Date: 17 JUL 1980 1635-EDT From: ALAN at MIT-MC (Alan Bawden) Subject: the cross design To: RP at MIT-MC CC: CUBE-HACKERS at MIT-MC Yes, the cross design is possible. I will let BSG try and describe it if people want. It is fairly straightfoward to tell if a position is reachable. I am thinking of onlining the proof that there are 12 equivalence classes of cubes (I think I have a fairly simplified version), and if I do it should contain an algorithm to tell if a position is reachable.