This web page contains useful tricks for solving Rubik's Cube that were found by a computer program I wrote in June 2002. The computer program simulates a Rubik's Cube and tries millions of different combinations of moves, until it finds combinations that affect the corners and edges on only one of the 6 planes of the cube. The original document was a Microsoft Excel spreadsheet. I optically scanned the diagrams from an old printout of that spreadsheet, hence the somewhat degraded image quality.
word  definition 
corner  One of the 8 pieces of the Rubik's Cube that has 3 tiles on it. 
cost  The number of face rotations needed to perform a nugget. 
cycle  To move 3 edges/corners from position A to position B, B to C, and C to A. 
edge  One of the 12 pieces of the Rubik's Cube that has 2 tiles on it. 
flip  To rotate the orientation of an edge (there are 2 possible orientations). 
mirror  The mirror image of a nugget, with the mirror held parallel to the cube's right face. 
nugget  A sequence of moves on the Rubik's Cube that performs a desired operation. 
reverse  The inverse of a nugget, meaning the sequence of moves that would undo the nugget. 
spin  To rotate the orientation of a corner (there are 3 possible orientations). 
swap  To move 2 edges/corners from position A to B and B to A. 
tile  One of the colored faces of either an edge or a corner. 


N1: Cycles 3 corners on the top face, spinning one clockwise and one anticlockwise.  
f+ r+ f l+ f+ r f l 
N2: Cycles 3 edges without flipping any of them.  
f2 t+ x f2 x+ t+ f2 
N3: Cycles 3 edges, flipping 2.  
x f+ x+ t2 x f+ x+ 
N4: Swaps 2 corners and 2 edges, with no flipping/spinning.  
f2 r+ t+ r f2 l+ b l+ b+ l2 
N5: Spins 3 corner cubes anticlockwise and cycles 3 edge cubes.  
r t r+ t r t2 r+ t2 
N6: Cycles 3 edges, flipping 2 of them.  
f t f+ x b f+ b+ x+ 
N7: Swaps 2 pairs of opposite edges, flipping one in each pair.  
f t l t2 l+ f+ t+ r+ t2 r 
N8: Spins 3 corners anticlockwise, and flips 2 edges.  
r+ t+ r2 f+ r+ f2 t+ f+ t2 
N9: Cycles 3 corners, spinning each clockwise.  
f+ r t2 r+ f r f+ t2 f r+ 
N10: Swaps both diagonally opposite corners, with no spinning of any.  
f2 x2 p2 b f2 x2 p2 t 
N11: Flips 2 adjacent edges.  
t+ f+ t+ f2 b l t l+ t+ b+ f2 t2 f 
N12: Flips 2 opposite edges.  
t+ y+ r t+ f r+ t y l+ t f+ l 
N13: Spins 2 opposite corners.  
t2 r+ f b2 f+ r t2 r+ f b2 f+ r 
N14: Flips all 4 edges on top face.  
t+ x+ f2 r2 b2 r2 p+ r2 b2 r2 f2 x 