Date: 6 Dec 1980 1428-PST From: Dave Dyer <DDYER> In-Reply-To: Your message of 6-Dec-80 1340-PST Remailed-date: 6 Dec 1980 1429-PST Remailed-from: Dave Dyer <DDYER at USC-ISIB> Remailed-to: cube-lovers at MIT-MCWhile I believe it is true that all symmetric positions are local maxima,
It is definitely NOT true that all local maxima are symmetric. As
a counterexample, consider that a repeated permutation is at a local
maximum 1/2 way through its period. So for example, the Idempotent
( r u -r -u )^6 is at a familiar but unsymmetric local maximum
halfway through.
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I think what most of mean by LOCAL MAXIMUM is that ANY twist will
bring you closer to home. The proposed counterexample can be
taken farthur away from home (eg (R U -R -U)^3 then D)