From cube-lovers-errors@mc.lcs.mit.edu Mon Jan 25 14:16:47 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 OAA15939 for ; Mon, 25 Jan 1999 14:16:47 -0500 (EST) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Mail-from: From cube-lovers-request@life.ai.mit.edu Sun Jan 24 00:08:55 1999 Date: Sun, 24 Jan 1999 00:07:11 -0400 (EDT) From: Jerry Bryan Subject: Re: Corners Only, Ignoring Twist In-Reply-To: To: Cube-Lovers Reply-To: Jerry Bryan Message-Id: On Sun, 27 Sep 1998, Jerry Bryan wrote: > In developing a no-twist, no-flip version of the program, I decided to try > it out on the corners only case. Here are the results. Here is one more tidbit on this subject. The program which performed the God's Algorithm search for the no-twist corners only case produced a summary by symmetry class. I was surprised to note that there were two positions for which Symm(x)=M. Normally, there is only one position for the corners where Symm(x)=M, namely the position which fixes all the corners (i.e., Start). However, if twists are ignored, then the central inversion of the corners has the property that Symm(x)=M. This is analogous to the Pons Asinorum position where the edges are centrally inverted. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Robert G. Bryan (Jerry Bryan) jbryan@pstcc.cc.tn.us