Notes on megaminx operators and patterns ---------------------------------------- using https://twizzle.cubing.net/?puzzle=megaminx twizzle is a web based puzzle simulator by Tom Rokicki and Lucas Garron twsearch a program that can find optimal solutions if number of faces used is restricted List collated and maintained by Mark Longridge (1997 to 2022) Initial solutions can be quite lengthy, more optimal solutions are added as they are discovered Although the initial work started in 1997 with the discovery of the 10 spot pattern the vast bulk of this work began in June 2019 when I found out about the web based program twizzle. The standardization of notation for the megaminx (face operators combined with full puzzle rotations) were greatly facilitated by twizzle, thus most cyclic decomposable sequences were discovered using it. From this starting point a human operator can expand such operators into a form which twsearch can use to find more optimal solutions. U2' BR2 U2' BR2' R2' U' R2 U' BR2 U' BR2' R2' U2' R2 5 edge cycle shifted twice (< U,L,R,BR > 14 moves) (L2 E2' U D' L2' E2 U D' 3u)24 2 rings (L E' R2 I2' L' E R2' I2 3u2)18 2 rings (L2 E2' U D' L2' E2 U D' 3u2)24 2 rings shifted twice (L2 E2' U D' L2' E2 U D' 3u2')14 2 rings shifted twice (L2 E2' U D' L2' E2 U D' 3u)24 U' D megaminx equivalent of 'cube in a cube' (L E' R2 I2' L' E R2' I2 3u2)18 U D' megaminx 'cube in a cube' improvement (146 moves) (L2 F2 R2 BL2 BR2)14 L2 BL2 BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U' megaminx 'cube in a cube' new approach (104 moves) this is 5 spot combined with 5 interior edge cycle U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' (F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2)2 U' megaminx 'cube in a cube' new approach #2 (84 moves) derived from 'cube in a cube' shifted twice process U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 U' megaminx 'cube in a cube' (simplified, 77 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' BL2' L2' U2 BL2' U2' BL2 U BL2' U2' BL2 U' L2 U L2' U2' BL2' U' BL2 U2' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 U' megaminx 'cube in a cube' (twsearch improved, 75 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' BL2' U' L U2 L2 U2 BL2' U2 BL L2' BL U L2' BL' U' L' U2 BL U2' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 U' megaminx 'cube in a cube' (twsearch redo, 73 moves) U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (simplified, 62 moves) U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' R2 U2 L2 U2' R2' U BR2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch more, 60 moves) R2 U2 L2 U2' R2' U BR2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' R2 U2 L2 U2' R2' U BR2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch redo, 58 moves) F2 BR2 U L2 U2 L2' U2 BR2' BL2 U2' F2' U' R2 U2 R2' U BL2' R2 U2 L2 U2' R2' U BR2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch re-redo, 57 moves) F2 BR2 U L2 U2 L2' U2 BR2' BL2 U2' F2' U' R2 U2 R2' U BL2' R2 U2 L2 U2' R2' BR2 U2' L2' U' F2 U2' BR2' BL2 U2' F2' U2 BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch grinding, 56 moves) F2 BR2 U2' BR2' U2' L2 U2 L2' U' BL2 U2' F2' R2 U2' BL2' U' L2 U2' R2' BR2 U2' L2' U' F2 U2' BR2' BL2 U2' F2' U2 BL2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch again, 53 moves) F2 BR2 U2' BR2' U2' L2 U2 L2' U' BL2 U2' F2' R2 U2' BL2' F2 U2 BL2 U2' F2' BL2' U' L2 U2' R2' BR2 U2' L2' U2 BR2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch redo, 52 moves) F2 BR2 U2' BR2' U2' L2 U2 L2' U2 F2' R2 U2' F2 BL2 U2 BL2' U2' F2' U' L2 U2' R2' BR2 U2' L2' U2 BR2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (twsearch iteration, 49 moves) F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F' BR2 U2' BR2' U2' L2 U2 L2' U2 F2' R2 U2' F2 BL2 U2 BL2' U2' F2' U' L2 U2' R2' BR2 U2' L2' U2 BR2' megaminx 'cube in a cube' (transpose, 48 moves) F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U') L' BR2 R2 U2 BR2 U2' L2' F' U2' BR2' U2 F2' R2 U2' F2 BL2 U2 BL2' U2' F2' U' L2 U2' R2' BR2 U2' L2' U2 BR2' megaminx 'cube in a cube' (twsearch iteration, 47 moves) BR2 U2' BR2' R2 U2' L2 U2 L2' U BL2 U2' F2 BL2' U2 F2' U L2 U2' L2' R2' BR2 U2 BR2' F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 megaminx 'cube in a cube' (condensed, 45 moves) created using deltas + pinwheels F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR2' megaminx 'cube in a cube' (improved, 43 moves) BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR BL2' L2' R2' U2 R2' U' F2' R2 F2 U' F2' U R2' F2 U R2 U' R2 L2 BL2 BR2 megaminx 'cube in a cube' (combine via 3u2, 42 moves) R2 BR2 BL2 L2 R F2 R' U R F2' R' L2' BL2' BR2' R2' C2' E2' BF2' I2' C' A2' C D' C' A2 C I2 BF2 E2 C2 megaminx 'cube in a cube' (perfredlund using conjugates, 30 moves) (L2 E2' U D' L2' E2 U D' 3u2')14 U2 D2' megaminx 'cube in a cube' shifted twice (114 moves) (L2 E2' U D' L2' E2 U D') (BR2 A2' U D' BR2' A2 U D' 3u2')13 U2 D2' megaminx 'cube in a cube' shifted twice, partial expansion ((L2 E2' U D' L2' E2 U D') (BR2 A2' U D' BR2' A2 U D') (F2 BF2' U D' F2' BF2 U D') (BL2 C2' U D' BL2' C2 U D') (R2 I2' U D' R2' I2 U D'))2 (L2 E2' U D' L2' E2 U D') (BR2 A2' U D' BR2' A2 U D') (F2 BF2' U D' F2' BF2 U D') (BL2 C2' U D' BL2' C2 U2' D2) megaminx 'cube in a cube' shifted twice, full expansion (L2 E2' U D' L2' E2 U D' 3u2')13 L2 E2' U D' L2' E2 U2' D2 megaminx 'cube in a cube' shifted twice (112 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U2 BL2' L2' F2' R2' BR2' (BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U)2' BR2 R2 F2 L2 BL2 U2 megaminx 'cube in a cube' shifted twice (new approach, 60 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U2 BL2' L2' F2' R2' BR2' L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' BR2 R2 F2 L2 BL2 U2 megaminx 'cube in a cube' shifted twice (twsearch improved, 46 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U' BL2' L2' F2' R2' BR2' L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' BR2 R2 F2 L2 BL2 megaminx 'cube in a cube' shifted twice (simplified, 45 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U' F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 megaminx 'cube in a cube' shifted twice (simplified more, 43 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 megaminx 'cube in a cube' shifted twice (easy simplification, 42 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' U2 F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 megaminx 'cube in a cube' shifted twice (twsearch iteration, 41 moves) L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 megaminx 'cube in a cube' shifted twice (twsearch redo, 38 moves) L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F L2 BL2' R' U' BR' U R BR2 R' U2 BR U BL' BR2 BL2 L' BL L' R F2 megaminx 'cube in a cube' shifted twice (twsearch more, 37 moves) R2 BR2 BL2 L2 R F2 R' U2 R F2' R' L2' BL2' BR2' R2' C2' E2' BF2' I2' C' A2' C D2' C' A2 C I2 BF2 E2 C2 megaminx 'cube in a cube' shifted twice (perfredlund, 30 moves) ((BL2 BR2 U2)6 U2' BR2') almost 3 spot (L2 3u' 3f')16 almost 3 spot ((BL2 BR2 U2)6 U2' BR2') (((BL2 BR2 U2)6 U2' BR2'))4 3f R BR2 R' BR' R BR' R' BR2 R' BR2' R BR R' BR R BR2' 3f 3f 3f 3f cherries ((BL2' U2' BR2')5 BL2')4 3f R BR2 R' BR' R BR' R' BR2 R' BR2' R BR R' BR R BR2' 3f 3f 3f 3f cherries (help from twsearch) (U BL BR' U' BL BR' U2' BL' BR U' BL' U BR BL' BR' U BL' BR2' U' BL BR' U')' 3f R BR2 R' BR' R BR' R' BR2 R' BR2' R BR R' BR R BR2' 3f' cherries (recalculated via twsearch) (U BL BR' U' BL BR' U2' BL' BR U' BL' U BR BL' BR' U BL' BR2' U' BL BR' U')' U BL2 U' BL' U BL' U' BL2 U' BL2' U BL U' BL U BL2' cherries (recalculated again) U BR BL' U BR2 BL U' BR BL BR' U' BL U BR' BL U2 BR BL' U BR BL' BL2 U' BL' U BL' U' BL2 U' BL2' U BL U' BL U BL2' cherries (recalculated a third time) U BL' BR2' U' BL BR' U' BL BR U' BL' BR U' BL2' BR' U BL' BR' BL U BR' U' cherries (recalculated a fourth time, 22 moves) (U BL' BR2' U' BL BR' U' BL BR U' BL' BR U' BL2' BR' U BL' BR' BL U BR' U' 3f2 3l 3u2) (U BL' BR2' U' BL BR' U' BL BR U' BL' BR U' BL2' BR' U BL' BR' BL U BR' U')' double cherries (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F Uv2 Rv')22 3 checkerboard (308 moves) (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F Uv2 Rv')22 Fv2 Ev' Uv2' (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F Uv2 Rv')22' building 12 checker from 3 checker U2 L2' F U F' U' F' U L F U' F' U' F U L U' F U' L F U F' U' L' U F' U' L' U L U' F L2' F' U F' L F U' F L U2 L U2' F U F2' L2 U F' U' F' U L F U' F' U' F U L' F L2' U' 3 checkerboard (65 moves) (l r 3u)72 5 spot (BL2 u3)285 R2 BL2 L2 5 spot (BL2 u3)285 R2 BL2 L2 D' 5 spot with ring (L2 R2 3u)36 5 spot (L2 F2 R2 3u')24 5 spot (L2 F2 R2 BL2 BR2)14 L2 BL2 5 spot (72 moves) (L2 3u2')72 5 spot ((R2 L2 BR2 BL2 F2)7 R2 3u2')2 5 spot (L2 R2 F2 BR2 R2 BL2 BR2 L2 BL2 F2 )7 L2 R2 5 spot (72 moves) F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U') L' BR2 R2 U2 BR2 U2' L2' F' U2' BR2' U2 F2' R2 U2' F2 BL2 U2 BL2' U2' F2' U' L2 U2' R2' BR2 U2' L2' U2 BR' R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' U 5 spot (new approach, 70 moves) this is megaminx cube in a cube plus 5 interior edge cycle F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR' R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' U 5 spot (twsearch improvement, 66 moves) BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR BL2' L2' R2' U2 R2' U' F2' R2 F2 U' F2' U R2' F2 U R2 U' R2 L2 BL2 BR2' R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' U 5 spot (condensed, 65 moves) BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR BL2' L2' R2' U2 R2' U' F2' R2 F2 U' F2' U R2' F2 U R2 U' R2 L2 BL2 BR2' R U2' F BR2' BL' U BL BR U' BL' U' F' BL U L BR U L' U R' BR' U 5 spot (twsearch t3600, 64 moves) R2 BR2 BL2 L2 R F2 R' U R F2' R' L2' BL2' BR2' R2' C2' E2' BF2' I2' C' A2' C D' C' A2 C I2 BF2 E2 C2 BR R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' U 5 spot (greatly helped by perfredlund, 54 moves) BR R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R2' BR BL2 L2 BR' R F2 BR R2 U R2' F2' L2' BL2' BR2' U C2' E2' BF2' I2' C' A2' C D' C' A2 C I2 BF2 E2 C2 5 spot (twsearch improvement, 52 moves) (C' A2' E D2' BF2 3u)6 5 spot (twsearch heuristic, 30 moves) (L R u3)72 5 spot with ring (L2 R2 2u)36 5 spot with ring (BL2 BR2 R2 F2 L2)57 BL2 BR2 R2 5 spot shifted twice (L2 U2 R2' U2 3u)252 5 spot shifted twice ((L2 F2 R2 BL2 BR2)14 L2 BL2)2 5 spot shifted twice (144 moves) 3c2 3l' L2' U2' F2' L2' F2 L F2 R' F2' R2' U' BR2' R2' U L U2' BR2 U2 R2 U' BR2' R2' U' BR2 BL2 U' L2' BL2' U' L2 U2 BL2 U' L2' BL2' U' L2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 (L E' U2 D2' 3u')18 3c2 3l' 5 spot shifted twice (new approach, 122 moves) 3c2 3l' BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F U2' (L E' U2 D2' 3u')18 3c2 3l' D2 5 spot shifted twice (another new approach, 97 moves) 3c2 3l' BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F (D2' L E' 3u') (U2 D2' L E' 3u')17 3c2 3l' D2 5 spot shifted twice (improved by hand, 95 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U2 BL2' L2' F2' R2' BR2' L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' BR2 R2 F2 L2 BL2 U2 (BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F)' 5 spot shifted twice (new approach #2, 70 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U' F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 spot shifted twice (simplified, 66 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 spot shifted twice (simplified, 65 moves) uses 5 deltas shifted twice L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 (BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F)' 5 spot shifted twice (new approach improved, 62 moves) uses megaminx 'cube in a cube' shifted 2 + 5 interior edge shifted 2 L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 spot shifted twice (simplified, 61 moves) L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F L2 BL2' R' U' BR' U R BR2 R' U2 BR U BL' BR2 BL2 L' BL L' R F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 spot shifted twice (improved, 60 moves) U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F L2 BL2' R' U' BR' U R BR2 R' U2 BR U BL' BR2 BL2 L' BL L' R F R2 F R F' U' R2 U2' BL' U BL U2 F L2' U2' BL2 U2 L2 U2' BL2' L2 R2' F2 R' F2' 5 spot shifted twice (twsearch amped, 59 moves) U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F L2 BL2' R' U' BR' U R BR2 R' U2 BR U BL' BR2 BL2 L2' R F2 L F' BL R2' F' U' F R U R F L2 U2' BL2 U2 L2 U2' BL2' L2 R2' F2 R' F2' 5 spot shifted twice (twsearch gc, 56 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F R2 BR2 BL2 L2 R F2 R' U2 R F2' R' L2' BL2' BR2' R2' //reorient for simplicity Rv2 Fv R2' F2' L2' BL2' R' BR2' R U2' R' BR2 R BL2 L2 F2 R2 //restore orientation Rv2 Fv 5 spot shifted twice (new method helped by perfredlund, 54 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F2 R2 F2' R2' F' R U R2 F R' F2 BR2 BL2 L2 R F2 R' U2 R F2' R' L2' BL2' BR2' R2' C2' E2' BF2' I2' C' A2' C D2' C' A2 C I2 BF2 E2 C2 5 spot shifted twice (twearch improved, no rotations, 53 moves) BL U2 F U' F' U2' BL' L2 U2 R2 F2' R2' F2' U2' L2' U2 F R U R2 F R' F2 BR2 BL2 L2 R F2 R' U2 R F2' R' L2' BL2' BR2' R2' C2' E2' BF2' I2' C' A2' C D2' C' A2 C I2 BF2 E2 C2 5 spot shifted twice (twsearch redo, 52 moves) (U L U L 3u' L' 3u' L2)9 5 spot shifted twice (twsearch heuristic method, 54 moves) (U L' 3u' U L2' 3u U' L2 3u')8 5 spot shifted twice (twsearch heuristic method 48 moves) (U L' U BL2' U' L2 3u')8 5 spot shifted twice (simplified, 48 moves) (U L Fv2' F' L2' F U F2)6 5 spot shifted twice (twsearch heuristic method 42 moves) (L2 U 3u2')36 5 spot shifted twice (alternate method, 72 moves) (L2 U BR2 U F2 U BL2 U R2 U)7 L2 U 5 spot shifted twice (no rotations, 72 moves) (U' R F U F' U' R' L' U' F' U F L 3u2')32 U 5 edge/corner shift (U2 R F U F' U' R' L' U' F' U F L 3u')24 U 5 edge/corner shift improvement (U2 R F U F' U' R' L' U' F' U F L 3u2')8 U' 5 interior edge shift ("only" 105 moves) ((U2 BL BR U BR' U' BL' R' U' BR' U BR R) (U2 R F U F' U' R' L' U' F' U F L) 3u)4 U' 5 interior edge shift (expanded, 105 moves) ((R BR' F R2 F R2 BR' R BR F' U' BR U F' R' U)' L' U' F' U F L 3u)4 U' 5 interior edge shift (twsearch improved, 89 moves) (U' R F U' BR' U F BR' R' BR R2' F' R2' F' BR R' L' U' F' U F L 3u)4 U' 5 interior edge shift (simplified, 89 moves) ((U' R F U' BR' U F BR' R' BR R2' F' R2' F' BR R' L' U' F' U F L) U' BR R U' BL' U R BL' BR' BL BR2' R' BR2' R' BL BR' F' U' R' U R F 3u2)2 U' 5 interior edge shift (expanded, 89 moves) (U2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u')6 5 interior edge shift (refactored, 84 moves) (F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u')6 U2 5 interior edge shift (refactored, 79 moves) BR R F L BL (BR2 U BR2' BL2' BR2 BL2 U BL2' BR2' BL2 BR2 U2' BR2' U) BL' L' F' R' BR' 3u2 (R F U F' U' R' L' U' F' U F L)' 3f R U2 F' L' U' F' L2 F L' U2 L2' U2' L2 U' F R' 3f' 5 interior edge shift (new approach, 52 moves) BR R F L BL (BR2 U BR2' BL2' BR2 BL2 U BL2' BR2' BL2 BR2 U2' BR2' U) BL' L' F' R' BR' 3u2 (R F U F' U' R' L' U' F' U F L)' U L2 F' A' L' F' A2 F A' L2 A2' L2' A2 L' F U' 5 interior edge shift (simplified less rotations, 52 moves) BR R F L BL (BR2 U BR2' BL2' BR2 BL2 U BL2' BR2' BL2 BR2 U2' BR2' U) BL' L' F' R' BR' 3u2 U R F' L F U' R' U L' F U F' U2' 5 interior edge shift (twsearch improved, 37 moves) BR R F L (BL' U2' BL2 BR2 BL2' BR2' U BR2 BL2 BR2' BL2' U BL2 U BL') L' F' R' BR' 3u2 U R F' L F U' R' U L' F U F' U2' 5 interior edge shift (twsearch improved, 36 moves) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' 3u2 U R F' L F U' R' U L' F U F' U2' 5 interior edge shift (twsearch improved again, 32 moves) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2' 5 interior edge shift (simplified less rotations, 32 moves) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL') U2' BR2 R' U' R U BR2' U2 BL' BR' BL BR U2 F' R' BR' 5 interior edge shift (twsearch iteration, 31 moves) BR R F (U' L BL L' BL' U' BR' BL BR BL' U BL U2' L U' BL' L' BL U2 BR' BL' BR U2) F' R' BR' 5 interior edge shift (twsearch redo, 29 moves) BR R F (U' L BL L' BL' U2' BR' U2 BL U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' 5 interior edge shift (twsearch iteration, 26 moves) BR R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' 5 interior edge shift (twsearch again, 23 moves) [BR R F : (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2')] 5 interior edge shift (restated as a conjugate) [BR R F U2 BR' : U2 L BL L' U2' L U' BL' L' BL U2 BL' U'] 5 interior edge shift (more concise conjugate, 23 moves) BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U BR R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' 5 interior edge shift combined with 5 cycle in U (37 moves) U BR2 U BR2' BL2' BR2 BL2 U BL2' BR2' BL2 BR2 U2' BR' R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' 5 interior edge shift combined with 5 cycle in U (36 moves) BR R U2 BR' U2 BR R' BR' U' R U2' R' BR R BR2' U' BR U' BL' L2' U' BL U L BR' BL' L U BL U BR2 U' R' BR' 5 interior edge shift combined with 5 cycle in U (34 moves) (BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2' 3f 3l2)2 double 5 interior edge shift (64 moves) (BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL') U2' BR2 R' U' R U BR2' U2 BL' BR' BL BR U2 F' R' BR' 3f 3l2)2 double 5 interior edge shift (62 moves) (BR R F U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2' F' R' BR' 3f 3l2)2 double 5 interior edge shift (46 moves) (R F U' BR' U F BR' R' BR R2' F' R2' F' BR R' L' U' F' U F L U 3u')3 U2 5 interior edge double shift (67 moves) (BR U2 (R F U F' U' R' L' U' F' U F L) U2' BR' 3u2')4 5 interior edge double shift (64 moves) (U2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u2)4 5 interior edge double shift (twsearch improved, 56 moves) (U R2' U F2 R2 U F2' U2' R2' U F2 R2 U F2')' 3u2 (F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u2) (U2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u2)2 5 interior edge double shift (refactored, 55 moves) ((U R2' U F2 R2 U F2' U2' R2' U F2 R2 U F2')' 3u2 (F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u2))2 5 interior edge double shift (refactored again, 54 moves) (F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 3u2)4 U2' 5 interior edge double shift (refactored, 53 moves) (U L' U' R2 BR2 U R2 F2 R F2' L' F2' L2 F2 U2 L2)' U' BR2 U2 R2 U' BR2' R2' U' BR2 BL2 U' L2' BL2' U' L2 U2 BL2 U' L2' BL2' U' L2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 U2' 5 interior edge double shift (refactored, 52 moves) L2' U2' F2' L2' F2 L F2 R' F2' R2' U' BR2' R2' U L U2' BR2 U2 R2 U' BR2' R2' U' BR2 BL2 U' L2' BL2' U' L2 U2 BL2 U' L2' BL2' U' L2 F2 U' R2' F2' U' R2 U2 F2 U' R2' F2' U' R2 U2' 5 interior edge double shift (simplified, 51 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR 3u1)2 3l 3u F' U2' R' L' F' L F R U2 L' U' L' U L2 F 3u' 3l' 5 interior edge double shift (new approach, 45 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR) (U2 BL' R' U2 R' U2' BR2' R2' BR2 U2 R U2' R U2' BL) 3u2 3l 3u F' U2' R' L' F' L F R U2 L' U' L' U L2 F 3u' 3l' 5 interior edge double shift (expanded, 45 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR) (U2 BL' R' U2 R' U2' BR2' R2' BR2 U2 R U2' R U2' BL) 3u2 BR' BL2' BF' U' BR' U BR BF BL2 U' BL' U' BL U2 BR 5 interior edge double shift (less rotations, 45 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR) (U2 BL' R' U2 R' U2' BR2' R2' BR2 U2 R U2' R U2' BL) L' F2' A' U' L' U L A F2 U' F' U' F U2 L 5 interior edge double shift (no rotations, 45 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR) (U2 BL' R' U2 R' U2' BR2' R2' BR2 U2 R U2' R) (U2 F' U L F2 U' F2' U2 F L F' L2' BL' U2' F)' 5 interior edge double shift (twsearch improved, 43 moves) (U2 BR' F' U2 F' U2' R2' F2' R2 U2 F U2' F U2' BR) (U2 BL' R' U2 R' U2' BR2' R2' BR2 U2 R U2' R) F' U2 BL L2 F L' F' U2' F2 U F2' L' U' F U2' 5 interior edge double shift (simplified, 43 moves) (U2' BL U2 F U' F' U2' BL' U2 R F U F' R' 3u')2 5 interior edge double shift (2nd new approach, 28 moves) BL U2 F U' F' U2' BL' U2 R F U F' R' U BR U2 (L U' L' U2' BR' U2 F L U L' F') 5 interior edge double shift (twsearch improved, 27 moves) BL U2 F U' F' U2' BL' U2 R F U R2 F' L R2' U' L' R2 F L R2' U L' F' R' U2' 5 interior edge double shift (twsearch improved again, 26 moves) BR R F U2 BR' F' BL U BL' U2' F L U' F' U2 F U BL U' BL' L' BR U2' F' R' BR' 5 interior edge double shift (alternative method, 26 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F U2' 5 interior edge double shift (twsearch improved more, 25 moves) note that BR is not used [BR R F :U2 L U L' U2' BL' U BL' BR' BL BR U2 BR' BL' BR BL U2 BL U' ] 5 interior edge double shift (restated as a conjugate) [BR R F : U BR2 BL' U2' R' U R U BL BR U L U L' U2' BR2 U' ] 5 interior edge dbl shift, (conjugate, 23 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F BL2' U2 BL2 L2 U L2' U BL2' U BL2 L2 U2 L2' 5 interior edge double shift combined with U face 5 edge shift (37 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F' U2 F2 R2 U R2' U F2' U F2 R2 U2 R2' 5 interior edge double shift combined with U face 5 edge shift (36 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' R2 U2 F U F2 U' F' R U F U2' R U2 R F2 U2 R2' F2' U2' F2 U2' 5 interior edge double shift combined with U face 5 edge shift (33 moves) BL U2 F U' F' U2' BL' U2 R F L' U2 L2 U2' L U F' R' U' L2' R2' U' F2' L2 F2 L2' U R2 U 5 interior edge double shift combined with U face 5 edge shift (29 moves) U F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 U 5 interior edge double shift combined with U face 5 edge shift (27 moves) U2 F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 5 interior edge double shift combined with U face 5 edge shift (26 moves) U2 F2' L2 F L' BR' U F L' U2' F' L' U2' L F U BR R2' U' F2' L2 F2 L2' U R2 5 interior edge double shift combined with U face 5 edge shift (25 moves) F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 10 pinwheels (part of cube in a cube process, 22 moves) [F2' R2' BR2' : L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2 ] 10 pinwheels (restated as a conjugate) BL2' L2' F2' R2' BR2' L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' BR2 R2 F2 L2 BL2 10 pinwheels shifted twice (24 moves) F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 10 pinwheels shifted twice (22 moves) [F2' R2' BR2' L2' : U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' ] 10 pinwheels shifted twice (restated as conjugate) F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F2 10 pinwheels shifted twice (twearch iteration, 21 moves) (((L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2) (BF2 BR2' BF2' E2' BR' E2 BR' BF2 BR' BF2' E2' BR2' E2)) 3u')21 5 stars (one 5 cycle away from 10 stars) (U R')9 (U L')9 (U BR')9 (U F')9 (U BL')9 (U R')9 (U L')9 5 stars shifted twice (one 5 cycle away from 10 stars, 126 moves) ((F U F2' U2' F2 U2' F2' U F2' U' F' U2 F U2 F' U' F2)' 3u')24 5 checkerboard + 5 bowties ((U L F)8 3u)24 5 checkerboard + 5 bowties ((U L F)8 3u2')12 5 checkerboard + 5 bowties ((U R')12 3u2')12 5 checkerboard + 5 bowties (288 moves) (U2 R2' U R' U' R' U2' R2 U2' R' U' R' U R2' U' R U2 R2' U' R2' U2 R U2 3u2)12 5 checkerboard + 5 bowties (twsearch reduced, 276 moves) (R U R' L U R2 U' R U' R U R2 L' U' R' U R' U2 R' U R2 U 3u2)12 5 checkerboard + 5 bowties (twsearch redo, 264 moves) ((U L F)8 3u2')8 (R' F R U2' F2 U' L' U L F2' U2 F') 5 checkerboard + 5 bowties (twsearch assisted, 204 moves) ((U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 3u2)2 (R' F R U2' F2 U' L' U L F2' U2 F') 5 checkerboard + 5 bowties (expanded, 204 moves) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 (U R BR)8 (U L F)8 (U BR BL)8 (U F R)8 (F' L F U2' L2 U' BL' U BL L2' U2 L') 5 checkerboard + 5 bowties (no rotations, 204 moves) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 (U R BR)8 (U L F)8 (U BR BL)8 (U F R)7 F U R U L' F' L U' L' U F L U' 5 checkerboard + 5 bowties (simplified, 202 moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u2')2 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u2)2 3r 3f2 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 3c2 3l' (BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2')' 3c2 3l' 5 checkerboard + 5 bowties (new approach, 130 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u2)2 BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2' 3l U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F 3l' 5 checkerboard + 5 bowties (another new approach, 84 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2' 3l U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F 3l' 5 checkerboard + 5 bowties (simplified less rotations, 84 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR' U2' BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U 5 checkerboard + 5 bowties (simplified no rotations, 84 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BL BR' R BR U' BL' U R' BR U BR U BR2' BL2' BR2 BL2 U BL2' BR2' BL2 BR2 U2' BR2' U' 5 checkerboard + 5 bowties (twsearch iteration, 82 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) BR R F (U' L BL L' U2' L U' BL' L' BL U2 BL' U2) F' R' BR' U BR' U2' BR U' R' BR' U' BR R U2 BR' U BR 5 checkerboard + 5 bowties (twsearch more, 71 moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') BF2 I2 A2 E2 D' E2 D C2 E2' D C2' D' C2 E2 C2' D' E2' D2 E2' A2' I2' BF2' 5 checkerboard + 5 bowties (first half of 10 checker + pinwheels, 64 moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U L2 BL2 (R2 U2' R2 U BR2 R2' BR2' U BR2 U' R2 BR2' U' R2' U R2') BL2' L2' F2' 5 checkerboard + 5 bowties (reshuffle reduction, 62 moves) ((L A')12 Fv)38 5 checkerboard + 5 bowties shifted twice (912 moves) (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F 3u')18 5 checkerboard + 5 bowties shifted twice (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F 3u2)16 5 checkerboard + 5 bowties shifted twice (224 moves) ((U L F)8 3u2)21 5 checkerboard + 5 bowties shifted twice ((U L F)8 3u2')4 R 3l F2' (R F U F' U' R' L' U' F' U F L) F2 3l' U2 F' L' U' F' L2 F L' U2 L2' U2' L2 U' F R' 5 checkerboard + 5 bowties shifted twice (126 moves) ((U L F)8 3u2')4 (R' F R U2' F2 U' L' U L F2' U2 F')' 5 checkerboard + 5 bowties shifted twice (twsearch assisted, 108 moves) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 3u2 (R' F R U2' F2 U' L' U L F2' U2 F')' 5 checkerboard + 5 bowties shifted twice (expansion) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 BR U2' BR2 R' U' R U BR2' U2 BL' BR' BL 5 checkerboard + 5 bowties (no rotations) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)7 U BL L 3u2 F U2' F2 L' U' L U F2' U2 R' F' R 5 checkerboard + 5 bowties shifted twice (simplify) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)7 (R2' BR' R2 L' BL' U R2' BL BR R2 BL' U2')' 5 checkerboard + 5 bowties shifted twice (recombined, 105 moves) (U L F)8 (U BR BL)8 (U F R)8 (U BL L)7 U2 BL R2' BR' BL' R2 U' BL L R2' BR R2 5 checkerboard + 5 bowties shifted twice (simplified, 105 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' R2 U2 F U F2 U' F' R U F U2' R U2 R F2 U2 R2' F2' U2' F2 U2' ((L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (BL' L F2 L2' BL2' L2' U L BL U' BL' L BL2 L2' F' L' F' L' BL) (BR' BL L2 BL2' BR2' BL2' U BL BR U' BR' BL BR2 BL2' L' BL' L' BL' BR))' 5 checkerboard + 5 bowties shifted twice (90 moves) new approach combining 57 move and 33 move processes U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (BL' L F2 L2' BL2' L2' U L BL U' BL' L BL2 L2' F' L' F' L' BL) (BR' BL L2 BL2' BR2' BL2' U BL BR U' BR' BL BR2 BL2' L' BL' L' BL' BR) 5 checkerboard + 5 bowties shifted twice (simplified, 90 moves) F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2' [BR R F : U BR2 BL' U2' R' U R U BL BR U L U L' U2' BR2 U' ] L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' 5 checkerboard + 5 bowties shifted twice (new method, 81 moves) F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2' U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 checkerboard + 5 bowties shifted twice (improved, 77 moves) F2' L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2' U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 5 checkerboard + 5 bowties shifted twice (twsearch again, 76 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' R2 U2 F U F2 U' F' R U F U2' R U2 R F2 U2 R2' F2' U2' F2 U2' F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 5 checkerboard + 5 bowties shifted twice (improved 74 moves) BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U' F2' R2' F2' R2 F U2' F R' U' F2' R F2 U2 R U2' R' U F2' U F' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 5 checkerboard + 5 bowties shifted twice (tw iteration, 73 moves) BL U2 F U' F' U2' BL' U2 R F L' U2 L2 U2' L U F' R' U' L2' R2' U' F2' L2 F2 L2' U R2 U F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 5 checkerboard + 5 bowties shifted twice (tw again, 70 moves) U F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 U F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 5 checkerboard + 5 bowties shifted twice (68 moves) U2 L2' BL2 L BL2' BR2 U BL U' BL L BL' L' BL' BR2' BL2 L BL2' F2' U' L2' BL2 L2 BL2' U L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 5 checkerboard + 5 bowties shifted twice (65 moves) (L U L' U 3u')9 5 pentagons (36 moves) R U R' U' 3d' R U' R' U' 3d' R U R' U' 3d' R U' R' U' 3d' R U R' U' 3d' R U' R' U' 5 pentagons (24 moves, MadeToReply, notational adjustment) (R U R' U' 3d' R U' R' U' 3d')3 5 pentagons (24 moves, MadeToReply, simplified) (R U R' U' BR U' BR' U' 3u2)3 5 pentagons (24 moves, MadeToReply, less rotations) (R U R' U' BR U' BR' U') (BL U BL' U' L U' L' U') (F U F' U' R U' R' U') 5 pentagons (24 moves, MadeToReply, no rotations) (R U R' BR U2' BR' U' BL U2 BL' U2' L U' L' U') F U F' U' R U' R' U' 5 pentagons (23 moves, twsearch improved) R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U' 5 pentagons (22 moves, twsearch improved) R U R' F R2 BR' R2' U' BR BL U' L' BL' L U' F' U2' R U' R' U' 5 pentagons (21 moves, twsearch redo) (L U L' U 3u)8 5 pentagons shifted twice (32 moves) (L U L' U) (F U F' U) (R U R' U) (BR U BR' U) (BL U BL' U) (L U L' U) (F U F' U) (R U R' U) 5 pentagons shifted twice (expanded, 32 moves) (U' BR L U2' L' U' F U2' F' U' R U2' R' U2 BR')' (U' R BL U2' BL' U' L U2' L' U' F U2' F' U2 R')' 5 pentagons shifted twice (twsearch improved, 30 moves) (BR U2' R U2 R' U F U2 F' U L U2 L' BR' U) (R U2' F U2 F' U L U2 L' U BL U2 BL' R' U) 5 pentagons shifted twice (simplified, 30 moves) L U L' U2 BR U' BR' U' R U2' F U F' U L U2 L' U BL U2 BL' R' U 5 pentagons shifted twice (twsearch improved again, 23 moves) L BR U2 BR' U R U2 L' U' F U2' F' U2 BL U2 BL' R' U 5 pentagons shifted twice (twsearch improved more, 18 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U 5 deltas (40 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' R2 U BL2' U L2 U2' R2' U2 BR2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U 5 deltas (twsearch improved, 38 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 BR2' U2 BL2 U2' F2' R2 U BL2' U L2 U2' L2' R2' BR2 F2 U2' BR2' U' BL2 U2' F2' U BL2' U 5 deltas (twsearch iteration, 35 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 BR2' U2 BL2 U2' F2' R2 U F2 U2' F2' U2 BL2' U L2 U2' L2' R2' BR2 U2 BR2' 5 deltas (twsearch redo, 31 moves) BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' BR2' R2 U BL2 U2' F2 U' BL2' U2' F2' U L2 U2' L2' R2' BR2 U2 BR2' 5 deltas (twsearch again, 28 moves) BR2 U2' BR2' R2 U2' L2 U2 L2' U BL2 U2' F2 BL2' U2 F2' U L2 U2' L2' R2' BR2 U2 BR2' 5 deltas (twsearch yet again, 23 moves) BR2 U2' BR2' R2 U' F2 U2 F2' L2 U' BL2 U L2' U2' L2 U BL2' L2' R2' BR2 U2 BR2' 5 deltas (condensed, 22 moves) BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR2' 5 deltas (recondensed, 21 moves) (L2 U2 L2' U2 3u')12 5 deltas shifted twice (L2 U2 L2' U2 3u)7 5 deltas shifted twice L2 U2 L2' U2 F2 U2 F2' U2 R2 U2 R2' U2 BR2 U2 BR2' U2 BL2 U2 BL2' U2 L2 U2 L2' U2 F2 U2 F2' U2 5 deltas shifted twice (expanded, 28 moves) U2 BR2 R2 U2 L2 U2' L2' R2' F2 U2' BR2' U2 F2' U' BL2 U2 BL2' U2 L2 U2 L2' U2 F2 U2 F2' U2 5 deltas shifted twice (twsearch improved, 26 moves) U2 BR2 R2 U2 L2 U2' L2' R2' L2 U2' L2' F2 U2' BR2' U' BL2 U2' F2' U BL2' U2 5 deltas shifted twice (twsearch improved again, 21 moves) (U L U L U2 L2' Uv')24 D 5 spot delta 710 type, 145 moves (Uv' L' U' L Uv2 L2 U2' L2')14 D' 5 spot delta 710 type, 85 moves (L' F2' BL U2' BR2 Uv')5 L' F2' BL U2' BR2 F2' L BL' L BL2' R' BR2' U' BR' U2' R BR2' R' U' BR U BL2 L' BL' L BL2' BR2' BL2 U' BR' U2' R BR2' R' U' BR U BL2 R L2' F2 D' 5 spot delta 710, new method, 67 moves (L' F2' BL U2' BR2 Uv')5 L' F2' BL U2' BR2 F2' R2' BR2' L2' U L2' U' BL2' L2 U' BL2 U BL2' L2' BL2 U L2 U2' L2 BR2 R2 F2 D' 5 spot delta 710, improvement, 53 moves (Uv' L' U' L Uv2 L2 U2' L2')7 D2 5 spot delta 710 shifted twice, 43 moves ((R2 L2 BR2 BL2 F2)7 R2)27 5 Y's plus 5 cups F' BL2 L2 E BR E' U2 C' F2 C E' R E BR' BF BL' BF' BL2 BR2 U2 BR2' U2 BL' BF' BR2 BF BR2 BL BR2' BL BR U2' BL2 U2 BR' F2 L U' F2 BL2' L2 A F2' A' L2' F' U' F' L' BL L F2 U2' BL2 U2 F U' F' BL U' BL2 L2' BL2' U L2' BL' L2 BL L I L' I' L BL L' BL2 BF BL I BL I' BL2' BF2' BL2' BR' BL2 L BL' BR BL BF L' 5 Y's plus 5 cups (rokicki conventional solver + twsearch, 92 moves) F BL2' L U F' E BR E' U2 C' F2 C E' R E BR U BR2 U' BR' BL2' U R' F' R BR' L2 F2' U2' F2 A F2 A' L2' F' U' F L' F2' U BL' U' F2 BL U2' BL U2 L U2' L2 F U' F' U' BL U' L U BL2 L2' BL2' U L BL2 L2 U' L U I L I' L' I' BL2' I BL' BF' BL2' BR' BL2 BR BF 5 Y's plus 5 cups (rokicki conventional, 82 moves) (R2 L2 BR2 BL2 F2 3u R2' L2' BR2' BL2' F2')24 5 wedges (R2 L2 BR2 BL2 F2 3u R2' L2' BR2' BL2' F2' 3u)18 5 wedges improved (R2 L2 BR2 BL2 F2 3u R2' L2' BR2' BL2' F2' 3u)9 5 wedges shifted twice (R2 L2 BL2 BR2 BL2' BR2' R2' L2' Uv2')9 5 wedges shifted twice, 72 moves F2 L2 BL2 BR2 BL2 L2' F2' R2 F2 R2 BL2' BR2' R2' L2 F2' L2' BL2' L2 BL2 BR2 BL2' BR2' R2' BR2 R2 F2 R2' F2' L2' BL2' BR2' F2 R2' BL2 L2 F2 R2 BL2 BR2 F R2 L2' F' BR2 BL2' BR2' R2 BR2' R2' F R2' 5 wedges shifted twice, tw improvement, 51 moves F2 L2 BL2 BR2 L' BL2 R2 BR2' BL2' L2' F L2' F' BL2' BR2' R2' F BR2 BL' L2' F2 L2' BR2 BL L2 BL2' R2 F2 R2' BR2' BL2 R2' L2 F2 R2 BL2 BR2 F R2 L2' F' BR2 BL2' BR2' R2 BR2' R2' F R2' 5 wedges shifted twice, tw iteration, 49 moves ((2L' 2F2 2E 2F2)9 3f')9 10 tridents algorithmic method (648 moves) ((L2 E2' U D' L2' E2 U D')7 3u')9 10 tridents (504 moves) ((L2 E2' U2 D2' L2' E2 U2 D2')7 3u2)8 10 tridents improved (448 moves) ((L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u')3 3c2 (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2')' 3c2' 3e' (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') 3e)2 10 tridents (170 moves) ((L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u')3 3c2 (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2')' 3c2')2 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 10 tridents (refactored, 156 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u')6 3l U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F 3l' 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 10 tridents (refactored, 142 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) 3l U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F 3l' 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 10 tridents (new approach, 66 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2') (U' R2 U2 R2' BR2' R2 BR2 U' BR2' R2' BR2 R2 U' R2 BR BL BR BL)' 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 10 tridents (twsearch improved, 65 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2') BL' BR' BL' BR' R2' U R2' BR2' R2 BR2 U BR2' R2' BR2 R2 U2' R2' U 3c2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)' 3c2' 10 tridents (simplified, 65 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2') BL' BR' BL' BR' R2' U R2' BR2' R2 BR2 U BR2' R2' BR2 R2 U2' R2' U 3c2 (F' U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2') 3c2' 10 tridents (simplified again, 65 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2') BL' BR' BL' BR' R2' U R2' BR2' R2 BR2 U BR2' R2' BR2 R2 U2' R2' U D' I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' 10 tridents (simplified more, 65 moves) ((L2 E2' U2 D2' L2' E2 U2 D2')7 3u)7 10 tridents shifted twice (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u')3 3c2 (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2')' 3c2' 3e' (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') 3e 10 tridents shifted twice (new approach, 85 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L Uv')3 Cv2 D2 BF2' D2' E2' BF' E2 BF' D2 BF' D2' E2' BF2' E2 BF2' Cv2' Ev' (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') Ev 10 tridents shifted twice (simplified, 85 moves) F2 R' BR R' BR2 L BL2 BR' U BL U2 L' BL2 L U BL' U' BR2' L' R2 F L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 Cv2 D2 BF2' D2' E2' BF' E2 BF' D2 BF' D2' E2' BF2' E2 BF2' Cv2' Ev' (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') Ev 10 tridents shifted twice (different method, 69 moves) (R2' F2' U' R' U R F' R' F U F' U' R F2' R2 3u)4 10 bowties, rokicki (60 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u2)2 10 bowties, twsearch improvement (38 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (R' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R) 10 bowties, expanded, 38 moves) R F' L' F' L' F2' R2 F R' U' R F U F2' R2' F2' L2 F R2' BR BL2 BR2' R2' BR2' U BR R U' R' BR R2 BR2' BL' BR' BL' BR' R 10 bowties, twsearch iteration, 37 moves) (R2' F2' U' R' U R F' R' F U F' U' R F2' R2 3u2')6 10 bowties shifted twice, rokicki modified (90 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L 3u')3 10 bowties shifted twice, twsearch improvement (57 moves) (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (BL' L F2 L2' BL2' L2' U L BL U' BL' L BL2 L2' F' L' F' L' BL) (BR' BL L2 BL2' BR2' BL2' U BL BR U' BR' BL BR2 BL2' L' BL' L' BL' BR) 10 bowties shifted twice, expanded (57 moves) L' BL' BR' R' (F2 R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2') R BR BL L (F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2) 10 bowties shifted twice, new method using 10 pinwheels (52 moves) F2' R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2' 10 bowties shifted twice, pinwheels + central reflect (44 moves) F2' L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2 10 bowties shifted twice, twsearch improved (43 moves) F2' L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 BF2 E2' I C2 D A D' I' A2' I D2' A' D' C A2' I' C2' E C' E BF2' 10 bowties shifted twice, central reflect (42 moves) F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F2 F2 R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 10 bowties shifted twice, RL reflect (42 moves) F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' 10 bowties shifted twice (simplified, 41 moves) (2U F 2U BF')168 10 spot (experiment, idea from 3x3x3) (2L 3u')36 10 spot (L E' 3u')36 10 spot (72 moves) (L E' BL C' BR A' R I' F BF' L E' BL C' BR A' R I' F BF' L E' BL C' 3u2')3 10 spot (72 moves) (L E' BL C' BR A' R I' F BF')7 L E' 10 spot (2F 2D 2F' 2D')9 10 spot (each slice move counts as two moves, 72 moves) [2U , 2L ]9 10 spot (restated as a commutator) (F' BF 3f U D' 3u' F BF' 3f' U' D 3u)9 10 spot (restated without using 2X moves, 72 moves) (F' BF L E' A BR' F' BF 3f 3u' 3f' 3u)9 10 spot (restated, 72 moves) (F' BF L E' A BR' F' BF 3l' 3u)9 10 spot (simplified, 72 moves) (F' BF L E' A BR' F' BF 3r)9 10 spot (simplified more, 72 moves) (L2 R2 I2' E2' 3u')84 10 spot (BL' R 3f')36 3f' 10 spot (L2 E2' U D' 3u')24 10 spot (96 moves) (3L 5u')36 small 10 spot (gigaminx) (3L 5u')36 5f2 (L E' 5u')36 10 rings (gigaminx) ((3L 5u')36 5f2 (L E' 5u')36 5f')2 12 rings (gigaminx) F2' R2' BR2' (L2' U2 L2' U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2) BR2 R2 F2 BR2 U2' BR2' R2 U' F2 U2' L2 U' BL2 U2 BL2' U' L2' U' F2' U' R2' BR2 U2 BR' R F (U2 BR' U2 L BL L' U2' L U' BL' L' BL U2 BL' U' BR U2') F' R' BR' U 3f2 3l BR R F U2 BR' U BL U2' BL' L BL U L' U2 L BL' L' U2' BR U2' F' R' BR' U' 10 spot (alternate method, 90 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) (L' F R F R F2 L2' F' L U L' F' U' F2 L2 F2 R2' F' L) (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U' 3e2 3f') (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U')' 3f 3e2' 10 spot (alt method, 10 bowties + 10 chevrons, 82 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) (L' F R F R F2 L2' F' L U L' F' U' F2 L2 F2) R2' F' R U R' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U' 3e2 3f') (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U')' 3f 3e2' 10 spot (twsearch iteration, 81 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U' 3e2 3f') (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U')' 3f 3e2' 10 spot (twsearch redo, 79 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U' 3e2 3f') (R U R' F R2 BR' R2' U' BR BL U' L' BL' L U' F' U2' R U' R' U')' 3e2 3f' 10 spot (last part improved, 78 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U' 3e2 3f') U R U R' U2 F U L' BL L U BL' BR' U R2 BR R2' F' R U' R' 3e2 3f' 10 spot (simplified, 78 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U') D BF D BF' D2 I D A' C A D C' E' D BF2 E BF2' I' BF D' BF' 10 spot (no rotations, 78 moves) (L E' 3u2')8 (BL' R' U2 BL R2 BR U' BL' U BR2' R' BR2 U' BR' U2' BR BL U' BR' U' BR2 BL L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U 3f2 3e' 3u2) (BL' R' U2 BL R2 BR U' BL' U BR2' R' BR2 U' BR' U2' BR BL U' BR' U' BR2 BL L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U)' (D2' BF BR2' BF' A L2' A' D2 A' D2 BF D2' BR2 A2 L2 A2' D2 BF' D2' A)' 10 spot (method #3, 120 moves) (L E' 3u2')8 (BL' R' U2 BL R2 BR U' BL' U BR2' R' BR2 U' BR' U2' BR BL U' BR' U' BR2 BL L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U 3f2 3e' 3u2) U' L' U2' L2 U L2 BL' U' BL U L U BR U' BL' BR' U BR2 BL2 L BL' BR2' U BR U BL' BR' U2 BR U BR2' R BR2 U' BL U BR' R2' BL' U2' R BL (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3 simplified, 120 moves) (L E' 3u2')8 BR' U2 BL2' BR2 BL BR2 U2' BR2 U BR2' U2' BR BL U2 BR2 U2 BL2' BR BL2' (L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U 3f2 3e' 3u2) U' L' U2' L2 U L2 BL' U' BL U L U BR U' BL' BR' U BR2 BL2 L BL' BR2' U BR U BL' BR' U2 BR U BR2' R BR2 U' BL U BR' R2' BL' U2' R BL (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3 improved, 117 moves) (L E' 3u2')8 BR' U2 BL2' BR2 BL BR2 U2' BR2 U BR2' U2' BR BL U2 BR2 U2 BL2' BR BL2' (L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U 3f2 3e' 3u2) (BR' U2 BL2' BR2 BL BR2 U2' BR2 U BR2' U2' BR BL U2 BR2 U2 BL2' BR BL2' L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U)' (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3, twsearch iteration, 114 moves) (L E' 3u2')8 BR' U2 BL2' BR2 BL BR2 U2' BR2 U BR2' U2' BR BL U2 BR2 U2 BL2' BR BL2' (L' BL2' BR2' U' BR BL U BR' U' L' U' BL' U BL L2' U' L2' U2 L U 3f2 3e' 3u2) U' L' U2' L2 U L2 BL' U' BL U L U BR U' BL' BR' U BR2 BL2 L BL2 BR' BL2 U2' BR2' U2' BL' BR' U2 BR2 U' BR2' U2 BR2' BL' BR2' BL2 U2' BR (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3 simplified, 114 moves) (L E' 3u2')8 (U2 BR2 BL' BR' U BL BR' U' BL' U' BL U' BL' U' BR' U BR U2 BL U2' 3f2 3e' 3u2) U2 BL' U2' BR' U' BR U BL U BL' U BL U BR BL' U' BR BL BR2' U2' (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3, twsearch redo, 76 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U2 BR2 BL' BR' U BL BR' U' BL' U' BL U' BL' U' BR' U BR U2 BL U2' 3f2 3e' 3u2) U2 BL' U2' BR' U' BR U BL U BL' U BL U BR BL' U' BR BL BR2' U2' (A' D2 BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) 10 spot (method #3 expanded, 76 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U BL' U' BR2 U2' BR' BL' U BR U' BR' U' BL2 BR U2' BR' BL' BR2' U' BR U2' 3f2 3e' 3u2) ( BF D2' A2 L2' A2' BR2' D2 BF' D2' A D2' A L2 A' BF BR2 BF' D2) U2 BL' U2' BR' U' BR U BL U BL' U BL U BR BL' U' BR BL BR2' U2' 10 spot (method #3, twsearch redress, 75 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U BL' U' BR2 U2' BR' BL' U BR U' BR' U' BL2 BR U2' BR' BL' BR2' U' BR U2' F U2' BL2 I2' BL2' U2 C2' F' U2' BL U2' BL I2 BL' F C2 F' U2 D2 A' D2' C' D' C D A D A' D A D C A' D' C A C2' D2') 10 spot (method #3, no rotations, 75 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U BL' U' BR2 U2' BR' BL' U BR U' BR' U' BL2 BR U2' BR' BL' BR2' U' BR U2' F U2' BL2 I2' BL2' U2 C2' F' U2' BL U2' BL I2 BL' F C2 F' U2 D2 A' D' E' D' E A D C' E' I D' E D C2 D C' I' D2') 10 spot (method #3, twsearch again, 74 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U BL' U' BR2 U2' BR' BL' U BR U' BR' U' BL2 BR BL I2' BL' U2' BR' BL' BR2' U' BR U2' F C2' F' U2' BL U2' BL I2 BL' F C2 F' U2 D2 A' D' E' D' E A D C' E' I D' E D C2 D C' I' D2') 10 spot (method #3, twsearch more, 72 moves) F BF' C' BL R I' E' L BR A' BF' F BL C' I' R (U BL' U' BR2 U2' BR' BL' U BR U' BR' U' BL2' I2' BL' BR U2' BR' BL' BR2' U' BR U2' F C2' F' U2' BL U2' BL I2 BL' F C2 F' U2 D2 A' D' E' D' E A D C' E' I D' E D C2 D C' I' D2') 10 spot (method #3, twsearch iteration, 71 moves) F2' C2' F2 A2 C2 F2' C2' A2' C2 R2 F2 C2' F2' C2 R2' A2 F2 A2' (L2 I2' R2 C2' BL2 BF2' F2 A2' BR2 E2')3 L2 I2' R2 C2' BL2 BF2' 10 spot (method #4, twsearch aided, 54 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 C2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' 10 spot (method #4, more twsearch, 52 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' 10 spot (method #4, human opt, 50 moves) (R D2 2F2')12 10 spot (A2 search of order 5, 48 moves) (R D2 F2 BF2' 3f2')12 10 spot (restated without slice moves, 48 moves) ( 2F 2L2' 2F 2BL 2R2' 2BR Fv2)4 10 spot (24 slice moves or 48 moves)) (2U' 2L2' 2U2 2BR2 2U2 2F2' 2BR 2BL' 2L2 2BL2' 2L2 2F)4 10 spot (48 slice moves with no rotations) ( 2F 2BR2 2F 2R' 2U2' 2BL) ( 2F 2R2' 2F 2L' 2BR2 2U' ) ( 2F 2L2' 2F 2BL 2R2' 2BR) ( 2F 2BL2 2F 2U' 2L2' 2R') 10 spot (24 slice moves with no rotations) 2U2' 2L2 2U2 2L 2U2' 2L2' 2U2' 2L 2U' 2L 2U2 2L2' 2U2' 2L2' 2U 2L' 2U 2L 2U2' 2L2' 2U' 2L' 2U 2L' 2U2' 2L2 2U2 2L2 2U' 2L 2U' 2L2' 2U2 2L2 10 spot (slice method, twsearch, 68 moves or 34 slice moves) (2L 2U 2F 2U' )84 10 spot (theory, we know < 2U, 2L, 2F > contains 10 spot [2L2, 2U2]18 10 spot (restated as a commutator, 72 slice moves) [2L, 2U]18 10 spot shifted twice (restated as a commutator, 72 slice moves) (L E' BL C' BR A' R I' F BF' 3u')18 10 spot shifted twice (L2 E3 3u)48 10 spot shifted twice (L E' F BF' 3u)48 10 spot shifted twice (L E' BL BR 3u)48 10 spot shifted twice (2BL2 2BR2)24 10 spot shifted twice (2L2 2R2 3u')18 10 spot shifted twice (L R E' I' 3u)168 10 spot shifted twice (L E' U2 D2' 3u')18 10 spot shifted twice (72 moves) (L E' U2 D2') (BL C' U2 D2') (BR A' U2 D2') (R I' U2 D2' 3u')15 10 spot shifted twice (partial expansion) ((L E' U2 D2') (BL C' U2 D2') (BR A' U2 D2') (R I' U2 D2') ( F BF' U2 D2'))3 (L E' U2 D2') (BL C' U2 D2') (BR A' U2 D2') 10 spot shifted twice (full expansion) (L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2')7 L2 E2' 10 spot shifted twice (72 moves) (L E' U2 3u')18 D2 I' D2 I D I2' D' I2' D2' I2 D2' I2' D' I2' D I 10 spot shifted twice (70 moves) (L E' U2 3u')18 C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 10 spot shifted twice (68 moves) (L E' U2 BL C' U2 BR A' U2 R I' U2 F BF' U2)3 L E' U2 BL C' U2 BR A' U2 3u2 C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 10 spot shifted twice (expanded, 68 moves) (L E' U2 BL C' U2 BR A' U2 R I' U2 F BF' U2)3 L E' U2 BL C' U2 BR A' U2 BF2 E2' C2' E2 BF' E2' C2 E2' C E' BF' E C' E' 10 spot shifted twice (no rotations, 68 moves) (L E' 3u')18 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 10 spot shifted twice (improvement, 64 moves) (L E' BL C' BR A' R I' F BF') (L E' BL C' BR A' R I' F BF' ) (L E' BL C' BR A' R I' F BF' ) L E' BL C' BR A' 3u2 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 10 spot shifted twice (expanded, 64 moves) (L E' BL C' BR A' R I' F BF') (L E' BL C' BR A' R I' F BF' ) (L E' BL C' BR A' R I' F BF' ) L E' BL C' BR A' F2' L2 BL2 L2' F L2 BL2' L2 BL' L F L' BL L BF2 E2' C2' E2 BF' E2' C2 E2' C E' BF' E C' E' 10 spot shifted twice (simplified, 64 moves) (L E' 3u')18 3u2' U2 R U R2' U' R2' U2' R2 U2' R2' U' R2' U R U2 R' E D E R D2 E R E' D2' E R' E2' D' E R' E2' 10 spot shifted twice (candidate, 68 moves) (L E' 3u')18 3u2' U2 R U R2' U' R2' U2' R2 U2' R2' U' R2' U E D E D2 R U2 E R E' D2' E R' E2' D' E R' E2' 10 spot shifted twice (candidate improved, 66 moves) U2 R U R2' U' R2' U2' R2 U2' R2' U' R2' U C' D' C' E2' R2' E2 R2' C D C' R2 E2' R2 E2 C2 R U2 I' (F BF' 3u')17 10 spot shifted twice (candidate redo, 65 moves) R U R' BR R BR' U' BL BR U' BL' L BL L' U L A' I' BF' E' F C' L A' 3u' (L A' 3u')12 3u2' C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 10 spot shifted twice (62 moves) R U R' BR R BR' U' BL BR U' BL' L BL L' U L (A' I' BF' E' F C') L A' BL I' (BR BF' 3u')6 BR 3u' BR 3u' BR 3u' BR 3u2' BF' BL I' D' I A' I' A D C' A' D C E' C' E D' E' 10 spot shifted twice (60 moves) R U R' BR R BR' U' BL BR U' BL' L BL L' U L (A' I' BF' E' F C') L A' BL I' (BR BF' 3u')6 BR R F L BF' BL I' D' I A' I' A D C' A' D C E' C' E D' E' 10 spot shifted twice (simplified, 60 moves) (2U 2L2 2U2' 3r 2U2 2L 2U' 3f')4 10 spot shifted twice (24 slice moves, 48 moves) (2L2 2F2)24 10 spot shifted twice (slice moves only, 48 slice moves, 96 moves) ((2L2 2R2) (2BL2 2F2) (2BR2 2L2) (2R2 2BL2) (2F2 2BR2))3 (2L2 2R2) (2BL2 2F2) (2BR2 2L2) 10 spot shifted twice (slice, 36 slice moves, 72 moves) (L3 E3' BL3 C3' BR3 A3' R3 I3' F3 BF3')10 F2 R2 BF2' I2' 10 spot shifted twice (2U' 2F2 2U' 2F2' 2U 2L2 2U2' 2L2')4 10 spot shifted twice (32 slice moves) L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' 3f2 3l BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U2 F R2 F2' R F2 U F R' F' R2' F 10 spot shifted twice, alternative method (85 moves) 5 spot shifted twice combined with 5 interior edge cycle L2 BR2 U R2 U2 R2' U2 L2' F2 U2' BR2' U' BL2 U2 BL2' U F R2' BR2' BL2' U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' L2 BL2 BR2 R2 F R2 F R F' U' F2' R' F2 R2' F' U2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' E D2 A D' A' D2' E' C2 D2 A2' D2' C2' D2 A I2 A2' I A2 D A I' A' I2' A 10 spot shifted twice, no rotations (85 moves) ((L E' U2 D2') (R I' U2' D2) 3u')6 10 spot + 16 flip (48 moves) (L E' 3u2')56 = 10 spot shifted twice + 4 twist (L2 E2' R2 I2' 3d)9 almost 10 spot (L2 E2' 3d2')18 almost 10 spot ((L E' 3u4)12 3u2)24 10 thunderbirds shifted twice (L E' R I' L' E R' I 3u2)18 10 distended pentagons (L2 E2' R' I L2' E2 R I' 3u)16 10 distended pentagons (L E' R I' L' E R' I 3u)16 10 distended pentagons (128 moves) ((L E' R I' L' E R' I) (F BF' BR A' F' BF BR' A) (R I' BL C' R' I BL' C) (BR A' L E' BR' A L' E) (BL C' F BF' BL' C F' BF))3 (L E' R I' L' E R' I) 10 distended pentagons (no rotations, 128 moves) (R' BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R) L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U') D BF D BF' D2 I D A' C A D C' E' D BF2 E BF2' I' BF D' BF' BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U 3f2 3e' (BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U)' 10 distended pentagons (106 moves) U R2 U R2' BR2' R2 BR2 U BR2' R2' BR2 R2 U2' R2 BR BL BR BL BR2 R2' BR' R U R' BR' U' BR2 R2 BR2 BL2' BR' R L' F R F2' U F2' R F2 L F' L2' U L' F' U' F L2 F2 R2' BR U2' BR' U' BL U2 BL' L2 U2 L' (U' F U2' F' U2 R U' R' U') D BF D BF' D2 I D A' C A D C' E' D BF2 E BF2' I' BF D' BF' 3f2 3e' (BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U)' 10 distended pentagons (105 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U 3f2 3e' U' BL2 U2 BL2' L2' BL2 L2 U' L2' BL2' L2 BL2 U' BL2' 10 distended pentagons (78 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U D' E2 D2 E2' C2' E2 C2 D' C2' E2' C2 E2 D' E2' 10 distended pentagons (no rotations, 78 moves) E2 D2 E2' C2' F2' E2 C2 D' C2' E2' C2 E2 D' E2' D' R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U 10 distended pentagons (twsearch, 76 moves) E2 D2 E2' C2' F2' E2 C2 D' C2' E2' C2 E2 D' E2' D' R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL' U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U BF2' 10 distended pentagons (tw t3600, 75 moves) (L2 E2' R I' L2' E2 R' I 3u)42 10 distended pentagons shifted twice (L2 E2' R I' L2' E2 R' I 3u2)24 10 distended pentagons shifted twice (BL' R 3f')36 3u' (BL' R 3f')36 12 spot (rotate centres about a corner, 144 moves) ((L E' BL C' BR A' R I' F BF')7 L E') (A BR' I R' BL C' U D' F BF')7 A BR' 12 spot (rotate centres about a corner, no rotations, 144 moves) ((R I' F BF' L E' BL C' BR A')6 R I' F BF' L E' BL C' I R' BL C' U D' F BF') (A BR' I R' BL C' U D' F BF')6 A BR' BL' C 12 spot (rotate centres about a corner, 140 moves) ((L E' 3u')18 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 3l2)2 12 spot (rotate centres about a corner, 128 moves) D BL2' BF2' BR' BF2 E D BF2 I' BF2' A2' C2' E BR2' E2 D2' A D C' D2 C2 D' R2 E2' C2 E2 U2' L2 A2 F A' F' L F A2' C F C' A' F2 L' F2' A F2 U2 R2' F2' E' R' E BR F2 BR2 U' BR2' BF' BR' BF L2' BR U2 BR BL L' BL' BR2' F2' BL' L2 F L' BL L F2 L2' U' BL2 U2 L U2' L' F U2' F' L2 U' BL' U L2 BL2 L2 BL U' L2 U L2 BL2' L2' A' I' BL2 I A I L' I' L BL2 BR' BL' U' BL U BR U BR BF BR' U' BR BF' BR' 12 spot (rokicki conventional, corner, 122 moves) D BL2' BF2' BR' BF2 E D BF2 I' BF2' A2' C2' E BR2' E2 D2' A D C' D2 C2 D' R2 E2' C2 E2 U2' L2 A2 F A' F' L F A2' C F C' A' F2 L' F2' A F2 U2 R2' F2' E' R' E BR F2 BR2 U' BR2' BF' BR' BF L2' BR U2 BR BL L' BL' BR2' F2' BL' L2 F L' BL L F2 L2' U' BL2 U2 L U2' L' F U2' F' L2 U' BL' U L2 BL2 L2 BL U' L2 U L2 BL2' L2' A' I' BL2 I A I L' I' L BL BF' BL' BR' BF' BL U' BL' BF BL U BR BF BL 12 spot (rokicki improved, corner, 121 moves) D BL2' BF2' BR' BF2 E D BF2 I' BF2' A2' C2' E BR2' E2 D2' A D C' D2 C2 D' R2 E2' C2 E2 U2' L2 A2 F A' F' L F A2' F2 A' L' F' A F2 U2 R2' F2' E' R' E BR F2 BR2 U' BR2' BF' BR' BF L2' BR U2 BR BL L' BL' BR2' F2' BL' L2 F L' BL L F2 L2' U' BL2 U2 L U2' L' F U2' F' L2 U' BL' U L2 BL2 L2 BL U' L2 U L2 BL2' L2' A' I' BL2 I A I L' I' L BL BF' BL' BR' BF' BL U' BL' BF BL U BR BF BL 12 spot (twsearch improved, corner, 118 moves) D BL2' BF2' BR' BF2 E D BF2 I' BF2' A2' C2' E BR2' E2 D2' A D C' D2 C2 D' R2 E2' C2 E2 U2' L2 A2 F A' F' L F A2' F2 A' L' F' A F2 U2 R2' F2' E' R' E BR F2 BR2 U' L2' BR2' U2 BF' BR BL L' F2' BL' BR2' BF BL' L2 F L' BL L F2 L2' U' BL2 U2 L U2' L' F U2' F' L2 U' BL' U L2 BL2 L2 BL U' L2 U L2 BL2' L2' A' I' BL2 I A I L' I' L BL BF' BL' BR' BF' BL U' BL' BF BL U BR BF BL 12 spot (twsearch redo, corner, 116 moves) F2' C2' F2 A2 C2 F2' C2' A2' C2 R2 F2 C2' F2' C2 R2' A2 F2 A2' (L2 I2' R2 C2' BL2 BF2' F2 A2' BR2 E2')3 L2 I2' R2 C2' BL2 BF2' 3f F2' C2' F2 A2 C2 F2' C2' A2' C2 R2 F2 C2' F2' C2 R2' A2 F2 A2' (L2 I2' R2 C2' BL2 BF2' F2 A2' BR2 E2')3 L2 I2' R2 C2' BL2 BF2' 12 spot (new approach, corner, 108 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' R2' F2' R2 U2 F2 R2' F2' U2' F2 C2 R2 F2' R2' F2 C2' U2 A2 3f I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' 12 spot (improved, corner, 100 moves) C2' F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' R2' F2' R2 U2 F2 R2' F2' U2' F2 C2 R2 F2' R2' F2 C2' U2 A2 D2' I2 BF2' F2 C2' BL2 BR2' (U2 A2 D2' R2' I2 BF2' F2 C2' BL2 BR2')2 A2 D2' U2 R2' I2 BF2' 12 spot (no rotations, corner, 100 moves) F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' 3r' R2' F2' R2 U2 F2 R2' F2' U2' F2 C2 R2 F2' R2' F2 C2' U2 A2 D2' I2 BF2' F2 C2' BL2 BR2' (U2 A2 D2' R2' I2 BF2' F2 C2' BL2 BR2')2 A2 D2' U2 R2' I2 BF 12 spot (simplified, corner, 99 moves) F2' C2 R2 F2 C2' F2' R2' F2 A2 C2 F2' C2' F2 A2' R2 L2 I2' BL2 BF2' F2 A2' BR2 E2' (R2 L2 I2' C2' BL2 BF2' F2 A2' BR2 E2')2 L2 I2' R2 C2' BL2 BF2' R2' U2' R2 BR2 U2 R2' U2' BR2' U2 F2 R2 U2' R2' U2 F2' BR2 L2 A2' I2 D2' U2 F2' BF2 E2' (BR2 L2 A2' R2' I2 D2' U2 F2' BF2 E2')2 L2 A2' BR2 R2' I2 D 12 spot (no rotations, corner, 99 moves) (2L 2R 2L' 2R')9 (2U 2L 2U' 2L')9' 12 spot (all slice moves, corner, 144 moves) (2U 2L 2U' 2L')9 (2R 2U 2R' 2U')9 12 spot (simplified, corner, 144 moves) (2U 2L 2U' 2L')9 (2L' 2U' 2L 2U)9 12 spot (only 2U & 2L, corner, 144 moves) 2F 2U' 2F 2U2' 2F2' 2U2' 2F2 2U 2F' 2U 2F 2U2 2F2 2U' 2F' 2U 2F' 2U2 2F2 2U2 2F2' 2U' 2F 2U' 2F2 2U2 2F2 2U' 2F2' 2U2' 2F2 2U2' 2F2' 2U' 2F2' 2U' 2F 2U' 2F2 2U2 2F2 2U' 2F2' 2U2' 2F2 2U2' 2F2' 2U2 2F 2U' 2F 2U2' 2F2' 2U2' 2F2 2U 2F' 2U 2F 2U2 2F2 2U' 2F' 2U 2F' 2U2 2F2 12 spot (corner, 67 slices, 134 moves) 2U' 2F 2U2' 2F2' 2U2' 2F2 2U 2F' 2U 2F 2U2 2F2 2U' 2F' 2U 2F' 2U2 2F2 2U2 2F2' 2U' 2F 2U' 2F2 2U2 2F2 2U' 2F2' 2U2' 2F2 2U2' 2F2' 2U' 2F2' 2U' 2F 2U' 2F2 2U2 2F2 2U' 2F2' 2U2' 2F2 2U2' 2F2' 2U2 2F 2U' 2F 2U2' 2F2' 2U2' 2F2 2U 2F' 2U 2F 2U2 2F2 2U' 2F' 2U 2F' 2U2 2F2' 12 spot (corner, 66 slices, 132 moves) 2F2 2U2 2F2 2U' 2F 2U' 2F2' 2U2 2F2 2U2 2F' 2U 2F' 2U' 2F2 2U2 2F 2U 2F' 2U 2F2 2U2' 2F2' 2U2' 2F 2U' 2F 2U2 2F2' 2U2 2F 2U' 2F2 2U2 2F2 2U' 2F2' 2U2' 2F2 2U2' 2F2' 2U2 2F 2U' 2F 2U2' 2F2' 2U2' 2F2 2U 2F' 2U 2F 2U2 2F2 2U' 2F' 2U 2F' 2U 12 spot (corner, 60 slices, 120 moves) (2L' 2U' 2L2' 2U2' 2L2' 2U2' 2L2 2U 2L' 2U 2L' 2U)4 12 spot (corner, 48 slices, 96 moves) (2U 2L2' 2U2 2L2 2U2 2BR2' 2F 2BR)4 12 spot (corner, 32 slices, 64 moves) (U' D BL C' F BF' BR2 A2' I' R U2' D2 A BR' 3c2 3u2)4 12 spot (corner, 56 moves, twsearch slice + U,D) (U' D BL C' F BF' BR2 A2' I' R U2' D2 A BR' I' R D U' L E' BF2 F2' C' BL I2' R2 F BF' C' BL R I' A BR' E2 L2' U' D C2' BL2 L E') (U' D BL C' F BF' BR2 A2' I' R U2' D2 A BR') 12 spot (corner, 56 moves, no rotations) (R' I A2 BR2' BF F' R2' I2 L' E U' D 3u' 3l')4 12 spot (corner, 48 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D 12 spot (corner, 48 moves, no rotations) (2R 2L2' 2R' 2BL2 2R 2BR Uv')4 12 spot (corner, 24 slice moves) (2U 2R 2U' 2L')28 12 spot (experimental, 224 moves) (2L 2U 2L' 2U)91 12 spot (experimental) (2L2 2U' 2L2' 2U)40 12 spot (corner, experimental) [2L2 , 2U']40 12 spot (corner, order 3, restated as a commutator) ((2R Uv')18 (2L Uv')18)2 12 spot (corner order 3, 72 slice moves) (2R2' 2F2 2R' 2F2' 2L2' D U' 2L2)4 12 spot order 3 + 2 twist (cherries + 6 spot, 56 moves) ((L E' U2 D2' 3u')18 3c2) (L E' 3u')36 12 spot (rotate centres about an edge, 144 moves) (L E' 3u')18 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 3f2 (L E' 3u')36 12 spot (rotate centres about an edge, 136 moves) (L E' 3u')18 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' (L E' 3i')36 12 spot (rotate centres edge simplified, 136 moves) (L E' 3u')18 BL2' BR2 R2 BR2' BL BR2 R2' BR2 R' BR BL BR' R BR C2 A2' I2' A2 C' A2' I2 A2' I A' C' A I' A' 3f F2' C2' F2 A2 C2 F2' C2' A2' C2 R2 F2 C2' F2' C2 R2' A2 F2 A2' (L2 I2' R2 C2' BL2 BF2' F2 A2' BR2 E2')3 L2 I2' R2 C2' BL2 BF2' 12 spot (rotate centres edge, new approach, 118 moves) (2L2 2R2) (2BL2 2F2) (2BR2 2L2) (2R2 2BL2) (2F2 2BR2) (2L2 2R2) (2BL2 2F2) (2BR2 2L2) (2R2 2BL2) (2F2 2BR2) (2L2 2R2) (2BL2 2F2) (2BR2 2L2) (2R2 2BL2) (2F2 2BR2)(2L2 2R2) (2BL2 2F2) (2BR2 2L2) 3f2' 2U2' 2L2 2U2 2L 2U2' 2L2' 2U2' 2L 2U' 2L 2U2 2L2' 2U2' 2L2' 2U 2L' 2U 2L 2U2' 2L2' 2U' 2L' 2U 2L' 2U2' 2L2 2U2 2L2 2U' 2L 2U' 2L2' 2U2 2L2 12 spot (rotate edge, slice only, 70 slice, 140 moves) (2L2 2F R')273 12 spot (rotate edge, slice + face) (2L' 2U2' 2L2' 2U2 2L' 2U2 2L2' 2U2')7 12 spot (rotate edge, two slice ops, 56 slice moves, 112 moves) (2R' 2L2' 2R 2L2 2R' 2L2' 2F2' 2L')5 12 spot (rotate edge, 3 slice ops, 40 slice moves, 80 moves) ([2R' , 2L2'] 2R' 2L2' 2F2' 2L')5 12 spot (rotate edge, restated using a commutator) ([2F2 , 2L] [2BL' : 2L'])7 12 spot (rotate edge, restated using a commutator and conjugate repeated) (U' D R' I F' BF U2' D2 F' BF BL' C BR2 A2' 3c2 3f)5 12 spot (rotate edge, 3 slice ops + rotations, 35 slice moves, 70 moves) (U' D R' I F' BF U2' D2 F' BF BL' C BR2 A2' BF' F I' R D' U BF2' F2 D' U BR' A BL2 C2')2 U' D R' I F' BF U2' D2 F' BF BL' C BR2 A2' 12 spot (rotate edge, no rotations, 70 moves) (U F2' A2 L A U BL2' 3r 3f2)9 12 spot (rotate edge, 63 moves) (U F2' A2 L A U BL2' D C2' R2 E R D BF2')4 (U F2' A2 L A U BL2') 12 spot (rotate edge, no rotations, 63 moves) ((2L Dv)18 Rv Cv2')9 12 spot order 2 (rotate edge, 162 slice moves) ((2U2 2L2)12 Uv2)5 12 spot order 2 (rotate edge, 120 slice moves) (L E' BL C' BR A' R I' F BF')7 3f (L E' BL C' BR A' R I' F BF')7 L E' U D' 12 spot (L E' 3u' U D' 3a)80 12 spot ((L E' U2 D2' R I' U2' D2 3u')6 3e)5 12 spot (240 moves) ((L E' U2 D2' R I' U2' D2 3u')6 3br 3u2)4 12 spot (rotate centres about a corner, 192 moves) (L E' U D' 3u' 3a)16 12 spot candidate (64 moves) (2U2 F BF U2 D2 F' BF' 2BL 2BR2)21 12 spot + arms (twsearch A2) (2U 2F 2U' 2F' 3u 2U2 2F2 2U2' 2F2 3r2')4 12 spot + 20 twist (twsearch A2) (U D BL C D2 U2' R' I' 3f2' 3u)20 R BR2 U' L' U BR2' R' BR U' L U BR' R2 E2 3f2 3e' (R BR2 U' L' U BR2' R' BR U' L U BR')' BL3 I3 3l BL2 BR U' L' U BR' R BR2 U' L U BR2' R' BL2' 6 spot + 2 clump (a lot of messing around) (U D BL C D2 U2' R' I' 3f2' 3u)20 R BR2 U' L' U BR2' R' BR U' L U BR' R2 E2 3f2 3e' BL' U R U' BL L' BL2' U R' U' BL2 L BL3 I3 3l BL U R U' BL L' BL2' U R' U' BL2 L BL2' 6 spot + 2 clump (tw improvement) (U D BL C D2 U2' R' I' 3f2' 3u)20 R BR2 U' L' U BR2' R' BR U' L U BR' R2 E2 3f2 3e' BL' U R U' BL L' BL2' U R' U' BL2 L BL3 I' BL BR BL' I L' I2' BL BR' BL' I2 L I2' 3l 6 spot + 2 clump (simplified) (U D BL C D2 U2' R' I' 3f2' 3u)20 R BR2 U' L' U BR2' R' BR U' L U BR' R2 E2 3f2 3e' BL BR' R' BR BL2 I' BL2 BR' R BR BL2' I' 3l 6 spot + 2 clump (tw improvement) (U D BL C D2 U2' R' I' 3f2' 3u)20 R BR2 U' L' U BR2' R' BR U' L U BR' R2 E2' BF' I' BF E2 R' E2 BF' I BF E2' R' 3f2 6 spot + 2 clump (simplified) (U D BL C D2 U2' R' I' 3f2' 3u)20 U2 BR U2 BR BF2' BR' U2' BR BF2 BR BF2 BR2 U2' BR2' BF2' BR2 3f2 6 spot + 2 clump (tw using less faces, 176 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D Uv Fv3 U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv U' BR U BR' U' BL' R' U' BR' U BR BL R U Uv Rv2 Uv4 BR2' F2 L' U2 BR2' BF' BR E2' BR U2' BR' E2 BR' BF BR2 L F2' BR2 Fv2 6 spot + 2 clump (new method, 94 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D Uv Fv3 U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv BR R BL U BR U' BR' R' BL' BR' U' BR U BR2 Iv2 Uv2' U F2' U' BR2' BF BR2' U F2 U' BR2 BF' BR' Fv2 6 spot + 2 clump (tw improvement, 88 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D Uv Fv3 U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv BR R BL U BR U' BR' R' BL' BR E D2' E' BR2' U' BR U2 BR2' Iv2 Uv2' U F2 U' BR2 BF' BR' Fv2 Uv' 6 spot + 2 clump (tw again, 86 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D Uv Fv3 U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv BR R BL U BR U' BR' R' BL' BR E D2' E' BR2' U' BR U2 BR2' E D2 E' BR2 U' BR' 6 spot + 2 clump (less rotations, 86 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D Uv Fv3 U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv D2 E2 BR' R BR' E BR E2' R E R' BR R' E2' D2' 6 spot + 2 clump (tw redo, 77 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' E U' D2 E' D' E D C Uv Fv3 BL BR U BR' U' R' BL' BR BF2 D' I D' BF D BF2' I BF I' D I' BF2' BR2' 6 spot + 2 clump (reshuffle, 75 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' U' E D2 E' D' E D C BF D E D' E' C' BF' D I2 L' BL L' I L I2' BL I BL' L BL' I2' D2' 6 spot + 2 clump (no rotations, 75 moves) R' I A2 BR2' BF F' R2' I2 L' E U' D A' BR BF2 F2' R I' A2' BR2 BL' C L' E BF' F R2 I2' A BR' BF2' F2 U' D BL' C R' I A2 BR2' BF F' R2' I2 L' U' D C' E' D' E D C D' E I2' L' BL L' I L I2' BL I BL' L BL' I2 D C D' C' D 6 spot + 2 clump (tw iteration, 73 moves) (E L2' BL2' BF' E' BF BL2 BF' E BF L2 E' C BL2' BR2' E' C' E BR2 E' C E BL2 C') 3f2 3e' (E L2' BL2' BF' E' BF BL2 BF' E BF L2 E' C BL2' BR2' E' C' E BR2 E' C E BL2 C')' 10 corner shifted twice (perfredlund, 48 moves) ((E L2' BL2' BF' E' BF BL2 BF' E BF L2 E' C BL2' BR2' E' C' E BR2 E' C E BL2 C') 3f2 3e' (E L2' BL2' BF' E' BF BL2 BF' E BF L2 E' C BL2' BR2' E' C' E BR2 E' C E BL2 C')' 3l)12 10 stars (alternate method) ((L E' U D' 3u' 3a)16 3br')4 snake pattern ((L E' U D' 3u' 3a)16 3a)2 snake pattern improvement (128 moves) (L E' 3u' U D' 3a BL C' 3f')108 10 chevrons (L E' U D' L' E U D 3u')108 10 chevrons (L E' U D' L' E U D' 3u')54 10 chevrons (L E' U D' L' E 3u2')108 10 chevrons (L E' U D' L' E U D' 3u')9 10 chevrons (L E' U' D L' E U D' 3u2)8 10 chevrons (64 moves) R U R' 2d' R U' R' 2d' R U R' 2d' R U' R' 2d' R U R' 2d' R U' R' U' 3e2 3f' R U R' 2d R U' R' 2d R U R' 2d R U' R' 2d R U R' 2d R U' R' U 10 chevrons (MadeToReply speedcubing.com in 2013, 48 moves) ((R U R' U' 3d' R U' R' U' 3d')3 3e2 3f') (3d U R U R' 3d U R U' R')3 3e2 3f' 10 chevrons (MadeToReply, simplified, 48 moves) (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U' 3e2 3f') (R U R' BR U2' BR' U' BL U2 BL' L U2 L' U' F U2' F' U2 R U' R' U')' 3f 3e2' 10 chevrons (twsearch improved, 44 moves) (R U R' F R2 BR' R2' U' BR BL U' L' BL' L U' F' U2' R U' R' U' 3e2 3f') (R U R' F R2 BR' R2' U' BR BL U' L' BL' L U' F' U2' R U' R' U')' 3e2 3f' 10 chevrons (twsearch iteration, 42 moves) (R U R' F R2 BR' R2' U' BR BL U' L' BL' L U' F' U2' R U' R' U' 3e2 3f') U R U R' U2 F U L' BL L U BL' BR' U R2 BR R2' F' R U' R' 3e2 3f' 10 chevrons (simplified, 42 moves) R U BR' R2' F' U L U' F2 U F' R L' U' R BR U' R' U I D BF' I' D C I' A D' A2' D C' D' A I2 BF D' I' D' 10 chevrons (new method, no rotations, 38 moves) L F' U' R' F' L' BR' U2 BR U2' F' L F2 U R F L' U C A' I' D' A2' C' A D2 BF' D2' BF C A I D A C' D' 10 chevrons (twsearch again, 36 moves) (L E' U2 D2' L' E U2 D2' 3u')12 10 chevrons shifted twice (L E' U D' L' E U2 D2' 3u2')9 10 chevrons shifted twice (L E' U D' L' E U D' 3u)8 10 chevrons shifted twice (64 moves) (L BR U2 BR' U R U2 L' U' F U2' F' U2 BL U2 BL' R' U 3e2 3f') (L BR U2 BR' U R U2 L' U' F U2' F' U2 BL U2 BL' R' U)' 10 chevrons shifted twice (36 moves, twsearch improved) ((2L BLv')18 Fv2)9 mickey mouse pattern, similar to 10 checkerboard (L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' L2 E2' R2 I2' BL2 C2')36 10 checkerboard (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3l')24 3f 10 checkerboard, an experiment (504 moves) ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F) (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF') 3r2' 3f2')48 10 checkerboard using two 5 cycles ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F) (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF') 3r2)48 3f' 10 checkerboard using two 5 cycles ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)2 (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF')2 3r2)18 3f' 10 checkerboard using two 5 cycles ((F2' L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2) (BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') 3r2')18 3f' 10 checkerboard using two 5 cycles (504 moves) ((U L F)8 (D' E' BF')8 3u)24 10 checkerboard (experimental system, 1152 moves) ((L E' 3u')18 3f')9 3r 10 checkerboard (324 moves) ((((2L 2BL 2BR 2R 2F)3 2L 2BL 2BR)) 3u2 3l)9 10 checkerboard (alternate method) (I BF2 I2' A' I2' BF2 I BF' D' BF I D I2' BF2' I2' A I BF2' I' 3u3)2 (R' F2' R2 BR R2 F2' R' F U F' R' U' R2 F2 R2 BR' R' F2 R 3u3)2 ( U' F2 U2 F2' R2' F2 R2 U' R2' F2' R2 F2 U' F2') ( D BF2' D2' BF2 I2 BF2' I2' D I2 BF2 I2' BF2' D BF2) 10 checkerboard without (many) whole puzzle rotations tom rokicki, twsearch, modified a bit, 104 moves (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u2')2 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u2)2 3r 3f2 10 checkerboard tom rokicki, twsearch, 84 moves ((BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2) 3u 3r2 3f)2 10 checkerboard, rokicki, refactored, 84 moves (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') (BF2' D BF2 D' E2 C2 D BF2 D' E2 C2 D E2' BF2' D' C2' D E2' BF D' BF2) (C2' D C2 D' A2 I2 D C2 D' A2 I2 D A2' C2' D' I2' D A2' C D' C2) 10 checkerboard, rokicki adjusted, 84 moves (4 segments of 21 moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') BF2 I2 A2 E2 D' E2 D C2 E2' D C2' D' C2 E2 C2' D' E2' D2 E2' A2' I2' BF2' E2 D E2' C2' E2 C2 D C2' E2' C2 E2 D2' E2' D BF I A D2 BF' D2 C E C' D2' C D' E' C' E D2 E' D' BF D2' A' I' BF' 10 checkerboard, method #2, 101 moves (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') BF2 I2 A2 E2 D' E2 D C2 E2' D C2' D' C2 E2 C2' D' E2' D2 E2' A2' I2' BF' I D2 BF' D2 BF I' Fv2 Lv BR' U' R U2' R' BR R BR2' U' BR U' BL' L2' U' BL U L BR' BL' L U BL U BR2 U' R' BR' 10 checkerboard, method #2, 97 moves (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U L2 BL2 (R2 U2' R2 U BR2 R2' BR2' U BR2 U' R2 BR2' U' R2' U R2') BL2' L2' F2' Fv2 Ev' BR R U2 BR' U2 BR R' BR' U' R U2' R' BR R BR2' U' BR U' BL' L2' U' BL U L BR' BL' L U BL U BR2 U' R' BR' 10 checkerboard, simplified, 96 moves ((2L Uv')18 Lv)9 10 checkerboard (162 slice moves) ((2BL2' Uv')18 Fv)9 10 stars (162 slice moves) ((2L Uv')18 Uv)24 10 checkerboard, method #3, confirmed to only need 2L and Uv ((Uv2' 2L' Uv2' 2L')12 Rv')14 10 checkerboard (experimental) 2F2' 2L2 2BL 2F2' 2L2 2R2' 2F2' 2L2 2R' 2L2 2BL2' 2F' 2BL2' 2L2' 2R2' 2U2' 2L2' 2R2' 2BR2' 2F' 2BR2' 2R2 2L' 2R2 2F2' 2L2' 2R2 2F2' 2BR 2R2 2F2' Rv' ( 2F 2L2' 2F 2BL 2R2' 2BR Fv2)4 10 checkerboard (55 slice moves) ( 2F 2L2' 2F 2BL 2R2' 2BR Fv2)3 2F 2L2' 2F 2BL 2R2' 2BR2' Lv4 2L2 2BL 2F2' 2L2 2R2' 2F2' 2L2 2R' 2L2 2BL2' 2F' 2BL2' 2L2' 2R2' 2U2' 2L2' 2R2' 2BR2' 2F' 2BR2' 2R2 2L' 2R2 2F2' 2L2' 2R2 2F2' 2BR 2R2 2F2' 10 checkerboard (54 slice moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u)3 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u')3 3r 3f2 10 checkerboard shifted twice tom rokicki, modified, 126 moves (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (BL2 U' BL2' U BR2' R2' U' BL2' U BR2' R2' U' BR2 BL2 U R2 U' BR2 BL' U BL2') (L2 U' L2' U BL2' BR2' U' L2' U BL2' BR2' U' BL2 L2 U BR2 U' BL2 L' U L2') 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u')3 3r 3f2 10 checkerboard shifted twice tom rokicki, partially expanded, 126 moves BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' R2 U2 F U F2 U' F' R U F U2' R U2 R F2 U2 R2' F2' U2' F2 U2' 3f2 3e' U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' (L' F R2 F2' L2' F2' U F L U' L' F L2 F2' R' F' R' F' L) (BL' L F2 L2' BL2' L2' U L BL U' BL' L BL2 L2' F' L' F' L' BL) (BR' BL L2 BL2' BR2' BL2' U BL BR U' BR' BL BR2 BL2' L' BL' L' BL' BR) 10 checkerboard shifted twice, new method, 123 moves U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' F2' L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 BF2 I2 A2 C2 D2 E2 C2 D C2' D E2' D E2 C2 D2 C2' D2 E2' C2' A2' I2' BF2' E D2 A D' A' D2' E' C2 D2 A2' D2' C2' I2 D2 A D A2 D' A' I D A D2' I D2 I A2 D2 I2' A2' D2' A2 D2' 10 checkerboard shifted twice, method #3, 109 moves U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' F2' L2 R' BL2' U' BR' U R BR2 R' U2 BR U BL' BR2 R BL2 L' BL L' F2 D2' BF2 D2' BF2' I2' D2 BF2 I D2 I D2' BF D I BF' D' BF2 D BF D2 I2 E2' D2' BF2' D2 E2 C' D2' BF' D' BF D2 C BF2 E2' I C2 D A D' I' A2' I D2' A' D' C A2' I' C2' E C' E BF2' 10 checkerboard shifted twice, improved, 108 moves BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U' F2' R2' F2' R2 F U2' F R' U' F2' R F2 U2 R U2' R' U F2' U F' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' Fv2 Ev' U2 F2' U2 F2 R2 U2' F2' R' U2' R' U2 F' U' R' F U F2' U' F' U2' R2' L2 U2 F2 U2' L2' BL U2 F U F' U2' BL' Ev Fv2' 10 checkerboard shifted twice, method #4, 106 moves BL U2 F U' F' U2' BL' L2 U2 F2' U2' L2' U' F2' R2' F2' R2 F U2' F R' U' F2' R F2 U2 R U2' R' U F2' U F' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' Fv2 Ev' U' R2' U' L2 F2' L2' F2 U R2 L2 U R F U' L' U2 L2' U2' L F' R' U2' BL U2 F U F' U2' BL' Ev Fv2' 10 checkerboard shifted twice, improvement, 102 moves BL U2 F U' F' U2' BL' U2 R F L' U2 L2 U2' L U F' R' U' L2' R2' U' F2' L2 F2 L2' U R2 U F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' Fv2 Ev' U' R2' U' L2 F2' L2' F2 U R2 L2 U R F U' L' U2 L2' U2' L F' R' U2' BL U2 F U F' U2' BL' Ev Fv2' 10 checkerboard shifted twice, improved, 99 moves U F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 U F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' Fv2 Ev' U' R2' U' L2 F2' L2' F2 U R2 L2 U R F U' L' U2 L2' U2' L F' R' U2' BL U2 F U F' U2' BL' Ev Fv2' 10 checkerboard shifted twice, 97 moves U F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 U F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F2' Fv2 Ev' U' R2' U' L2 F2' L2' F2 U R2 L2 F' L2' BL2 L F L F' L' U L' U' BL2' L2 F' L2' F2 U' Ev Fv2' 10 checkerboard shifted twice, 95 moves F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F' R2' L BR2 U BL U' L' BL2' L U2' BL' U' BR BL2' L' BR2' R BR' R F L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 U2 Fv2 Ev' R2' U' L2 F2' L2' F2 U R2 L2 F' L2' BL2 L F L F' L' U L' U' BL2' L2 F' L2' F2 U2' Ev Fv2' 10 checkerboard shifted twice, 92 moves F2' L BL' L BL2' R' BR2' BL U' BR' U2' R BR2' R' U' BR U BL2 R L2' F2 U2 F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U R2 BF2 E' C E' C2 I A2 C' D A D2 I' A2 I D A' D' C2' I' E2 BF2' D2' BF2 E2' BF' E2 C2' D' E' D E' BF' E BF E C2 E2' BF' E2 I2 D BF2 E2' BF2' E2 D' I2' 10 checkerboard shifted twice, new method, 94 moves first 47 moves are centrally reflected U2 F2' L2 F L2' BL2 U L U' L F L' F' L' BL2' L2 F L2' R2' U' F2' L2 F2 L2' U F L' F L2' BR' BL2' L U' BL' U2' BR BL2' BR' U' BL U L2 BR F2' R2 D2' BF2 E2' BF' E2 C2' D' E' D E' BF' E BF E C2 E2' BF' E2 I2 D BF2 E2' BF2' E2 D' BF' E BF' E2 A C2 E' D C D2 A' C2 A D C' D' E2' A' BF2 I2' 10 checkerboard shifted twice, new method, 90 moves first 45 moves are centrally reflected U2 F2' L2 F L' BR' U F L' U2' F' L' U2' L F U BR R2' U' F2' L2 F2 L2' U F L' F L2' BR' BL2' L U' BL' U2' BR BL2' BR' U' BL U L2 BR F2' R2 D2' BF2 E2' BF' E A D' BF' E D2 BF E D2 E' BF' D' A' I2 D BF2 E2' BF2' E2 D' BF' E BF' E2 A C2 E' D C D2 A' C2 A D C' D' E2' A' BF2 I2' 10 checkerboard shifted twice, 88 moves first 44 moves are centrally reflected ((F' R' L' U2 L U R BR F U2' BR' U' 3u)8 3r 3f2) (F' R' L' U2 L U R BR F U2' BR' U' 3u')8 (R2' F2' U' R' U R F' R' F U F' U' R F F2 R2 3u)8' 10 checkerboard shifted twice ((F' R' L' U2 L U R BR F U2' BR' U' Uv)8 Rv Fv2) (F' R' L' U2 L U R BR F U2' BR' U' Uv')8 (Uv' R2' F2 R' U F U' F' R F R' U' R U F2 R2)8 10 checkerboard shifted twice (312 moves) ((L2 E2' 3d2')18 3l2')9 10 checkerboard shifted twice (324 moves) the 10 checkerboard is really six 5-cycles (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3l)63 3f 10 checkerboard shifted twice, horrible but it gets there (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3l')48 3f 10 checkerboard shifted twice, a bit less horrible ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F) 3u (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF') 3u' 3bl)18 10 checkerboard shifted twice ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F) (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF') 3r')18 10 checkerboard shifted twice ((R2 F2 L2)11 Rv Uv')27 10 checkerboard shifted twice (experiment) ((R2 F2 L2)11 Rv')27 10 checkerboard shifted twice (simplified) (((U2 L2 E2' D2' 3u2')4) 3u')15 almost 10 checkerboard order 2 ((U2 L2 E2' D2' U2 BR2 A2' D2')2 3u)15 almost 10 checkerboard order 2 less rotations ((U2 L2 E2' D2') (U2 BR2 A2') (L2 E2' D2') (U2 BR2 A2' D2') 3u)15 almost 10 checkerboard order 2 expanded and improved ((L E' BL C' 3u)210 3u)5 almost 10 checkerboard order 2 alternate method U A' L' BL2 BF2 F' U2 BL2 I' D2' E2 D2 BF L2 I2 BR2 BF' D2' L A2' D2 BF2' E2 BF2 C2' F2' E2' A C' E2 BL U' L2 A2 R F A2 I A2' I' BL2' U' A2' L2 A2 C2 R U R' C2' U' R2 L2 C' F2' C E' R2' E BR2' BL' U BR2' L2 BL2 BF' BR BF BR BL2' U BL2 U2' BL' U2 BR' L' U' F2' BL2' L2' A F' A' L F2' L2' BL2' L F2 U2' BL L U2 BL2' U2 L F U' F' L U2' L' U BL2 L2 BL2' U2 BL' U' L2' BL' L2 BL2' U' L U L2 BL L2' A' I' BL I A L BL2 L' U BL2 BR BL2' BR' U' BF' BL2 BF BL2 BF' BL' BR' BL BR BL BF L U BL U' BL' L' U BR BF BR' U' BR BF' BR' BL2 BF BL2' U' BL2 BF' BL2' U almost 12 checkerboard order 2 (general solver 167 moves) (2U 2L 2F 2R2')12 build part of 10 checkerboard order 2 alt (2L 2U 2F 2L' 2U' 2F')27 build part of 10 checkerboard order 2 alt ((L2 E2' 3d2')18 3l2')9 3f2 ((L2 E2' 3d2')18 3l2')9 12 checkerboard order 3 (dr2' Dw2)24 Uv L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' Lv' Uv U2 BL2' U2 BL2 L2 U L2' U BL2' U BL2 L2 U2 L2' DRv2' Uv2' BR BL (R U R' U R' U' R2 U' R' U R' U R U2')2 BL' BR' Fv2 Uv BR BL (R U R' U R' U' R2 U' R' U R' U R U2') BL' BR' Uv Rv2 Uv4 12 checkerboard order 3 (Kuno Woudt with some optimization, 126 moves) (dr2' Dw2)24 Uv L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' Lv' Uv U2 BL2' U2 BL2 L2 U L2' U BL2' U BL2 L2 U2 L2' DRv2' Uv2' BR BL U2 R' U' R U' R U R2' U R U' R U' R' BL' BR' Fv2 Uv BR BL R U R' U R' U' R2 U' R' U R' U R U2' BL' BR' Uv Rv2 Uv4 12 checkerboard order 3 (Kuno Woudt with more optimization, 112 moves) (dr2' Dw2)24 Uv L2 U2' L2' BL2' U' BL2 U' L2 U' L2' BL2' U2' BL2 U2' Lv' Uv U2 BL2' U2 BL2 L2 U L2' U BL2' U BL2 L2 U2 L2' DRv2' Uv2' U' BL' R' BR' U' BR U BL R U BR U' BR' U Fv2 Uv U' BR U BR' U' BL' R' U' BR' U BR BL R U Uv Rv2 Uv4 12 checkerboard order 3 (Kuno Woudt with more optimization, 104 moves) (dr2' Dw2)24 R2' U2' R2 U R2' U2 R' U' R U R' U R U' R' U2 R2' U R2 U2' FL' L' FR' F' FL' F FL L FR FL F FL' F' FL B' BR B BR' B' DR' BL' B' BR' B BR DR BL B 12 checkerboard order 3 (Kuno Woudt, optimized with less rot, 96 moves) (3e2' L2' 3u2' U2)23 3e2' 3u2' U2 R2 U R2 U2' R2 U2' R2 U R' U2' R2 U2' R2 U2' R' U2' R2' A' L' C' F' A' F A L C A F A' F' A BF' BR BF BR' BF' E' BL' BF' BR' BF BR E BL BF 12 checkerboard order 3 (Kuno Woudt, old notation, 94 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 U2 R2 U R2 U2' R2 U2' R2 U R' U2' R2 U2' R2 U2' R' U2' R2' A' L' C' F' A' F A L C A F A' F' A BF' BR BF BR' BF' E' BL' BF' BR' BF BR E BL BF 12 checkerboard order 3 (Kuno Woudt, condensed no rot, 92 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 U2 F2 U R2' BR2' U2' R2 U' F2' R2' U2' F2 U2' BR2 F2' U2 R2 BF' BR BF BR' BF' E' BL' BF' BR' BF BR E BL BF A' L' C' F' A' F A L C A F A' F' A 12 checkerboard order 3 (Kuno Woudt, tw iteration, 91 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 BF' BR BF BR' BF' E' BL' BF' BR' BF BR E BL BF U2 F2 U L A' U F A U' L' A' U F' A U' R2' BR2' U2' R2 U' F2' R2' U2' F2 U2' BR2 F2' U2 R2 12 checkerboard order 3 (Kuno Woudt, recombining, 89 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 BF' BR BF BR' BF' E' BL' BF' BR' BF BR E BL BF U2 F2 U L A' R2' BR2' U F U' A L' U A' F' U2 A R2 U' F2' R2' U2' F2 U2' BR2 F2' U2 R2 12 checkerboard order 3 (Kuno Woudt, more optimizing, 88 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 U2 F2 U L A' R2' BR2' U F U' A L' U A' F' U2 A R2 U' F2' R2' U2' F2 U2' F2' BR2' BL E BF BR BF' BR' BL' E' BR' BF' BR BF BR' U2 R2 12 checkerboard order 3 (Kuno Woudt, slide moves, 87 moves) U2 F2 U' L2' U L U' L F2 U2 L2' U F' L' F U2 L2' U2 L U' F2 L2' U' F2 L' U2 Fv2 Ev' Uv2' L U2 F' U' F2 L U L2 U F L U F L U2' F U2 L2 U2' F' U2' F L' F L U Fv Lv D L2' E' I2' D2' E' D2 I2' L U I2 D2 L E D2 I' D L2 U L2 E I2 D I2' L2 U' L2' U' I2' D2' L Lv 12 checkerboard order 3 (Rokicki + Longridge, 83 moves) U2 F2 U' L2' U L U' L F2 U2 L2' U F' L' F U2 L2' U2 L U' F2 L2' U' F2 L' U2 Fv2 Ev' Uv2' L U2 F' U' F2 L U L2 U F L U F L U2' F U2 L2 U2' F' U2' F L' F L U Fv Lv I BF2 A2' R E2 R2' E R' U2' E' C2 R U2 C2' E R U2' E' C2 R' U2 C2' R2 E2' R' A2 BF2' I' Lv Uv 12 checkerboard order 3 (Rokicki + Longridge, 80 moves) U2 F2 U' L2' U L U' L F2 U2 L2' U F' L' F U2 L2' U2 L U' F2 L2' U' F2 L' U2 Fv2 Ev' Uv2' L U2 F' U' F2 L U L2 U F L U F L U2' F U2 L2 U2' F' U2' F L' F L U C E2 F2' BL BR2 BL2' BR BL' I2' BR' U2 BL I2 U2' BR BL I2' BR' U2 BL' I2 U2' BL2 BR2' BL' F2 E2' C' Uv2' Ev Fv2' 12 checkerboard order 3 (less rotations, 80 moves) U2 F2 U' L2' U L U' L F2 U2 L2' U F' L' F U2 L2' U2 L U' F2 L2' U' F2 L' U2 Lv' Rv2 L U2 F' U' F2 L U L2 U F L U F L U2' F U2 L2 U2' F' U2' F L' F L U C E2 F2' BL BR2 BL2' BR BL' I2' BR' U2 BL I2 U2' BR BL I2' BR' U2 BL' I2 U2' BL2 BR2' BL' F2 E2' C' Rv2' Lv 12 checkerboard order 3 (less rot, 80 moves) L U2 F' U' F2 L U L2 U F L U F L U2' F U2 L2 U2' F' U2' F L' F L U C E2 F2' BL BR2 BL2' BR BL' I2' BR' U2 BL I2 U2' BR BL I2' BR' U2 BL' I2 U2' BL2 BR2' BL' F2 E2' C' D2 E2 D' BF2' D BF D' BF E2 D2 BF2' D E' BF' E D2 BF2' D2 BF D' E2 BF2' D' E2 BF' D2 12 checkerboard order 3 (no rot, 80 moves) 2R2' 2U2' 2BL 2R2' 2BR 2U 2R' 2F 2R2 2U2 2F2' 2BR' 2U 2BR 2BL' 2BR2' 2U2 2F2' 2BR 2L 2BR2 2BL2' 2F 2BL2 2L' 2BL2 2U2 2L2 2F2 2L 2R2' 2U2 2L2 2U2' 2L' 2F2' 2L2 2F2' 2L2' 2F2 2R2 2L 2U2' 12 checkerboard order 3 (43 slice moves or 86 face turns) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 U2 F2 U L A' R2' BR2' U F U' A L' U A' F' U2 A R2 U' F2' R2' U2' F2 U2' F2' BR2' BL E BF BR BF' BR' BL' E' BR' BF' BR BF BR' U2 R2 Rv' Uv2' (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') (BF2' D BF2 D' E2 C2 D BF2 D' E2 C2 D E2' BF2' D' C2' D E2' BF D' BF2) (C2' D C2 D' A2 I2 D C2 D' A2 I2 D A2' C2' D' I2' D A2' C D' C2) 12 checkerboard order 2 (12 check o3 + 10 check o5, 171 moves) (L2' I2 D2' E2 R2' U2)7 L2' I2 D2' E2 U2 F2 U L A' R2' BR2' U F U' A L' U A' F' U2 A R2 U' F2' R2' U2' F2 U2' F2' BR2' BL E BF BR BF' BR' BL' E' BR' BF' BR BF BR' U2 R' BR' R2' Rv' Uv' ( U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2') (F2 U' F2' U L2' BL2' U' F2' U L2' BL2' U' L2 F2 U BL2 U' L2 F' U F2') (BF2' D BF2 D' E2 C2 D BF2 D' E2 C2 D E2' BF2' D' C2' D E2' BF D' BF2) (C2' D C2 D' A2 I2 D C2 D' A2 I2 D A2' C2' D' I2' D A2' C D' C2) 12 checkerboard order 2 (12 check o3 + 10 check o5, 170 moves) U2' F U2 F2 U F L F2 L2' U2 L F' U2' F2' U' L F2 L2' U2 L' E2 C2' E2 BR2 U BR U R' BR' U' BL BR R U' BR' BL' BR2' E2' C2 BR2 L2 R2 U2 L' BL' L BL U2' R BL2' BR U BR' U' R2 BL2 BR2' BF2 I2 D' I2 D' E2 D2 I' BF I2 BF2 D2' E D2 E2 D2' E' D2 E2 BF' D2' BL2' I2 BL' I' BL I BF' E BF2' I2' BF' I BF E' BF2' I' D2 BL2 BF U2' 12 checkerboard order 2 (new approach, 98 moves) ((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F) (D2' BF' D2 E2 D2' E2' BF' E2 D2 E2' D2' BF2 D2 BF') 3r' 3f')20 almost 12 checkerboard ((2U 2L 2F 2BR)36 3a)3 almost 12 checkerboard order 2 (one edge swap away) (((U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)2 ) 3u')32 3f2 3l2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)2' 3l' tridents and checkerboard (U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F U2 F 3u2)16 3f2 3l2 (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F)2 3l' tridents and checkerboard improvement ((L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' )18 3l')21 3f 10 stars (10 stars is really four 5-cycles of corners) (((L2 E2' R2 I2' L2' E2 R2' I2 3u2)16) 3u2')3 10 stars (384 moves, algebraically compact but lengthy) ((2L Uv')12 Uv2)48 10 stars (2L and Uv is enough) ((2L 2F 2U)6 Uv)9 10 stars (162 slice moves) ((2L Uv')12 Uv)48 10 stars shifted twice (2L and Uv is enough) ((2L 2F 2U)6 Fv)7 10 stars shifted twice (126 slice moves) (( L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2) ( E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') 3r)24 3f' 10 stars ((L2 E2' U D')9 3u2 3r2)18 10 stars (experimental) ((U R D' I')9 3u')9 10 stars (324 moves, experimental) ((U R)9 (D' BF')9 3u')9 10 stars (324 moves alternate method) (( L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2) ( E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2') 3u2)12 10 stars (312 moves, needs improvement) ((L2 E2' U2 D2' L2' E2 U2 D2')3 3u2)7 10 stars (168 moves) (BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u2')2 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u2)2 3r 3f2 (L E' 3u')36 10 stars (10 checkerboard + 10 spot, 156 moves) ((U R')9 3u2')7 3f2' 3r2' (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2')' 3r2 3f2 10 stars (139 moves) ((U R')9 3u2')7 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 10 stars (139 moves, simplified) ((R2 U R2' U')3 3u)6 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 10 stars (four 5-cycles of corners, 85 moves) (R2 U2 R2' U BR2 R2 U R2' BR2' U BR2 U2 BR R2 BR' U' BR R2' BR2)' 3u2 ((R2 U2 R2' U BR2 R2 U R2' BR2' U BR2 U2 BR R2 BR' U' BR R2' BR2)' 3u2)2 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 10 stars (70 moves, twsearch improvement) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2' 3u2)2 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 10 stars (70 moves, simplified) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2') 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 10 stars (70 moves, simplified with fewer rotations) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2') I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' 10 stars (70 moves, no rotations) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2' U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2') I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' 10 stars (twsearch amped, 69 moves) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' 10 stars (tw + gc, 68 moves) R2 E' BR2' R2' E' R2' F2 R2 E R2 BR2 E R F2' R2 L2 A' F2' L2' A' L2' BL2 L2 A L2 F2 A L BL2' L2 Rv Fv2 L2' BL2 L' A' F2' L2' A' L2' BL2' L2 A L2 F2 A L2' R2' F2 R' E' BR2' R2' E' R2' F2' R2 E R2 BR2 E R2' Fv2' Rv' 10 stars (per fredlund + twsearch, 60 moves) 2F2' 2L2 2BL 2F2' 2L2 2R2' 2F2' 2L2 2R' 2L2 2BL2' 2F' 2BL2' 2L2' 2R2' 2U2' 2L2' 2R2' 2BR2' 2F' 2BR2' 2R2 2L' 2R2 2F2' 2L2' 2R2 2F2' 2BR 2R2 2F2' 10 stars (various methods, 31 slice moves) ((L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' )9 3u2')24 10 stars shifted twice ((L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' )9 3l2)9 3f 10 stars shifted twice ((L2 E2' R2 I2' BL2 C2' F2 BF2' BR2 A2' )18 3l2)9 3f 10 stars shifted twice ((L E' U2 D2')9 3u2)9 10 stars shifted twice (algebraically compact) ((2L Uv')12 Uv)48 10 stars shifted twice (2L and Uv is enough) ((U R' D' I)9 3u')12 10 stars shifted twice (experiment) ((L2 E2' U2 D2' L2' E2 U2 D2')3 3r')12 3f' 10 stars shifted twice (288 moves) ((U R BF' I')9 3u')8 10 stars shifted twice (288 moves) ((L2 E2' U2 D2' L2' E2 U2 D2')3 3u2' 3r2')9 3r 10 stars shifted twice (216 moves) ( BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u)3 3r 3f2 (F2' U F2 U' R2 BR2 U F2 U' R2 BR2 U R2' F2' U' BR2' U R2' F U' F2 3u')3 3r 3f2 (L E' U2 D2' 3u')18 10 stars shifted twice (198 moves) ((L2 E2' U D' L2' E2 U D')3 3u)7 10 stars shifted twice (168 moves) ((L E' U D' L' E U D')3 3u2' 3f2')6 3f 10 stars shifted twice (144 moves) ((U D' L E' U' D L E')3 3u2)6 10 stars shifted twice (144 moves) ((U R)9 3u')7 3f2' 3r2' (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l' 10 stars shifted twice (139 moves) ((U R)9 3u')7 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l' 10 stars shifted twice (139 moves, less rotations) (F' R2 U' R2' F2' R' F U' R' F' U2 R U2' R F2 U R2 U' R2' F' R)' (U F)7 (U L)9 (U BL)9 (U BR)9 (F' R2 U' R2' F2' R' F U' R' F' U2 R U2' R F2 U R2 U' R2' F' R)' (U F)7 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l' 10 stars shifted twice (137 moves, twsearch assisted) U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 (U L)9 (U BL)9 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l' 10 stars shifted twice (131 moves, twsearch assisted) U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 U BL2 L2' U2 L2 BL' U BL2 U L2' U2' L BL2 U L' U2 L U2 BL2' L U2' BL (U BL)5 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l' 10 stars shifted twice (127 moves, twsearch substitutions) U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 U BL2 L2' U2 L2 BL' U BL2 U L2' U2' L BL2 U L' U2 L U2 BL2' L U2' BL (U BL)5 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 3c2 U2' F2 U2 L2 F L2' F U2' F U2 L2 F2 L2' 3l' 10 stars shifted twice (127 moves simplified) U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 U BL2 L2' U2 L2 BL' U BL2 U L2' U2' L BL2 U L' U2 L U2 BL2' L U2' BL (U BL)5 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 I2' D2 I2 BF2 D BF2' D I2' D I2 BF2 D2 BF2' 10 stars shifted twice (127 moves, no rotations) ((BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2'))2 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2) 3c2' 10 stars shifted twice (127 moves, alternate method) ((R2 U2 R2' U2)3 3u2)6 3c2 L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 3c2' 10 stars shifted twice (85 moves) ((U2 BL2 U R2 BL2' U' R2' BL2 U' BL2' U R2 BL2 U2 R2' BL2' U BL2 U BL2')' 3u')3 3c2 L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 3c2' 10 stars shifted twice (73 moves, twsearch improvement) ((BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') 3u')3 3c2 L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 3c2' 10 stars shifted twice (73 moves, simplified) (BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') (BR2 U' BR2' U' BR2 F2 U2' BR2' F2' U' BR2 U BR2' F2 U BR2 F2' U' BR2' U2') (R2 U' R2' U' R2 L2 U2' R2' L2' U' R2 U R2' L2 U R2 L2' U' R2' U2') 3c2 L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 3c2' 10 stars shifted twice (73 moves, expanded) (BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') (BR2 U' BR2' U' BR2 F2 U2' BR2' F2' U' BR2 U BR2' F2 U BR2 F2' U' BR2' U2') (R2 U' R2' U' R2 L2 U2' R2' L2' U' R2 U R2' L2 U R2 L2' U' R2' U2') BF2 D2' BF2' I2' D' I2 D' BF2 D' BF2' I2' D2' I2 10 stars shifted twice (73 moves, no rotations) (BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') (BR2 U' BR2' U' BR2 F2 U2' BR2' F2' U' BR2 U BR2' F2 U BR2 F2' U' BR2' L2 U' L2' R2 U' R2' U2 L2 F2' L2' U2' L2 U2 F2 R2 U2 L2' U2 R2' U2') BF2 D2' BF2' I2' D' I2 D' BF2 D' BF2' I2' D2' I2 10 stars shifted twice (twsearch again, 72 moves) (L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U2' Uv') ( L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U2') Rv Fv2 U2 BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' Uv U2 BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' Fv2' Rv' Uv2 10 stars shifted twice (twsearch + per, 56 moves) (L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U' L2' U2' F2' U BL2 U' F2 U2 L2 U' L2' BL2' L2) Rv Fv2 L2' BL2 L2 U L2' U2' F2' U BL2' U' F2 U2 L2 U BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' Fv2' Rv' 10 stars shifted twice (further reduction, 54 moves) ( 2L 2F' 2BR' 2BL' 2F 2BR 2L 2R' 2BR' 2L' 2F 2U2 2BR 2BL' 2F' 2R' 2BL 2F 2BR 2L' 2F' 2BR' 2BL Uv)2 10 stars shifted twice (46 slice moves) ( 2L 2F' 2BR' 2BL' 2F 2BR 2L 2R' 2BR' 2L' 2F 2U2 2BR 2BL' 2F' 2R' 2BL 2F 2BR 2L' 2F' 2BR' 2BL ) ( 2F 2R' 2BL' 2L' 2R 2BL 2F 2BR' 2BL' 2F' 2R 2U2 2BL 2L' 2R' 2BR' 2L 2R 2BL 2F' 2R' 2BL' 2L) 10 stars shifted twice (46 slice moves, no rotations) ((L2 E2' U2 D2' L2' E2 U2 D2')3 3u 3r)16 12 stars, order 3 (384 moves) (((L2 E2' U2 D2' L2' E2 U2 D2')3 3u2)7 3f)2 12 stars, order 3 (336 moves) ((L2 E2' U D')9 3u1 3r2')16 12 stars, experimental, order 3 (((L E' U D' L' E U D')3 3u2' 3f2')6 3r2)2 12 stars, rotate around a corner, order 3 (288 moves) ((L2 E2' U D' L2' E2 U D')3 3f' 3u')8 12 stars, rotate around a corner, order 3 (192 moves) (((R2 U R2' U')3 3u)6 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 3f)2 3r 12 stars, rotate around a corner, order 3 (170 moves) ((R2 U2 R2' U BR2 R2 U R2' BR2' U BR2 U2 BR R2 BR' U' BR R2' BR2)' 3u2 ((R2 U2 R2' U BR2 R2 U R2' BR2' U BR2 U2 BR R2 BR' U' BR R2' BR2)' 3u2)2 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 3f)2 3r 12 stars, rotate around a corner, order 3 (140 moves) ((BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' BL2' U2 BL' L BL U2' BL' L2' BL2' L' BL2 U2 L' U2' BL2' A2 I2 U2 L2 I2' A2' L2 U2' L' A2 I2 L' I2' L2 A2' I2 L2' A2 L2' A2' F2 U2 L2' U2' F2' L2' I2' U2 F2 L2' F2' L2' U2' F2 L2' F2' U2 L2' U2' L D2 E2 D2' BF2' D2 BF2 E' BF2' D2' BF2 D2 E' D2') 12 stars, rotate corner, order 3 (136 moves) ((BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U BF2' D' BF2 I2 BF2' I2' D' I2 BF2 I2' BF2' D2 3r' D2 E2 D2' BF2' D2 BF2 E' BF2' D2' BF2 D2 E' D2' U2 BL' L BL U2' BL' L2' BL2' L' BL2 U2 L' U2' BL2' A2 I2 U2 L2 I2' A2' L2 U2' L' A2 I2 L' I2' L2 A2' I2 L2' A2 L2' A2' F2 U2 L2' U2' F2' L2' I2' U2 F2 L2' F2' L2' U2' F2 L2' F2' U2 L2' U2' L) 12 stars, rotate corner, order 3 (134 moves) ((BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U BF2' D' BF2 I2 BF2' I2' D' Rv' E' I2 BL2 I2' BL2' BF2 D2 BF2' D2' E' D2 BF2 D2' BF2' E2 BF2 U2 BL' L BL U2' BL' L2' BL2' L' BL2 U2 L' U2' BL2' A2 I2 U2 L2 I2' A2' L2 U2' L' A2 I2 L' I2' L2 A2' I2 L2' A2 L2' A2' F2 U2 L2' U2' F2' L2' I2' U2 F2 L2' F2' L2' U2' F2 L2' F2' U2 L2' U2' L) 12 stars, rotate corner, order 3 (132 moves) ((L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U' L2' U2' F2' U BL2 U' F2 U2 L2 U' L2' BL2' L2) Rv Fv2 L2' BL2 L2 U L2' U2' F2' U BL2' U' F2 U2 L2 U BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' Rv Uv)2 12 stars, rotate corner, order 3 (108 moves) ((L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U' L2' U2' F2' U BL2 U' F2 U2 L2 U' L2' BL2' L2) Rv Fv2 U' F2' BL2 L2' BL2' L' F2 L2' U2 F2' BL2 L2' BL2' L' F2 L2' U2 L2 U' R2' U L2' U2 BR2' U2 BR' BLv) (( BR2 U2' F2 U2' L2' U' BR2' U' L2' U2' F2' U BL2 U' F2 U2 L2 U' L2' BL2' L2 ) Rv Fv2 L2' BL2 L2 U L2' U2' F2' U BL2' U' F2 U2 L2 U BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' BLv) 12 stars, rotate corner, order 3 (101 moves) 2R2' 2U2' 2BL 2R2' 2BR 2U 2R' 2F 2R2 2U2 2F2' 2BR' 2U 2BR 2BL' 2BR2' 2U2 2F2' 2BR 2L 2BR2 2BL2' 2F 2BL2 2L' 2BL2 2U2 2L2 2F2 2L 2R2' 2U2 2L2 2U2' 2L' 2F2' 2L2 2F2' 2L2' 2F2 2R2 2L 2U2 2BR2' 2U 2BL2 2U' 2R' BLv2 Uv' ( 2R 2L2' 2R' 2BL2 2R 2BR Uv')3 12 stars, rotate corner, order 3 (66 slice moves) (R2 E' BR2' R2' E' R2' F2 R2 E R2 BR2 E R F2' R2 L2 A' F2' L2' A' L2' BL2 L2 A L2 F2 A L BL2' L2 Rv Fv2 L2' BL2 L' A' F2' L2' A' L2' BL2' L2 A L2 F2 A L2' R2' F2 R' E' BR2' R2' E' R2' F2' R2 E R2 BR2 E Rv2) E' BR2' R2' E' R2' F2 R2 E R2 BR2 E R F2' R2 L2 A' F2' L2' A' L2' BL2 L2 A L2 F2 A L BL2' L2 Rv Fv2 L2' BL2 L' A' F2' L2' A' L2' BL2' L2 A L2 F2 A L2' R2' F2 R' E' BR2' R2' E' R2' F2' R2 E R2 BR2 E R2' 12 stars, rotate corner, order 3 (118 moves) L2 A2 I2 BL2 I2' BL2' BF I2' BF' A D2' A2' C2' A2 C2 D L2 A2 C2' A2' C2 D A L' A2' I A2' I' BL' A2' L2' A2 L2 C2 F' U2' F C2' R2 U2 R2' E2' C' F2' C E2 L' BR2 U2 BR2' U2' BF' BR2' BF BR BL2 U2' L' U2' BR' BL2' L2 F' U F2' U2' F2 U2 A F A' F2 L2 BL2' L2' F2' L2' BL' U BL U' L U2 L2 F' BL2 L2 BL' L2' F BL U' L2 U BL L I L' I' A' I' BL I A I' BL2' BF' BL2 BF BL' I BL2' U BL U' BL' U' BL' U BL U BL' BR' U' BR 12 stars, rotate corner, order 3 (125 moves) result of an optmized general solve (((L E' U D' L' E U D')3 3u2' 3f2')6 3r2)4 12 stars, rotate around an edge, order 2 (576 moves) (((L E' U D' L' E U D')3 3u2' 3f2')6 3a 3c)3 12 stars, rotate around an edge, order 2 (432 moves) ((U R)9 3u')7 3f2' 3r2' (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3l2' ((U R')9 3u2')7 3f2' 3r2' (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2')' 3r2 3f2 12 stars, rotate around an edge, order 2, (278 moves) ((U R)9 3u')7 3f2' 3r2' (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' ((U R')9 3u2')7 3f2' 3r2' (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2')' 3r 12 stars, order 2, less rotations (278 moves) ((D I)9 3u)7 3r' (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3r' ((D I')9 3u2)7 3r' (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2')' 3r 12 stars, order 2, less rotations (278 moves) U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 U BL2 L2' U2 L2 BL' U BL2 U L2' U2' L BL2 U L' U2 L U2 BL2' L U2' BL (U BL)5 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 3c2 (L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2)' 3r2 ((U R')9 3u2')7 3f2' 3r2' (U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2')' 3r 12 stars, order 2 (reworked, 266 moves) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2') 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 3f2 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 U BL2 L2' U2 L2 BL' U BL2 U L2' U2' L BL2 U L' U2 L U2 BL2' L U2' BL (U BL)5 (U BR)9 U F2 R2' U2 R2 F' U F2 U R2' U2' R F2 U R' U2 R U2 F2' R U2' F (U F)5 I2' D2 I2 BF2 D BF2' D I2' D I2 BF2 D2 BF2' 12 stars, rotate around an edge, order 2, (197 moves) (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' U' R2 U2' R2') (L2' BL2 L' U L BL2' L' U2' L2' U' L2 BL2 U' BL2' L2' U' BL2 U2' BL2') (R2' F2 R' U R F2' R' U2' R2' U' R2 F2 U' F2' R2' U' F2 U2' F2') 3c2 U2 F2 U2' L2' U2 L2 F' L2' U2' L2 U2 F' U2' 3c2' 3f ((U2 BL2 U R2 BL2' U' R2' BL2 U' BL2' U R2 BL2 U2 R2' BL2' U BL2 U BL2')' 3u')3 3c2 L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 3c2' 12 stars, rotate around an edge, order 2, (143 moves) (BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') (BR2 U' BR2' U' BR2 F2 U2' BR2' F2' U' BR2 U BR2' F2 U BR2 F2' U' BR2' L2 U' L2' R2 U' R2' U2 L2 F2' L2' U2' L2 U2 F2 R2 U2 L2' U2 R2' U2') BF2 D2' BF2' I2' D' I2 D' BF2 D' BF2' I2' D2' I2 3f (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U I2 D2 I2' BF2' I2 BF2 D' BF2' I2' BF2 I2 D' I2' 12 stars, rotate edge, order 2 (140 moves) combine 10 stars with rotation + 10 stars shifted twice (BL2 U' BL2' U' BL2 R2 U2' BL2' R2' U' BL2 U BL2' R2 U BL2 R2' U' BL2' U2') (BR2 U' BR2' U' BR2 F2 U2' BR2' F2' U' BR2 U BR2' F2 U BR2 F2' U' BR2' L2 U' L2' R2 U' R2' U2 L2 F2' L2' U2' L2 U2 F2 R2 U2 L2' U2 R2' U2') E' D2 E' D2' E D' E2' D2' E2 D' E2 D2' E2' D' E D2' E' D2 Fv (BR2' R2 BR' U BR R2' BR' U2' BR2' U' BR2 R2 U' R2' BR2' L2 BL2 R2 U2 BL2' L2' U2 R2' U' L2 BL2 U' BL2' U2 L2' BL2 U2' L2 U2' L2') F2 R2 U2' R2' F2' U2' BL2' R2 F2 U2' F2' U2' R2' F2 U2' F2' R2 U2' R2' U 12 stars order 2 (132 moves) (R2 E' BR2' R2' E' R2' F2 R2 E R2 BR2 E R F2' R2 L2 A' F2' L2' A' L2' BL2 L2 A L2 F2 A L BL2' L2 Rv Fv2 L2' BL2 L' A' F2' L2' A' L2' BL2' L2 A L2 F2 A L2' R2' F2 R' E' BR2' R2' E' R2' F2' R2 E R2 BR2 E R2' Fv) (L2 F2' L2' U2' L2 U' BR2 U2' F2 U2' L2' U' BR2' U' L2' U2' F2' U BL2 U' F2 U2 L2 U' L2' BL2' L2) Rv Fv2 L2' BL2 L2 U L2' U2' F2' U BL2' U' F2 U2 L2 U BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' Fv2' Rv' 12 stars order 2 (114 moves) (R2 E' BR2' R2' E' R2' F2 R2 E R2 BR2 E R F2' R2 L2 A' F2' L2' A' L2' BL2 L2 A L2 F2 A L BL2' L2 Rv Fv2 L2' BL2 L' A' F2' L2' A' L2' BL2' L2 A L2 F2 A L2' R2' F2 R' E' BR2' R2' E' R2' F2' R2 E R2 BR2 Fv') BR U L2 F2' L2' U2 BR2 U2 L2 U F2 U' L2' U' L2' U2' F2' U BR2' BL2 U' F2 U2 L2 U' L2' BL2' L2 Rv Fv2 L2' BL2 L2 U L2' U2' F2' U BL2' U' F2 U2 L2 U BR2 U L2 U2 F2' U2 BR2' U L2' U2 L2 F2 L2' 12 stars order 2 (113 moves) ((L E' 3u')18 3u2')9 3r 12 arms (L E' U D' BL C' 3u)42 (L2 E3 3u)48 partial checkerboard (L E' U D' BL C' 3u)42 (L E' U2 D2' 3u')18' partial checkerboard improved (((L E' BL' C BR A' R' I F BF')105)) 3r' partial checkerboard order 2 (U BR BL' 3u')39 partial stars F U F2' U2' F2 U2' F2' U F2' U' F' U2 F U2 F' U' F2 experimental ((L E' U' D L E' U D')3 3u2 )3 experimental U BR2 U2 BR2' R2 BR2 U2 R2' U BR2' U' BR2 R2 BR U2' BR2 R2' BR2' U2 BR2 look for order 5's and order 10's almost pure flip (l r 3a)30 BF D' BF2 BL BF BR BF2 D BF2' BR' BF' BL' BF2 swap 2 pairs of corners (l r 3a)180 = I (l r 3u)72 (3f)3 (2L 3u')36 5 u's (BF BL)630 = I (BF BL)315 = I (BF BL)63 = I (BF BL' u3)720 = I (U D 3f')90 = I F2' L2 F L' F' L' F2 R U L U' R' L' 2 flip (found using twsearch) U2 F' L' U' F' L2 F L' U2 L2' U2' L2 U' F 2 flip, flips UF UR edges F' U2' R' L' F' L F R U2 L' U' L' U L2 F 2 flip with separation UF UBL (twsearch) (((L 3u)5 (A 3u')5)6 3a2)2 2 flip in a face with separation F' U2' F2 U F2 L' U' L U F2 U2' F' U2' L F L' 4 flip (twsearch) R2' F' U' F2 U R F' R U F U2' F' R' U R 4 flip UF UR UL RBR (twsearch) 1 2 7 8 (BL U BR U BL' U' BR' U')18 4 flip (BR BL U' BL' BR' U)10 4 flip (BL U BR U2 BL' U' BR' U2')4 4 flip (mostly human brain power) U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L 3f2' 3bl U BL U BL BR' U BR U' BL' U2' BL' U' L U L' BL 3l2' U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L 6 flip (needs improvement) U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L 3f2' 3bl U BL U BL BR' U BR U' BL' U2' BL' U' L U L' BL A L A F A' L' A' L F' L2' F2 L F' L' F' L 6 flip (less rotations) U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L D E D E BF' D BF D' E' D2' E' D' C D C' E F C F A F' C' F' C A' C2' A2 C A' C' A' C 6 flip (no rotations, 48 moves) (BF BL' u3)360 8 flip (BL2 BR2 U2)8 8 flip (U BL BR R F L)198 8 flip (BL BR U2)216 8 flip (L E' R I' 3u')180 8 flip (2L 2R U)180 8 flip (BL U BR U')7 8 flip (2L 2F 2L' 2F' 2U)60 8 flip (BF2' BL' L') (BR BL2 BR2' BL' U2 BR2' BL2' BR' U' BR' BL2' U2 BR' U2' BR2 U BL2' BR2 U2 BR BL BR U2 BL2') L BL BF2 10 flip (rokicki, 30 moves) ((L2 U2 R2' U2 3u')45 3r2)5 10 flip (flips edges on R and I faces) (BL BR U)210 12 flip (BL2 BR U2)30 12 flip (BL U2 BR)27 12 flip ***trying to calculate (BL U2 BR)9 in an effort to find a shorter solution, nothing up to 22 U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U2' R' F' 12 flip (rokicki, 26 moves) (2BL2 2BL2 2U)180 16 flip (2L 2BR)180 16 flip (2BF2 3u)24 16 flip (2BL2 2BR2 3u2')12 16 flip (2L 2E' 3u')24 16 flip (L E' F BF' BL C' BR A' R I')72 16 flip (2L 2R)180 16 flip (F2 R2 L2 BR2 BL2 U)54 20 flip (BL2 L2 R2 BR2 F2 BL2 L2)126 20 flip ((L E' 3u2')8 3u2)15 20 flip (L E' BR A' F BF' 3u2')45 24 flip (L E' U2 D2' BL C')27 24 flip (U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U2' R' F' 3f2 3l 3u)2 24 flip (rokicki modified, 52 moves) ((F2 C2' D2 C L2' A L2' BF) (BR2 R2' F2 R BL2' U BL2' A) (D2 E2' BR2 E I2' BF I2' U))2 24 flip (rokicki expanded, 48 moves) ((BR2 U' BR2' U R2' F2' U' BR2' U R2' F2' U' R2 BR2 U F2 U' R2 BR' U BR2' 3u2')2 3f)12 26 flip (U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U2' R' F' 3f2 3l 3u)2 U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L 26 flip (68 moves) (L' BL' BR' R' F' E' BF' I' A' C')6 28 flip (60 moves) (C A I BF E F R BR BL L)6 28 flip (avoiding anti-clockwise turns, 60 moves) ((L 3u)5 (E 3u')5)6 28 flip (algebraic compact, 60 moves) move adjacent sides in a sequence of five, then do opposite side (E opposite L etc) (L' BL' BR' R' F' E' BF' I' A' C')6 3f2 3u 3f BR' R 3u U2 F' L' U' F' L2 F L' U2 L2' U2' L2 U' F 3u' R' BR 30 flip (28 flip combined with 2 flip, 78 moves) (L' BL' BR' R' F' E' BF' I' A' C')6 3f' 3l' R F' U' BR' U BR F R2 BR2' R' BR R BR R2 3l 3f 30 flip (simplified via twsearch, 74 moves) ((L' 3u')5 (E' 3u)5)6 3f' 3l' R F' U' BR' U BR F R2 BR2' R' BR R BR R2 3l 3f 30 flip (algebraic compact version, 74 moves) (C A I BF E F R BR BL L)6 3f' 3l' R F' U' BR' U BR F R2 BR2' R' BR R BR R2 3l 3f 30 flip (avoiding anti-clockwise turns, 74 moves) A' F2' A2 F C2' A2 F2 A C A F2 C2' A C2 A2' C' F2 A2' C2' A' F' A' C2' F2 I2 BR BL2 BR U2 BL2 BR2 U2 BL2 U2 BR BL' U2' BR2' BL2' U2' BR2' U' BR' U2 BR U' BL2' U2' BL' BR' U I E D BF D2' E2 BF2' D BF I2 D E2 I D' BF' D2 I2' BF2 D' BF' E2' D' E2' 30 flip (alternative method, rokicki, 74 moves) L F L F' L2' F2 L R U L' U' R' F2 L' C' E' BF' I' A' BL' BR' R' F' L' C' E' BF' I' A' BL' BR' R' F' L' C' E' BF' I' A' BL' BR' R' F' L' C' E' BF' I' A' BL' BR' R' F' L' C' E' BF' I' A' BL' BR' R' F' L' C' E' BF' I' A' BL' BR' R' 30 flip (rokicki improvement, 72 moves) L F L F' L2' F2 L R U L' U' R' F2 L' C' E' BF' I' A' BL' BR' R' (F' L' C' E' BF' I' A' BL' BR' R')5 30 flip (rokicki factored, 72 moves) BL2 BF2' I2' BF' BL' BF' I2' BL2 BF' BL2' BF2 BL I2 BF' I BL BF' BL2 E2 U' (F2 C2' D2 C L2' A L2' BF) (BR2 R2' F2 R BL2' U BL2' A) (D2 E2' BR2 E I2' BF I2' U) (F2 C2' D2 C L2' A L2' BF) (BR2 R2' F2 R BL2' U BL2' A) (D2 E2' BR2 E I2' BF I2' U2 E2') 30 flip (rokicki expanded, 69 moves) (U F E2' U' F R' BF2 C2' 3l2 3d2)9 30 flip (rokicki modified, 72 moves) (U F U' F E2' R' BF2 C2' 3l2 3d2)9 30 flip (rokicki modded, 72 moves) (U R F2' R F2' L2' BR2' A C D A2' D A2' F2' E2' L I BL L2' BL L2' A2' BF2' F)3 30 flip (twsearch A2 search, 72 moves) L' I' BL' I' U2' R U2 F' C' R' BF' BR' BF' E' D' A' F U F' U2' R2 U R2' U' F U' R F2' R' F2 U F2 U F2' R' F2' U' F D' I' D2 BF' I' BF2' D2 BF' D' I2' D2 BF' I D2' I2 D' BF' D2' I D BF2 30 flip (rokicki, 3 phase solution, 59 moves) L' I' BL' I' U2' R U2 F' C' R' BF' BR' BF' E' D' A' R' F U' C' F C2' R C' R F2 R2 F R C' R F2 C F2' C' R' D' I' D2 BF' I' BF2' D2 BF' D' I2' D2 BF' I D2' I2 D' BF' D2' I D BF2 30 flip (rokicki, using < F,U,R,C >, 57 moves) L F U F R F2 U' L2' U2 L U2 F L F2' L' F2' L U BL I A I D C BL' D BF E BF BL U BR BF2' I' BF2 I' D' I2 D' I2' BF' I2 BF' I' BF2 I' D2' BF I2 BF D2' BF2' I' D2' BF' 30 flip (rokicki, 3 phase, 55 moves) (U D F2 BF2 R' I' L2' E2' F BF BL' C' R' I')15 30 flip (antislice, twsearch A2) (U2 D2 F2 BF2 L2' E2' I' BL2 C2 R)15 30 flip (antislice + R,I, twsearch A2, 150 moves) (U D R L2' E2' U2 D2 BL' C' F2 BF2 BL' C' I2')9 30 flip (4 antislice + R,I, twsearch A2, 126 moves) (F BF U2 BL2 C2 R U' L2 E2 D' I2)9 30 flip (3 antislice + U,D,R,I, A2, 99 moves) (R' I' 3f2' BL2 C2 3u2' U2 D2')15 30 flip (3 antislice + U,D + X,Y rotations, 90 moves) (I' 2F 2L' I 2R 2L2)15 30 flip (slice + I, twsearch A2) ((2L 2U)12 Uv)10 30 flip (slice moves, THIS IS NOT SUPERFLIP) (2R2 2L2 2R2 BF 2F' 2L' BF 2R2' 2L)9 30 flip + 12 spot order 2 (3 slice + F,BF, 144 moves) (2L2 2R2 2L2 2R 2L2' F' 2R' BF' Fv')9 30 flip + 12 spot order 2 (3 slice + F,BF, optimized, 126 moves) (U F U F2 D U Rv2' D2 Fv' BF2')15 30 flip + 12 spot order 2 (U,F,D,BF + 2 rotations, 120 moves) (L2' A2 L' Uv A2' L' Fv2' L Uv2')15 30 flip + 12 spot order 2 (L,A + 3 rotations, 90 moves) (Uv' 2L' Uv2' 2L2 Uv' 2L2' Uv2' 2L' Uv2' 2L Uv2 2L Uv' 2L)7 30 flip + 20 twist (superfliptwist, 49 slice moves, 98 moves) THIS IS WRONG only 28 edges are flipped candidate for better 10 spot process (L E' A' BR 3u)4 candiate for better 10 spot process (L E' A' BR) (F BF' C' BL) (R I' E' L) (BR A' BF' F) candidate for 10 spot (16 moves) (L2 E2' 3u2)18 (L A' 3u)9 candidate for 10 spot (18 moves) (L R E' I' 3u)24 https://www.reddit.com/r/Cubers/comments/3pcuwl/some_megaminx_pattern_ideas/ moves: U, D, F, BF, L, E, BL, C, BR, A, R, I purple = BL white = U red = F orange = BF green = L light green = E pink = C yellow = BR light yellow = A blue = R light blue = I grey = D L opposite E F opposite BF R opposite I BR opposite A BL opposite C U opposite D t = tetrahedron c = cube d = dodecahedron t v 0.333333333333333 e 0.577350269189626 c f 0.333333333333333 d f 0.7 = megaminx toggle options by clicking on options megaminx versions ----------------- supernova, tomy, dayan, shengshou, moyu yuhu, gan, QiHeng S, qiyi galaxy v2