[next] [prev] [up] Date: Sat, 06 Dec 80 18:41:00 -0500 (EST)
[next] [prev] [up] From: David C. Plummer <DCP@MIT-MC >
[next] [prev] [up] Subject: Re: That 28 move Plummer Cross
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-MC

While 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.

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)

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