From: Dan Hoey at CMU-10A To: Cube-Lovers at MIT-MC Subject: Re: Supergroup In-Reply-To: Woods@PARC-MAXC's message of 31 Jul 81 01:01-EST Message-Id: <31Jul81 062607 DH51@CMU-10A> Don Woods's answer is correct. When the edges and corners are in their solved positions, the total face center twist is zero modulo 180 degrees. Thus the number of face centers that are twisted 90 degrees must be even. A proof of this appeared in Cube-Lovers last year. A process to twist the U face center 180 degrees without changing anything else is (U LR UU L'R')^2. This process comes from Singmaster's book. I sent Cube-Lovers a general procedure for solving the supergroup in January. If you want a copy of either of these messages, send a note to Hoey@CMU-10A.