Date: 10 Sep 1980 9:37 pm PDT (Wednesday) From: Woods at PARC-MAXC Subject: Re: How do you maximally randomize a cube? In-reply-to: ALAN's message of 11 SEP 1980 0016-EDT To: ALAN at MIT-MC (Alan Bawden) cc: CUBE-HACKERS at MIT-MC It is not obvious to me that any twist in a maximally distant state brings you closer to the home position. How do you know there aren't two equally distant states that are a qtw apart? There is probably a parity argument that proves this can't be so, but if you count half-twists as single operations I'd be much surprised if you could find a simple proof. -- Don.