Steps to solving the Rubik's cube (3x3x3)
2a. If the two corners in the correct position are parallel (in line on the same edge):
Orient the cube as shown in Figure 2 where the two corner pieces in the correct position are at the fronttop corners of the cube and the two corner pieces in the incorrect position are at the frontbottom corners of the cube. Perform Move 1, then proceed to step 3.  
Move 1: U1 F U L1 U L U1 F2

Orient the cube as shown in Figure 3, with side 1 in the back and either of the correctly positioned corners in the topleftfront and bottomrightfront positions. Perform Move 1, then go back to step 2, progressing to step 2a after correctly rotating Side 2 as instructed. 
Examine side 2 of the cube. Zero, one, two, three, or even four of the corner pieces will be oriented correctly such that they perfectly line up with their adjacent middlecenter pieces. If all four are correct, the cube should look as shown in Figure 8 (below). If not:
3a. For zero correctly oriented pieces:
Position the cube as shown in Figure 4 such that Side 2 is facing you. Perform Move 2, then return to the start of step 3.  
Move 2: U1 F2 U F U1 F U F2 In words, rotate the upper side (red here) one quarter turn counterclockwise, then the front side (white here) two quarter turns (halfway around), then the upper side 1/4 turn clockwise, etc. 
Position the cube as shown in Figure 5. Perform Move 2, then return to the start of step 3 only if the four corner pieces of side 2 are not oriented correctly. If they are correct, as shown in Figure 8, go to step 4. 
Position the cube as shown in Figure 6. Perform Move 2, then return to the start of step 3. 
It is not possible to have 7 corners oriented correctly while just one is incorrect. If your cube is in fact like this then it has been disassembled in the past and incorrectly reassembled. You will have to disassemble it again and reassemble correctly. 
NOTE: Step 3 may need to be repeated numerous times. Also, the move directly before all four corner pieces are oriented correctly will have just one piece oriented correctly, as shown in Figure 5 (step 3b).

Go on to Steps 4 and 5
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Last Modified May 9, 2009