995 19:18:19 -0400 Message-Id: Date: Tue, 9 May 1995 19:18:18 -0400 (EDT) From: "Jerry Bryan" To: Subject: Re: Orders of Symmetry In-Reply-To: Message of 04/23/95 at 23:29:00 from mark.longridge@canrem.com On 04/23/95 at 23:29:00 mark.longridge@canrem.com said: > It took a while to find a pattern which could be transformed 16 >different ways. Still trying to find a pattern which will >result in 4 distinct ways, but I am not optimistic. A random walk >through the cube resulted in a pattern which would transform >48 ways in every case I tried. For well over 99% of the positions we have |{m'Xm}|=48, so it will be a long time before a random walk finds anything. If my quick and dirty calculations are correct, |{m'Xm}|=48 for in excess of 99.9999986% of the M-conjugate classes. For positions themselves, the percentage would be higher still. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) (304) 293-5192 Associate Director, WVNET (304) 293-5540 fax 837 Chestnut Ridge Road BRYAN@WVNVM Morgantown, WV 26505 BRYAN@WVNVM.WVNET.EDU