From cube-lovers-errors@mc.lcs.mit.edu Mon May 3 15:29:40 1999 Return-Path: Received: from sun28.aic.nrl.navy.mil (sun28.aic.nrl.navy.mil [132.250.84.38]) by mc.lcs.mit.edu (8.9.1a/8.9.1-mod) with SMTP id PAA17694 for ; Mon, 3 May 1999 15:29:40 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Date: Sat, 1 May 1999 13:37:32 -0400 (EDT) From: der Mouse Message-Id: <199905011737.NAA19339@Twig.Rodents.Montreal.QC.CA> To: cube-lovers@ai.mit.edu Subject: Re: Reinventing (and some edge-flipping techniques) > Basically there is no 'simple' way to flip edges, where 'simple' > means easily understood and remembered. On what point does the Spratt wrench fail? That's always been my favored edge-flipper. (On the 3-Cube, that is; when solving a dodecehedral puzzle I bought from Mr. Bandelow, I was forced to develop other edge-flippers, and the one I ended up with maps easily onto the Cube. In 3-Cube terms, it's based on R F' R' F, which induces a 3-cycle (fr,fd,dr) on edges. By applying this, rotating the cube 120 degrees about its rfd-lbu long diagonal, and applying the inverse, you can get a two-edge flipper at the price of disturbing four corners. The dodecahedron I solve by doing edges first with this procedure, then using (the dodecehedral analog of) (R F' R' F) 3, which leaves edges alone and produces two corner swaps, to fix up the corners. But when solving the 3-Cube, I still find the Spratt wrench more convenient.) What I'd like is a puzzle like the dodecahedron, but with an additional turning mode: 72 degrees on a cut through the center. The puzzle as it stands has face-cut lines that make it clear such turns are conceivable, though designing a mechanism for them would be interesting. Perhaps when we get force-reflecting datagloves.... :-) der Mouse mouse@rodents.montreal.qc.ca 7D C8 61 52 5D E7 2D 39 4E F1 31 3E E8 B3 27 4B