Date: 10 DEC 1980 0834-EST From: DCP at MIT-MC (David C. Plummer) Subject: A configuration symmetric wrt the first QTW To: CUBE-LOVERS at MIT-MC I believe the following is symmetric in the sense that any QTW will bring you closer to home: All corners are rotate, and letting + indicate clockwise and - counterclockwise, each face has the following corner configuration +- -+ (and all the edges are intact) a total map of the cube corners might look like +- -+ +- -+ +- -+ -+ +- -+ +- +- -+ Each face is essentially the same: edges OK and all corners rotated so that opposite corners are rotated in the same direction. It is rather intuitive to me that rotating a face clockwise is the same as rotating the face counterclockwise. This fulfills the condition needed for maximality, but what flavor of symmetric is it (if the symmetry is easily describable). Also, does anybody have a 28 QTW algorithm (OR LESS!!) to go between solved and this position.