cube files
Indexed Cube Lovers Archive
Archives
The 4x4x4 centres can be solved in 22 moves
Submitted by jaap on Wed, 09/21/2005 - 02:47.In the yahoo speedcubing forum Chris Hardwick asked a question about analysis of solving the centres of the 4x4x4 cube. I felt that it was an easy thing to look at using my own solving program, so here are the results.
Finding God's Algorithm for the centres only was too hard a task since there are 24!/4!^6 = 3246670537110000 possible centre arrangements. I therefore split it into two stages.
First of all, solving 2 particular opposite centre colours on the 4x4x4 cube, placing them on any 2 opposite faces.
depth 0, positions 6, total 6
depth 1, positions 36, total 42
depth 2, positions 624, total 666
Finding God's Algorithm for the centres only was too hard a task since there are 24!/4!^6 = 3246670537110000 possible centre arrangements. I therefore split it into two stages.
First of all, solving 2 particular opposite centre colours on the 4x4x4 cube, placing them on any 2 opposite faces.
depth 0, positions 6, total 6
depth 1, positions 36, total 42
depth 2, positions 624, total 666
» 6 comments | read more
