From @mitvma.mit.edu,@WVNVM.WVNET.EDU:BRYAN@WVNVM.WVNET.EDU Mon Dec 6 18:34:42 1993 Return-Path: <@mitvma.mit.edu,@WVNVM.WVNET.EDU:BRYAN@WVNVM.WVNET.EDU> Received: from mitvma.mit.edu by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA01891; Mon, 6 Dec 93 18:34:42 EST Message-Id: <9312062334.AA01891@life.ai.mit.edu> Received: from MITVMA.MIT.EDU by mitvma.mit.edu (IBM VM SMTP V2R2) with BSMTP id 1564; Mon, 06 Dec 93 18:34:47 EST Received: from WVNVM.WVNET.EDU (NJE origin MAILER@WVNVM) by MITVMA.MIT.EDU (LMail V1.1d/1.7f) with BSMTP id 5497; Mon, 6 Dec 1993 18:34:47 -0500 Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.1d/1.7f) with BSMTP id 3827; Mon, 6 Dec 1993 18:32:16 -0500 X-Acknowledge-To: Date: Mon, 6 Dec 1993 18:32:15 EST From: "Jerry Bryan" To: "Cube Lovers List" Subject: Unique Antipodal of the 3x3x3 Edges In answer to the question by Dan Hoey, I printed out the unique antipodal of the 3x3x3 edges -- the one configuration that is 15 moves from Start using only q-turns on the edges of the 3x3x3. It is really quite extraordinary and wonderful. I already knew that there were only four equivalence classes with 24 elements. Well, two of them are Start itself and its antipodal. Without further ado: *6* *6* 6*6 3*4 *6* *1* *2* *5* 2*2 3*4 *2* *2* *3**1**4* *1**1**1* 3*31*14*4 5*23*42*5 *3**1**4* *6**6**6* *5* *2* 5*5 3*4 *5* *5* Start Antipodal = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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 If you don't have time to do it right today, what makes you think you are going to have time to do it over again tomorrow?