From hoey@aic.nrl.navy.mil Thu Jul 29 10:11:15 1993 Return-Path: Received: from Sun0.AIC.NRL.Navy.Mil by life.ai.mit.edu (4.1/AI-4.10) for /com/archive/cube-lovers id AA23418; Thu, 29 Jul 93 10:11:15 EDT Received: by Sun0.AIC.NRL.Navy.Mil (4.1/SMI-4.0) id AA09096; Thu, 29 Jul 93 10:11:13 EDT Date: Thu, 29 Jul 93 10:11:13 EDT From: hoey@aic.nrl.navy.mil (Dan Hoey) Message-Id: <9307291411.AA09096@Sun0.AIC.NRL.Navy.Mil> To: Cube-Lovers@life.ai.mit.edu Subject: Oops... Re: Hint wanted for 4x4x4 Cc: Dik.Winter@cwi.nl, ronnie@cisco.com (Ronnie B. Kon) I wrote: ? The key is that commutators are always odd permutations. So do the ? move that is an odd permutation of the edges, then use commutators. But I *Meant*: ! The key observation is that commutators are always even ! permutations. So you to perform an odd permutation on edge, you ! should do the move that is an odd permutation of the edges, then use ! commutators. Dan