From cube-lovers-errors@mc.lcs.mit.edu Thu Sep 17 17:18:28 1998 Return-Path: Received: from sun28.aic.nrl.navy.mil by mc.lcs.mit.edu (8.8.8/mc) with SMTP id RAA12950; Thu, 17 Sep 1998 17:18:27 -0400 (EDT) Precedence: bulk Errors-To: cube-lovers-errors@mc.lcs.mit.edu Date: Mon, 14 Sep 1998 14:14:22 -0400 (Eastern Daylight Time) From: Jerry Bryan Subject: Re: Weak Local Maxima, 6f from Start In-Reply-To: <14Sep1998.111621.Hoey@AIC.NRL.Navy.Mil> To: Cube Lovers Message-Id: > It turns out that 6f is indeed the shortest. There are two such positions > unique to symmetry which are 6f from Start, the Pons and one other. The > other one is quite pretty: > > L2 R2 D2 U2 B' F (6f*) > I didn't notice it originally, but this position is in the slice subgroup, and is only one slice move from Pons. Half turns such as L2 can be written equally well as either LL or as L'L', so we can write (L2 R2) as (L'R)(L'R) and (D2 U2) as (D'U)(D'U). Thus, the weak local maximum 6f from Start can be written as five slices, one slice short of Pons. L'R L'R D'U D'U B'F All we would have to do to get the Pons would be to add one more B'F slice. ---------------------- Jerry Bryan jbryan@pstcc.cc.tn.us