From cube-lovers-errors@mc.lcs.mit.edu Mon Aug 18 16:16:56 1997 Return-Path: Received: from sun30.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.1/mc) with SMTP id QAA02836; Mon, 18 Aug 1997 16:16:56 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Mail-from: From nbodley@tiac.net Sun Aug 17 14:33:24 1997 Date: Sun, 17 Aug 1997 09:23:04 -0400 (EDT) From: Nicholas Bodley To: Dan Hoey Cc: Cube Mailing List Subject: Patterns on larger cubes (Was Re: isoglyphs) In-Reply-To: <199708170235.WAA07984@sun30.aic.nrl.navy.mil> Message-Id: Perhaps many List subscribers have realized that (unless I'm very confused!) while the current highly-evolved discussion of patterns (isoglyphs, etc.) pertains only to 3^3s, there must be enormous "worlds to conquer" when one considers [maneuvers] to create patterns on the 4^3 (Rubik's Revenge) and the 5^3. I understand little of the current discussion about isoglyphs (even if the term itself makes sense); nevertheless, it's delightful to see such discussions going on, and I have great respect for those who do understand and can contribute. (I wouldn't have it any other way!) It's perhaps of interest to consider a Theory of Mechanisms, in which it would be possible (eventually) to design an optimum set of innards for, say, a 5^3, or to rigorously prove that what exists is optimal. Connections with topology and kinematics would be not at all unexpected. Close connections with CAD would also make sense. My best regards to all, |* Nicholas Bodley *|* Electronic Technician {*} Autodidact & Polymath |* Waltham, Mass. *|* ----------------------------------------------- |* nbodley@tiac.net *|* When the year 2000 begins, we'll celebrate |* Amateur musician *|* the 2000th anniversary of the year 1 B.C.E. --------------------------------------------------------------------------