From BRYAN@wvnvm.wvnet.edu Fri May 26 19:37:17 1995 Return-Path: Received: from WVNVM.WVNET.EDU by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA16994; Fri, 26 May 95 19:37:17 EDT Received: from WVNVM.WVNET.EDU by WVNVM.WVNET.EDU (IBM VM SMTP V2R2) with BSMTP id 9666; Fri, 26 May 95 19:33:52 EDT Received: from WVNVM.WVNET.EDU (NJE origin BRYAN@WVNVM) by WVNVM.WVNET.EDU (LMail V1.2a/1.8a) with BSMTP id 1582; Fri, 26 May 1995 19:33:51 -0400 Message-Id: Date: Fri, 26 May 1995 19:33:50 -0400 (EDT) From: "Jerry Bryan" To: , "Cube Lovers List" Subject: Re: AntiSlice Under M-conjugacy (and a problem with slice) In-Reply-To: Message of 05/24/95 at 17:14:09 from mreid@ptc.com On 05/24/95 at 17:14:09 mreid@ptc.com said: >hi jerry, >you said >> On 05/22/95 at 17:48:42 mreid@ptc.com said: >> >> >> Level Positions Strong Weak Total >> >> Local Max Local Max Local Max >> >> >> >> 6 184 1 35 36 >> >> >beg the obvious question: what is that strong local maximum, >> >which is unique up to symmetry? >> >> I haven't verified in the antislice data base, but it *has* to be >> Pons Asinorum, accomplshed as six antislices. >no it hasn't. this is the equivalent of the face turn metric, >i.e. your "level" is half the face turn distance. (RL and RRLL >each count as 1, which is half their face turn count.) >then pons asinorum is at level 3, and gives the weak local maximum >at that level. Mike is correct. Try instead, (L2R2)(U2D2)(F'B')(U2D2)(L2R2)(F'B'). This is a very pretty pattern which may well have a name, but I don't know what the name is. Also, it is its own inverse. Is the length 12h in ? Is it a local maximum (strong or otherwise) in ? Is the length 20q in ? Is it a local maximum in ? = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 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