From BRYAN@wvnvm.wvnet.edu Tue Feb 21 03:33:17 1995 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA02275; Tue, 21 Feb 95 03:33:17 EST Message-Id: <9502210833.AA02275@life.ai.mit.edu> Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 9130; Mon, 20 Feb 95 20:11:51 EST Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 3003; Mon, 20 Feb 1995 20:11:51 -0500 X-Acknowledge-To: Date: Mon, 20 Feb 1995 20:11:50 EST From: "Jerry Bryan" To: "Cube Lovers List" Subject: Pons Asinorum Superflipped Halfway Positions 1. L' R D' R L' F R' B' U' F' 2. L' R D' R L' F U' F' R' B' 3. U' D L' D U' F D' B' R' B' 4. F' B U F' B D' F' L' D' B' 5. U' D F U' D R' B R U R 6. U' D L' D U' F R B D B 7. F' B L F' B D' F' D' R' D' 8. F' B L F' B D' R' U' F' D' 9. U' D B' U' D L D L F R 10. B B F U' D R F D B U This presentation of the data is a little dissatisfying. These ten processes yield representative element *positions*. With a certain amount of analysis, you could take M-conjugates of the *processes*, plus maybe a little astute rearranging of commuting moves, and make the processes look a little more similar, I think. I actually did so for the five Pons Asinorum halfway positions, but those were easy to futz around with compared to the ones above. Notice, for example, that the first three moves of each of the first nine processes are M-conjugates. That is about as far as I can go in my head. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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