1. R'UR'U'-R'U'-R'URUR2 R2U'R'U'RURURU'R RB'R-F2-R'BR-F2R2 L'BL'-F2LB'L'-F2L2 UR'U'RU'RURU'R'URUR2U'R'U x'F-RU'R'U-DR'D-U'-R'UR-D2. xUR'U'LURU'-R2w'U'RULU'R'U RBLB'R'-FB-RF'L'FR'-F'B'. RUR'U'R'FR2U'R'U'RUR'F' R'UR'U'-B'DB'D'-B2R'B'RBR R'UR'D'w-R'F'R2U'R'UR'FRF U'R'URU'R2-y'R'U'RU-BRB'R'B2 R'U2-RU2'-R'FRUR'U'-R'F'R2U RU2'R'U2-LwU'L'wU‘ -RULwUL'wR'U RU2'R'U'RU2'L'UR'U'L R'U2RUR'U2LU'RUL' FRU'R'U'RUR'F'-RUR'U'R'FRF' RUR'y'R2U'wRU'R'UR'UwR2 R'L'U2RLy'RU'LU2R'UL'U2 [R'UL'U2RU'L]x2U [LU'RU2L'UR']x2U' L'U'LyL2UwL'ULU'LU'wL2 x'zDwDR2D'wD'z'U'wRU'R2DR'UR2 M2UM2U2M2UM2 RwRB2R'wR'-B'wB'R2BwB. Shotaro Makisumi’s Algorithms Other People’s Algorithms www.cubefreak.net Permutations: Last Layer PLL 1

2. F-RUR'U'-F'-Fw-RUR'U'-F'w R'RwU-R'wU2-RwU-R'UR2R'w RUR'U-R'FRF'U2-R'FRF' B'R'U'RD'w-RU2-RB'R'B R'U2FRUR'U'F2(y')U2RB MU-RUR'U'-M2'-URU'R'w RU-R'URU'R'UR-U2R' RU2-R2'U'R2U'R2'-U2R L2wU'R-D2-R'UR-D2R B'R'F-RBR'-F'R B'R'F'-RBR'-FR L'U'LU'L'U2L RUR'URU2R' RU2-R2'FRF'U2'-R'FRF' R'U2x-R'URU'y-R'U'R'UR'F RB2-L'B'LB'R' F'-L'U'LUL'U'LU-F F-RUR'U'RUR'U'-F' LwU'L'w2ULw2UL'w2U'Lw R'wURw2U'R'w2U'R2wUR'w L'wU'- LU'L'ULU'L'U2-Lw RwU-R'URU'R'URU2-R'w L'B2-RBR'BL 2

3. RwUR'U'R-R'wURU'R' B'R'B-L'-B'R2B'-R'B2L BLB'-R-BL2B-LB2R' L'D'w-RDw-LU'L'B'L RDw-L'D'w-R'URBR' RU2-R2'FRF'-RU2R' R'U'RU'R'URU-RB'R'B B'RBR'-U'R'UR LUL'ULU'L'U'-L'BLB' RU'R'U2RU(y)RU'R'U'F' L'ULU2L'U'(y')L'ULUF F'wL'U'LUFw FwRUR'U'F'w RwU-R'URU2'R'w L'wU'-LU'L'U2Lw F'U'F-LF'L'-U-LFL' FUF'-R'FR-U'-R'F'R L'R2BR'BR-B2R'BR'L F-RUR'U'-F'-y-F-RUR'U'-F' 3

4. FRUR'U'F' RU-RB'R'B-U'R' F-URU'R'URU'R'-F' R'U'RU'R'-Dw-R'URB R'U2-R2U-R'URU2-B'R'B RBR'-ULU'L'ULU'L'-RB'R' RUR'U'-Rw-R'URU'R'w LF'L'U'LUFU'L' R'FRUR'U'F'UR RUR'U'-R'FRF' RUR'U'(x)-D'-R'UR-E' LF'L'-U'-LFL'-F'UF R'FR-U-R'F'R-FU'F' L'B'L-R'U'RU-L'BL RBR'-LUL'U'-RB'R' Shotaro Makisumi’s Algorithms Other People’s Algorithms www.cubefreak.net Orientations: Last Layer OLL 4

5. Notation x = Turn the whole cube in direction of R y = Turn the whole cube in direction of U z = Turn the whole cube in direction of F Layers Turns R = Right face L = Left face U = Up face D = Down face F = Front face B = Back face M = Middle slice (between R and L) E = Equatorial slice (between U and D) S = Side slice (between F and B) (no suffix) = Clockwise quarter turn ' = Counter-clockwise quarter turn 2 = Half turn (180 degrees) w = Clockwise double layer quarter turn 'w = Counter-clockwise double layer quarter turn 2w = Doublt layer half turn Whole Cube Turns http://www.planet-puzzle.com/ www.cubefreak.net5 The notation used on this page is the most commonly used notation (RLUDFBxyzEMS) with suffix "w" for double layer turns adopted from JSCC notation. Each face turn is indicated by a letter corresponding to the layer to be turned and a suffix indicating the number of turns and direction. Suffix indicate the direction observed with that face in front. M, E, and S are turned in direction of R, D, and F, respectively. Small Note: Information by Shotaro Makisumi Image by Planet Puzzle Permutations and Orientations Taken by Shotaro Makisumi Information Organized by Alex Aguilar For Video Tutorials Visit: http://www.youtube.com/user/thrawst