I analyzed the number of generic move sequences to get lower bounds for God's number of Megaminx, taking into account the commutativity of moves. There are a lot of commutating moves because of the many disjoint faces of Megaminx. In htm, I found a lower bound of 45 moves and in qtm a lower bound of 55 moves.

I posted the details here:

http://cubezzz.dyndns.org/drupal/?q=node/view/328

## Bookmarks