- Nov 29, 2008
If R and R2 count as 1 move, then R' counts as 2 moves in the metric you suggest. In QTM R and R' count as one move and R^2 counts as 2 moves. If you count the number of canonical maneuvers for each length you get the same distribution as in QTM and hence the same lower bound which is 21 (see http://cubezzz.duckdns.org/drupal/?q=node/view/236). I suspect Gods number in the neighborhood of Gods number for QTM.I just had the idea: I wonder what God's number is if we exclude all primes? So just R and R2 are allowed, not R'. Of course, we could require R2 and R' because of symmetry, but that is indifferent.