From @wvnvm.wvnet.edu:BRYAN@WVNVM.WVNET.EDU Mon Jul 18 10:44:30 1994 Return-Path: <@wvnvm.wvnet.edu:BRYAN@WVNVM.WVNET.EDU> Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA25760; Mon, 18 Jul 94 10:44:30 EDT Message-Id: <9407181444.AA25760@life.ai.mit.edu> Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 6338; Mon, 18 Jul 94 10:41:50 EDT Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.1d/1.7f) with BSMTP id 7644; Mon, 18 Jul 1994 10:41:50 -0400 X-Acknowledge-To: Date: Mon, 18 Jul 1994 10:41:49 EDT From: "Jerry Bryan" To: "Cube Lovers List" Subject: God's Algorithm, Additional Level The following is for Q-turns only, whole cubes (both corners and edges), and not considering M-conjugates. I think it would be possible to squeeze out another couple of levels by considering M-conjugates. The best previous result I have found in the archives was through level 7 (reported on 7 December 1981, and again on 3 August 1992). Distance Number Branching from of Factor Start Cubes 0 1 1 12 12.00 2 114 9.50 3 1,068 9.37 4 10,011 9.37 5 93,840 9.37 6 878,880 9.37 7 8,221,632 9.35 8 76,843,595 9.35 (new) = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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?