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                    Make sure you understand Rubik's Cube notation.
                    Pictures courtesy of Amaury Sechet.

                    Picture by Amaury Sechet
                    From This...
                    Picture by Amaury Sechet
                    To This...

                    There are 57 OLL (orientation of the last layer) cases. Using these algorithms you can orient any given case in one step. Put simply, this step makes the top face one solid color. All knowledgeable cubers would recommend finishing learning all the PLLs before you begin tackling full OLL. These are some of the algorithms that I use.


                    Printable OLL Page

                       R2 D R’ U2 R D’ R’ U2 R’
                    R U R' U R U2 R2 U' R U' R' U2 R
                     

                     

                    Thanks for the OLL Images, Lance.

                     

                    R U R' U R U2 R'
                    R U' L' U R' U' L 

                    R U2 R2 U' R2 U' R2 U2 R
                    R U' L' U R' U L U L' U L

                    F' (r U R' U') r' F R
                    U' F R' F' Rw U R U' Rw'

                     ( R U R' U') M’ U R U' r'
                    Above algorithm is sexy enough.
                     

                    F (R U R' U') F' 
                    It's 6 moves. Come on.

                    R' (F R U R' U' F') U R

                    R' U' (R' F R F') U R 

                    r’ U (r U r’ U’) r y R U’ R’

                    r U r' (R U R' U') r U' r'

                       R U2 R2 U' R U' R' U2 F R F'

                    F (R U R' U') R F' (r U R' U') r'
                    Avoid "matching colors" on UF and you're fine.

                    f (R U R' U') f' 

                    R U B' U' R' U R B R' 
                    U' F' L F L' U' L' U' L U L' U L

                       (R U R' U) R U' R' U' (R' F R F')

                       r U R' U R U' R' U R U2 r'

                       F R U R' U' R U R' U' F' 
                    R U2 R' U' R U R' U2 R' F R F'

                       R B’ R2 F R2 B R2 F’ R
                    U (FURU'R'F')(R'U'RU'R'U2R)

                        F R U' R' U' R U R' F'

                       r U2 R' U' R U' r'

                       r U R' U R U2 r'
                    L' U2 L U2 L F' L' F

                       r R2 U’ R U’ R’ U2 R U’ r’ R

                       R U R' y R' F R U' R' F' R

                       (R' F R F') R U2 R' U’ (F’ U’ F) 
                    F' L F' L2 U L U L' U' L F2

                    R U R' U R U' R' U R U' R' U' (R' F R F')
                    U' R U R' U R U2 R' (FRUR'U'F')

                       M U (R U R' U') M2 (U R U' r')

                       M U (R U R’ U’) r R2 F R F’

                          (f R U R' U' f') U' (F R U R' U' F')

                             (F R U R' U' F') (f R U R' U' f')

                    R' U' R U' R' U2 R
                    R' U L U' R U L'

                    R U2 R' U' R U R' U' R U' R'
                    F (RUR'U')*3 F'

                    (r U R' U') r' F R F'
                    U2 (Lw' U' L U) R U' L' U x'

                       M' U M U2 M' U M 
                    Lw U' R U2 L' U L U2 R' Lw'

                    (R U R' U') (R' F R F')
                    R' U' R U x' R U' R' U x

                    L (F' L' U' L U F) U' L'

                    (R U R' U') x D' R' U R U' D

                    l U' (l' U' l U) l' y L' U L

                    l’ U’ l (L’ U’ L U) l’ U l 

                    R' U' R U' R' U y' R' U R B

                    F (U R U' R') (U R U' R') F'
                    U R' U' R' F R F' R U' R' U2 R

                     F' (U' L' U L) F 

                    R' U' (F U R U' R' F') R 
                    U' F R' F' R U R U R' U' R U' R'

                       (R' U' R U') R' U R U R B' R' B

                    r' U' R U' R' U R U' R' U2 r

                       R' U' l' U R U' R' U R U' x' U R
                    L' U2 L U L' U' L U2 L F' L' F

                    U2 Rw' U Rw2 U' Rw2 U' Rw2 U Rw'
                    U (B'R'U'RUB)(RUR'URU2R')

                       R U2 R2' F R F' R U2 R'

                       r' U2 R U R' U r

                              r' U' R U' R' U2 r 
                    U2 R U2 R' U2 R' F R F'

                       r' R2 U R' U R U2 R' U r R'

                       (R’ U’ R) y’ x’ (R U’ R’) F (R U R’)

                       R2' U R' B' R U' R2' U R B R' 
                    U2 F R' F R2 U' R' U' R U R' F2

                    (R’ F R F’) (R’ F R F’) (R U R’ U’) R U R’
                    U' R' U' R U' R' U2 R (FRUR'U'F')

                       R U R' U (R' F R F') U2 (R' F R F)'

                          R U2' R2' F R F' U2 M' U R U' r'

                       (f R U R' U' f') U (F R U R' U' F’)

                       R U2 (R2' F R F') U2' (R' F R F')