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 2020) 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. (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 iteration, 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 processes, 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 processes via 3u2, 42 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) ((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 3u2 3r')22 3f 3u2' 3 checkerboard (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 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) (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 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 (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 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) 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) 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) (((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, 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) (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) (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) ((R2 L2 BR2 BL2 F2)7 R2)27 5 Y's plus 5 cups (R2 L2 BR2 BL2 F2 3u R2' L2' BR2' BL2' F2')24 5 wedges ((L2 E2' U D' L2' E2 U D')7 3u')9 10 tridents ((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) (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) (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) (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 (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) 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) (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 (L3 E3' BL3 C3' BR3 A3' R3 I3' F3 BF3')10 F2 R2 BF2' I2' 10 spot 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 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' 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' 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 (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 (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' 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) (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) (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) ((L E' 3u')18 3f')9 3r 10 checkerboard (324 moves) (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' 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 ((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 (288 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 (((U2 L2 E2' D2' 3u2')4) 3u')15 almost 10 checkerboard order 2 ((L2 E2' 3d2')18 3l2')9 3f2 ((L2 E2' 3d2')18 3l2')9 12 checkerboard order 3 ((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 (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) (((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 (((L2 E2' R2 I2' L2' E2 R2' I2 3u2)16) 3u2')3 10 stars (384 moves, algebraically compact but lengthy) (( 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) ((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) ((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) ((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) (((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) (((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') 3bl 3u2)3 3r 12 stars, order 2 different type (210 moves) (L E' U D' BL C' 3u)42 (L2 E3 3u)48 partial checkerboard (((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 (BL U BR U')7 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) (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 (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) (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) (((L 3u)5 (A 3u')5)6 3a)5 30 flip (experimental, 300 moves) (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 3f2' 3bl BF' BR' U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L BR BF 3l2' U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L 30 flip (another alternative, 104 moves) (3l2 3r' 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')2 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 30 flip (improvement, 100 moves) 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' D I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' 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 30 flip (expanded, 100 moves) 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' U L U BL U' L' U' L BL' L2' BL2 L BL' L' BL' L D I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' 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 30 flip (reordered, 100 moves) U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' ( U L U L2' BL2 L' BL2' L2 BL U L' BL' L U2' F R U)' D I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' 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 30 flip (improvement, 98 moves) U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U' R' F' U2 L' BL L U' BL' L2' BL2 L BL2' L2 U' L' U' D I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' 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 30 flip (simplified, 98 moves) U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U' R' F' U2 L' BL L U' BL' L2' BL2 L BL2' L2 U' L' U' D I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' D BF E' C' E' C F E2 BF' E D E' D' E' C D' F A F' C' F' C A' C2' A2 C A' C' A' C 30 flip (twsearch improved, 96 moves) U F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U' R' F' U2 L' BL L U' BL' L2' BL2 L BL2' L2 U' L' U' I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' D2 BF E' C' E' C F E2 BF' E D E' D' E' C D' F A F' C' F' C A' C2' A2 C A' C' A' C 30 flip (improved, 95 moves) F R2 F U2 R2 F2 U2 R2 U2 F R' U2' F2' R2' U2' F2' U' F' U2 F U' R2' U' R' F' U2 L' BL L U' BL' L2' BL2 L BL2' L2 U' L' I BF2 I D2 BF2 I2 D2 BF2 D2 I BF' D2' I2' BF2' D2' I2' D' I' D2 I D' BF2' D2' BF' I' D2 BF E' C' E' C F E2 BF' E D E' D' E' C D' F A F' C' F' C A' C2' A2 C A' C' A' C 30 flip (improved, 93 moves) look at (U F U' F')3 R' F R F' R' F R BR R' F' R F R' F' R BR' 2 twist (monotwist, 16 moves) R BR2 R' BR' R BR' R' BR2 R' BR2' R BR R' BR R BR2' 2 twist (twsearch, 16 moves) R BR2 U' L' U BR2' R' BR U' L U BR' 2 twist separated (twsearch 12 moves) ((U3 R3)2 U1 R1 U3 R3 U3 R2 U1 R2 U3 R3 U3 R1 U1 R3)30 3 twist (U3 R U2 (R U)2 R2 U3 R3 U3 R2 U)42 3 twist (transference) (BL BR U)140 3 twist (BL2 BR2' U2)210 3 twist (BL BR R F L E BF R A C)60 3 twist (L E' R I' 3u')120 3 twist (R' F' R F' R' F2 R F2)6 3 twist R2 F' R2' F2' R F2' R F2' R' F' R F' R2' F' R2 F2' R2' F 3 twist (twsearch) U2' R2 U2 F U' R2' U R2 F' R2' F U' R2 U' R2' U2 F' 3 twist (twsearch) U2 L' U2 R2' U2' L U2' F U' R2 U R2' U F' U' R2 3 twist (twsearch) 1 2 3 (L E' BR A' F BF' BL C' R I')11 L E' (I R' C BL' BF F' A BR' E L')11 R' I 4 twist ((L E' 3u' 3a 3f')56)5 4 twist U BR2' U' BR' U2 BR U' BR' U' BR2 U BR2' U BR2 U2' BR2' U BR2' U' 4 twist (twsearch) (BL BR U BR' BL' U')10 4 twist (U' R U2 (R U)2 R2 U' R' U' R2 U)20 5 twist (transference) ((U' R')2 U1 R1 U' R' U' R2 U1 R2 U' R' U' R1 U1 R')5 6 twist (new idea of transference) (R' U2 R' (U2 R2)2 U2 R' U2 R2)30 6 twist (transference) (2BL2 2BL2 2U)120 6 twist (U I D R F A BF BR L C E BL)12 6 twist (L R' F)156 6 twist (L E' R I' 3u')120 6 twist (3 on U face, 3 on D face) (BL U2 BR U2' BR')30 6 twist (U BL BR U BL' BR')12 6 twist (L R F)117 9 twist (BL BR U2)144 9 twist (BL U2 BR)18 9 twist (R D' F R2 U D)16 10 twist (U I D R F A)60 12 twist (L R' BL BR')102 12 twist (BL BR' R F' L E' BF R' A C')48 18 twist (L E' U2 D2' BL C')18 18 twist (L E' BL C' U2 D2' 3u')280 20 twist ((U2 E2' D2' E2 L2' U2 D2' L2)3 3u2')10 20 twist (L E' 3u' U D' 3f')16 check pattern R F U F' U' R' L' U' F' U F L edge 3 cycle in F face U2' F' R' L' U2 L U' L' U' L U' R F U2' edge 3 cycle in U face (14 moves) (R F U F' U' R' L' U' F' U F L) (I' BF' D' BF D I E D BF D' BF' E') double edge 3 cycle R F U F' U' R' L' U' F' U F L F3 R F U F' U' R' L' U' F' U F L F2 edge 5 cycle in F face BL2 U BL2' L2' BL2 L2 U L2' BL2' L2 BL2 U2' BL2' U edge 5 cycle in U face (14 moves) R' U' R' C' U2' R U R' C U R U R2 U R' U R U2' R' edge 5 cycle in U face using < U,R,C,D > (19 moves) R U2 R2 U2' R2 U2 R2' U2 R2 U R' U R2' U' R2' U R' U R2 U2 R2 edge 5 cycle in U face using < U,R > (21 moves) U2 F U2' L2' U2 L2 F L2' U2' L2 U2 F2' U2' F edge 5 cycle in F face (twsearch) F2' L2 F2' L2' U2' F' U2 F' L2 F' L2' U2' F2' U2 edge 5 cycle in F face shifted twice (twsearch) (U' BL2 U2 BL2' L2' BL2 L2 U' L2' BL2' L2 BL2 U' BL2')2 edge 5 cycle in U face shifted twice U2 BL2' U2 BL2 L2 U L2' U BL2' U BL2 L2 U2 L2' edge 5 cycle in U face shifted twice (14 moves) BF2 E2' BF2 E2 D2 BF D2' BF E2' BF E2 D2 BF2 D2' edge 5 cycle shifted twice (twsearch) (BL U2 BR U2' BR')18 edge 5 cycle (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') double edge 5 cycle U2' L U R' U2' L' U2' R U R' L U2 R U2 L' double edge swap (twsearch) BR' U2' L U R' U2' L' U2' R U R' L U2 R U2 L' BR double edge swap in a face F U2' F' R' L' U2 L U R BR F U2' BR' U F' pure double edge swap in a face (twsearch) (U L2' U2 L2)6 pure double edge swap in a face (twsearch -A2) irreducible ----------- (R2 L2 BR2 BL2 F2)4 (L2 E2' U2 D2' L2' E2 U2 D2')3 U R' U R' U R' U R' U R' U R' U R' U R' U R' U L' U L' U BL L U BL L U2 BL R2' BR' BL' R2 U' BL L R2' BR R2 C BL' E L' BF I F' R' A BR' C BL' E L' F2 BR2 U L2 U2 L2' U2 BR2' BL2 U2' F2' U' R2 U2 R2' U U2 L2 U2' R2' BR2 U2' L2' U' F2 U2' BR2' BL2 U2' F2' U2 BL2' U' BL2 U2' F2' R2 U2' BL2' U' L2 U2' R2' BR2 U2' L2' U' F2 U' BL2' L2 BL2 U' BL2' U L2' BL2 U L2 U' L2 BR2 R2 F2 Looking at: (BL BR U2')N (L R BL R)N (L BL F BR)N (L BL F BR 3u)N (BL BR' R F' L)N (BL R 3u 3f)N (BL BR U2)N (BL BR R F L E BF R A C)N (2BL2 2E2)N (U R)9 (U F)9 (U L)9 (U BL)9 (U BR)9 (U R)9 (U F)9 (U R')9 (U L')9 (U BR')9 (U F')9 (U BL')9 (U R')9 (U L')9 (U L F)8 (U BR BL)8 (U F R)8 (U BL L)8 (L E' 3u2')8 candidate for better 10 spot process (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 U opposite D R opposite I A opposite BR C opposite BL 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