I'll eventually have all my corner cycles and edge cycles here. I'm mostly doing this for myself so that I can force myself to find my bad cycles, but I think it might be useful for other people to see as well. Feel free to tell me better or just different algs for certain cycles. I'm sorry that this has to be in my letter scheme, but I just hate writing out UBL etc. so you'll just have to refer to the key. One more note: A lot of these algs can be performed from two or more different angles. Even though I may use both angles for an alg, I only wrote one for each. If you think a cycle is awkward in a certain angle, try it from other angles. Also, I highly recommend only using this list as a reference guide for commutators you can't find a good alg for. Look for a good alg for a case first, and see if you can find one you like. If you do, it will be easier to remember, and if you don't you can look here. [SPOILER=Corners] [SPOILER=Key] Buffer: UBL (A) UBR = B UFR = C UFL = D LUF = F LFD = G LBD = H FUL = I FUR = J FDR = K FDL = L RUF = M RUB = N RDB = O RDF = P BUR = Q BDL = S BDR = T DFL = U DFR = V DBR = W DBL = X [/SPOILER] [SPOILER=B] C - [R' ; [F , R' B2 R]] (9) D - [y R' ; [F , R' B2 R]] (9) F - [y R' ; [U2 , R' D' R]] (9) G - [y ; [U , R' D2 R]] (8) H - [U , R D' R'] (8) I - [x ; [U R' U' , L]] = x U R' U' L U R U' r' (8) J - [x' z ; [R U R' , D] (8) K - [L' D2 L , U'] (8) L - [U , R D2 R'] (8) M - [y R ; [R D R' , U2]] (9) O - [U , R D R'] (8) P - [y ; [R D2 R' , U']] (8) S - [y ; [R D R' , U']] (8) T - [y ; [U , R' D' R]] (8) U - [z' ; [R U2 R' , D2]] (8) V - [z' ; [U2 , R' D2 R]] (8) W - [z' R' ; [U2 , R' D2 R]] (9) X - [z' R ; [R U2 R' , D2]] (9) [/SPOILER] [SPOILER=C] B - [y x' R ; [U' , R D2 R']] (9) D - [R' ; [U , L' D2 L]] (10) F - [F ; [R' D' R , U2]] (10) G - [U2 , R' D R] (8) H - [L' D' L , U2] (8) I - [x R' ; [R' D2 R , U2]] (9) K - [L' D2 L , U2] (8) L - [y ; [R D' R' , U2]] (8) N - [F ; [R2 , U' L' U]] (10) O - [L' D L , U2] (8) P - [U2 , R' D' R] (8) Q - [R' ; [U2 , L' D2 L]] (10) S - [U2 , R' D2 R] (8) T - [y' [U2 , R D' R']] (8) U - [D ; [U2 , R' F' R2 F R]] (14) V - [U2 , R' F' R2 F R] (12) W - [D' ; [U2 , R' F' R2 F R]] (14) X - [D2 ; [U2 , R' F' R2 F R]] (14) [/SPOILER] [SPOILER=D] B - [R ; [U' , L D2 L']] (10) C - [y' x' R ; [U' , R D2 R']] (9) G - [U' , L D L'] (8) H - [L' D' L , U] (8) J - [L' ; [L' D' L , U2]] (9) K - [L' D2 L , U] (8) L - [y ; [R D' R' , U]] (8) M - [x ; [D , R U' R']] (8) N - [x' z' ; [U' R U , L']] (8) O - [y' ; [U' , R' D2 R]] (8) P - [y ; [R D2 R' , U] (8) Q - [R2 ; [L' D2 L , U] (10) S - [y ; [R D R' , U]] (8) T - [U , L D2 L'] (8) U - [x' y R ; [D2 , R U2 R']] (9) V - [x' y' ; [D2 , R U2 R']] (8) W - [x' y' ; [R' D2 R , U2]] (8) X - [x' y' R' ; [R' D2 R , U2]] (9) [/SPOILER] [SPOILER=F] B - [y R' ; [R' D' R , U2]] (9) C - [x' U2 ; [R2 , U' L2 U]] (9) G - [x z R' ; [U2 , R' D' R]] (9) H - [y' R ; [U2 , R D2 R']] (9) J - [y' R ; [U2 , R D R']] (9) K - [y L ; [R D' R' , U2]] (10) L - [x U R' ; [R' D2 R , U2]] (13) M - [F ; [U2 , R' F' R2 F R]] (14) N - [x z R' ; [U2 , R' D2 R] (9) O - [x z R' ; [U2 , R' D R] (9) P - [x' y' ; [R2' U R2 U' R2' , D2]] (12) Q -[R' F ; [U2 , R' D' R]] (12) S - [x' z R ; [R D R' , U2]] (9) T - [y' R ; [U2 , R D' R']] (9) U - [z x' U2 ; [L2 , U R2 U']] (9) V - [F ; [U2 , R' D R]] (10) W - [x' y' ; [U2 , R' F' R2 F R]] (12) X - [z R' ; [U2 , R' F' R2 F R]] (13) [/SPOILER] [SPOILER=G] B - [y ; [R' D2 R , U]] (8) C - [R' D R , U2] (8) D - [L D L' , U'] (8) F - [x z R' ; [R' D' R , U2]] (9) H - [z x' ; [U' , R' D R]] (8) I - [z R ; [U2 , R D R']] (9) J - [D x ; [R' D2 R , U]] (10) K - [D , R U2 R'] (8) M - [x ; [D2 , R U' R']] (8) N - [x ; [R' U2 R , D']] (8) O - [y' [R U' R' , D2]] (8) P - [L ; [D2 , R U' R']] (10) Q - [R2 ; [D , R U2 R']] (9) S - [y' ; [R U' R' , D]] (8) T - [R' y ; [R' D2 R , U]] (10) V - [z' x' ; [D' , R U2 R']] (8) W - [R ; [D , R U2 R']] (9) X - [z' R ; [R2 U R2 U' R2 , D2]] (13) [/SPOILER] [SPOILER=H] B - [U , R D' R'] (8) C - [U2 , L' D' L] (8) D - [U , L' D' L] (8) F - [y' R ; [R D2 R' , U2]] (9) G - [z x' ; [R' D R , U']] (8) I - [y' ; [U' R' U , L']] (8) J - [x' ; [L D' L' , U']] (8) K - [x' ; [L D2 L' , U']] (8) L - [L U L' , D'] (8) M - [x ; [L' U2 L , D]] (8) N - [L' ; [D , L' U2 L]] (9) O - [R ; [L U L' , D2]] (10) P - [L U L' , D2] (8) Q - [R' ; [U2 , L' D' L]] (10) T - [D' , R' U R] (8) U - [y' R' ; [D2 , R' U2 R]] (9) V - [y' ; [U' R2 U , L']] (8) W - [L ; [L D2 L' , U']] (9) [/SPOILER] [SPOILER=I] B - [x ; [L , U R' U']] (8) C - [x R' ; [U2 , R' D2 R]] (9) G - [z R ; [R D R' , U2]] (9) H - [y' ; [L' , U' R' U]] (8) J - [x' y' ; [R U R' , D']] (8) K - [x ; [U2 , R' D2 R]] (8) L - [x' y' ; [R U R' , D]] (8) M - [x' ; [U' R U , L']] (8) N - [U R U' , L'] (8) O - [L , U' R2 U] (8) P - [L , U' R U] (8) Q - [x R2 [U2 , R' D2 R]] (9) S - [z R' ; [F , R' B2 R]] (9) T - [U R' U' , L'] (8) U - [y' R' ; [D , R' U2 R]] (9) V - [U R2 U' , L'] (8) W - [x ; [R U2 R' , D2]] (8) X - [U' ; [L2 , U' R' U]] (9) [/SPOILER] [SPOILER=J] B - [x' z ; [D , R U R']] (8) D - [L' ; [L' D' L , U2]] (9) F - [y' R ; [R D R' , U2]] (9) G - [D x ; [U , R' D2 R]] (10) H - [x' ; [U' , L D' L']] (8) I - [x' y' ; [D' , R U R']] (8) K - [x ; [U , R' D2 R]] (8) L - [x y' ; [U2 , R' D R]] (8) N - [R ; [U , R D R']] (9) OR [x' ; [U , L D' L']] (8) O - [D' x ; [U , R' D2 R]] (10) P - [z' L' ; [U2 , R' D R]] (10) Q - [R' ; [R' F' R2 F R , U2]] (13) S - [x' ; [U R2 U' , L']] (8) T - [x ; [U' L U , R2]] (8) U - [z' ; [R U' R' , D2]] (8) V - [z' ; [U' , R' D2 R]] (8) W - [x' ; [U2 , L D' L']] (8) X - [z' R ; [R U' R' , D2]] (9) [/SPOILER] [SPOILER=K] B - [U' , L' D2 L] (8) C - [U2 , L' D2 L] (8) D - [U , L' D2 L] F - [y L ; [U2 , R D' R']] (10) G - [R U2 R' , D] (8) H - [x ; [D' , L U2 L']] (8) I - [x ; [R' D2 R , U2]] (8) J - [x ; [R' D2 R , U]] (8) L - [x ; [R' D2 R , U']] (8) M - [z' R ; [R D' R' , U2]] (9) N - [x ; [D , L U2 L']] (8) OR [z' R ; [R D' R' , U]] (9) O - [R U2 R' , D'] (8) Q - [x' z ; [D2 , R2 U R2 U' R2]] (12) S - [R U2 R' , D2] (8) T - [F ; [D2 , R' U R]] (10) U - [z' ; [R2 U R2 U' R2 , D2]] (12) W - [x ; [D2 , L U2 L']] (8) X - [U' ; [L2 , U' R U]] (9) [/SPOILER] [SPOILER=L] B - [R D2 R' , U] (8) C - [y ; [U2 , R D' R']] (8) D - [y' ; [R' D' R , U']] (8) F - [x U R' ; [U2 , R' D2 R]] (11) H - [D' , L U L'] (8) I - [x' y' ; [D , R U R']] (8) J - [x y' ; [R' D R , U2]] (8) K - [x ; [U' , R' D2 R]] (8) M - [D x ; [U L2 U' , R']] (10) N - [x y ; [R U2 R' , D']] (8) O - [F' ; [R U2 R' , D']] (10) P - [y' ; [D , R' U2 R]] (8) Q - [x R2 ; [U' , R' D2 R]] (9) S - [F' ; [R U2 R' , D2]] (10) T - [D2 , R' U R] (8) V - [R' ; [D2 , R' U R]] (9) W - [x ; [R U' R' , D2]] (8) X - [z' R ; [R U R' , D2]] (9) [/SPOILER] [SPOILER=M] B - [y R ; [U2 , R D R']] (9) D - [x' ; [R U' R' , D]] (8) F - [F ; [R' F' R2 F R , U2]] (14) G - [x' ; [R U' R' , D2]] (8) H - [x ; [L' U2 L , D]] (8) I - [x' ; [L' , U' R U]] (8) K - [z' R ; [U2 , R D' R']] (9) L - [D x ; [R' , U L2 U']] (10) N - [R , U' L' U] (8) O - [z' ; [U2 , R D' R']] (8) OR [R ; [U' L' U , R2]] (9) P - [x ; [R' , U L2 U']] (8) Q - [R2 ; [D' , R U2 R']] (9) S - [x' ; [L , U' R U]] (8) T - [D' x ; [R' , U L2 U']] (10) U - [x' ; [L2 , U' R U]] (8) V - [z' x' ; [D , R U2 R']] (8) W - [z' x' ; [R' D R , U2]] (8) X - [D x' ; [L2 , U' R U]] (10) [/SPOILER] [SPOILER=N] C - [z' y' R ; [U2 , R D2 R']] (9) D - [x' ; [U' , R' D R]] (8) F - [x z R' ; [R' D2 R , U2] (9) G - [x ; [D' , R' U2 R]] (8) H - [L' ; [L' U2 L , D]] (9) I - [U R U' , L'] J - [R ; [R D R' , U]] (9) OR [x' ; [L D' L' , U]] (8) K - [x ; [L U2 L' , D]] (8) L - [D ; [U' L' U , R2]] (10) M - [U' L' U , R] (8) O - [U' L' U , R'] (8) P - [U' L' U , R2] (8) S - [L , U R U'] (8) T - [x' y' R' ; [R' D' R , U2]] (9) U - [U R U' , L2] (8) V - [y' ; [U' R2 U , L]] (8) W - [R ; [D' , R U2 R']] (9) X - [x' y' R ; [U2 , R D R']] (9) [/SPOILER] [SPOILER=O] B - [R D R' , U] (8) C - [U2 , L' D L] (8) D - [y' ; [R' D2 R , U']] (8) F - [y' x R2 ; [D , R U2 R']] (9) G - [y' ; [D2 , R U' R'] (8) H - [R ; [D2 , L U L']] (10) I - [U' R2 U , L] (8) J - [F ; [D' , R U2 R']] (10) K - [D' , R U2 R'] (8) L - [F' ; [D' , R U2 R']] (10) M - [z' ; [R D' R' , U2]] (8) N - [R' , U' L' U] (8) P - [x ; [R , U L2 U']] (8) Q - [x R' U ; [R2 , U L2 U']] (11) S - [D' ; [R U2 R' , D']] (9) U - [x ; [U' R U , L2]] (8) V - [y' R ; [D2 , R U' R']] (9) X - [R D ; [L2 , U R' U']] (12) [/SPOILER] [SPOILER=P] B - [y ; [U' , R D2 R']] (8) C - [R' D' R , U2] (8) D - [L D' L' , U'] (8) OR [y ; [U' , R D2 R']] (8) F - [x' y' ; [D2 , R2 U R2 U' R2]] (12) G - [L ; [R U' R' , D2] (10) H - [D2 , L U L'] (8) I - [U' R U , L] (8) J - [z' L' ; [R' D R , U2]] (10) L - [y' ; [R' U2 R , D]] (8) M - [x ; [U L2 U' , R']] (8) N - [R2 , U' L' U] (8) O - [x ; [U L2 U' , R]] (8) Q - [R' ; [U2 , L' D L]] (10) S - [x' ; [L , U' R2 U]] (8) T - [D , R' U R] (8) U - [x' ; [L2 , U' R2 U]] (8) W - [x ; [R2 U R2 U' R2 , D2]] (12) X - [D ; [L2 , U R' U']] (10) [/SPOILER] [SPOILER=Q] C - [R' ; [L' D2 L , U2]] (10) D - [R2 ; [U , L' D2 L]] (10) F - [R' F ; [R' D' R , U2]] (12) G - [R' ; [R' D R , U2]] (9) H - [R' ; [L' D' L , U2]] (10) I - [x R ; [D2 , R U2 R']] (9) J - [R' ; [U2 , R' F' R2 F R]] (13) K - [y x' ; [R2 U R2 U' R2 , D2]] (12) L - [x R ; [D2 , R U' R']] (9) M - [R' ; [U2 , R' D' R]] (9) O - [x R' U ; [U L2 U' , R2]] (11) P - [R' ; [L' D L , U2]] (10) S - [R' ; [U2 , R' D2 R]] (9) T - [x R ; [D2 , R U R']] (9) U - [y x' ; [U2 , R' F' R2 F R]] (12) V - [R2 ; [U' , L' D2 L]] (10) W - [R2 ; [U2 , L' D2 L]] (10) X - [U2 R ; [R D' R' , U2]] (11) [/SPOILER] [SPOILER=S] B - [y' ; [U' , R D R']] (8) C - [R' D2 R , U2] (8) D - [y' ; [U , R D R']] (8) F - [y x' R ; [U2 , R D R']] (9) G - [y' ; [D , R U' R']] (8) I - [y x2 R ; [U' , R D2 R']] (9) J - [x' ; [L' , U R2 U']] (8) K - [D2 , R U2 R'] (8) L - [F' ; [D2 , R U2 R']] (10) M - [x' ; [U' R U , L]] (8) N - [U R U' , L] (8) O - [D2 ; [R U2 R' , D]] (9) P - [x' ; [U' R2 U , L]] (8) Q - [R2 , [D2 , R U2 R']] (9) T - [U R' U' , L] (8) U - [y R' ; [R' D2 R , U]] (9) V - [U R2 U' , L] (8) W - [R ; [D2 , R U2 R']] (9) [/SPOILER] [SPOILER=T] B - [y ; [R' D' R , U]] (8) C - [y' ; [R D' R' , U2]] (8) D - [L D2 L' , U'] (8) F - [y' R ; [R D' R' , U2]] (9) G - [R' y ; [U , R' D2 R]] (10) H - [R' U R , D'] (8) I - [L' , U R' U'] (8) J - [x ; [R2 , U' L U]] (8) K - [F ; [R' U R , D2]] (10) L - [R' U R , D2] (8) M - [D' x ; [U L2 U' , R']] (10) N - [x' y' R' ; [U2 , R' D' R]] (9) P - [R' U R , D] (8) Q - [x R ; [R U R' , D2]] (9) S - [L , U R' U'] (8) U - [y' R' ; [D' , R' U2 R]] (9) V - [z' ; [U , R' D2 R]] (8) X - [y' D R' ; [D2 , R' U2 R]] (13) [/SPOILER] [SPOILER=U] B - [z' ; [D2 , R U2 R']] (8) C - [D ; [R' F' R2 F R , U2]] (14) D - [z' x' R ; [R U2 R' , D2]] (9) F - [x' y' U' ; [R2 , U' L2 U]](9) H - [y' R' ; [R' U2 R , D2]] (9) I - [z x' R ; [U' , R D2 R']] (9) J - [z' ; [D2 , R U' R']] (8) K - [z' ; [D2 , R2 U R2 U' R2]] (12) M - [x' ; [U' R U , L2]] (8) N - [U R U' , L2] (8) O - [x ; [L2 , U' R U]] (8) P - [x' ; [U' R2 U , L2]] (8) Q - [y x' ; [R' F' R2 F R , U2]] (12) S - [y R' ; [U , R' D2 R]] (9) T - [y' R' ; [R' U2 R , D']] (9) V - [U R2 R' , L2] (8) W - [y' U' ; [R2 U R2 U' R2 , D2]] (14) X - [D ; [L2 , U R2 R']] (10) [/SPOILER] [SPOILER=V] B - [z' ; [U2 , R' D2 R]] (8) C - [R' F' R2 F R , U2] (12) D - [z' x' ; [R U2 R' , D2]] (8) F - [F ; [R' D R , U2]] (10) G - [z' x' ; [R U2 R' , D']] (8) H - [y' ; [L' , U' R2 U]] (8) I - [L' , U R2 U'] (8) J - [z' ; [R' D2 R , U']] (8) L - [R2 ; [U , R D2 R'] (9) M - [z' x' ; [R U2 R' , D]] (8) N - [y' ; [L , U' R2 U]] (8) O - [y' R2 ; [U' , R' D2 R]] (9) Q - [R2 ; [L' D2 L , U']] (10) S - [L , U R2 U'] (8) T - [z' ; [R' D2 R , U]] (8) U - [L2 , U R2 U'] (8) W - [D' ; [U R2 U' , L2]] (10) X - [U2 ; [R2 U R2 U' R2 , D2]] (14) [/SPOILER] [SPOILER=W] B - [z' R' ; [R' D2 R , U2]] (9) C - [D' ; [R' F' R2 F R]] (14) D - [z' x' ; [U2 , R' D2 R]] (8) F - [x' y' ; [R' F' R2 F R , U2]] (12) G - [R ; [R U2 R' , D]] (9) H - [L ; [U' , L D2 L']] (9) I - [x ; [D2 , R U2 R']] (8) J - [x ; [L U' L' , D2]] (8) K - [x ; [L U2 L' , D2]] (8) L - [x ; [D2 , R U' R']] (8) M - [z' x' ; [U2 , R' D R]] (8) N - [R ; [R U2 R' , D']] (9) P - [x ; [D2 , R2 U R2 U' R2]] (12) Q - [R2 ; [L' D2 L , U2]] (10) S - [R ; [R U2 R' , D2]] (9) U - [y' U' ; [D2 , R2 U R2 U' R2]] (14) V - [D ; [L2 , U R2 U']] (10) X - [D2 ; [U R2 U' , L2]] (10) [/SPOILER] [SPOILER=X] B - [z' R ; [D2 , R U2 R']] (9) C - [D2 ; [R' F' R2 F R , U2]] (14) D - [x' y' R' ; [U2 , R' D2 R]] (9) F - [z R' ; [R' F' R2 F R , U2]] (13) G - [z' R ; [D2 , R2 U R2 U' R2]] (13) I - [U' ; [U' R' U , L2]] (9) J - [z' R ; [D2 , R U' R']] (9) K - [U' ; [U' R U . L2]] (9) L - [z' R ; [D2 , R U R']] (9) M - [D x' ; [U' R U , L2]] (10) N - [x' y' R ; [R D R' , U2]] (9) O - [R D ; [U R' U' , L2]] (12) P - [D ; [U R' U' , L2]] (10) Q - [U2 R ; [U2 , R D' R']] (11) T - [y' D R' ; [R' U2 R , D2]] (13) U - [D ; [U R2 R' , L2]] (10) V - [U2 ; [D2 , R2 U R2 U' R2]] (14) W - [D2 ; [L2 , U R2 U']] (10) [/SPOILER] [/SPOILER] [SPOILER=Edges] [SPOILER=Key] Buffer: DF (U) UB = A UR = B UF = C UL = D LU = E LF = F LD = G LB = H FU = I FR = J FL = L RU = M RB = N RD = O RF = P BU = Q BL = R BD = S BR = T DR = V DB = W DL = X [/SPOILER] [SPOILER=A] B - C - D - E - F - G - H - I - J - L - M - N - O - P - R - S - T - V - W - X - [/SPOILER] [SPOILER=B] A - C - D - E - F - G - H - I - J - L - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=C] A - B - D - E - F - G - H - J - L - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=D] A - B - C - F - G - H - I - J - L - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=E] A - B - C - F - G - H - I - J - L - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=F] A - B - C - D - E - G - H - I - J - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=G] A - B - C - D - E - F - H - I - J - L - M - N - O - P - Q - R - S - T - V - W - [/SPOILER] [SPOILER=H] A - B - C - D - E - F - G - I - J - L - M - N - O - P - Q - S - T - V - W - X - [/SPOILER] [SPOILER=I] A - B - D - E - F - G - H - J - L - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=J] A - B - C - D - E - F - G - H - I - L - M - N - O - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=L] A - B - C - D - E - G - H - I - J - M - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=M] A - C - D - E - F - G - H - I - J - L - N - O - P - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=N] A - B - C - D - E - F - G - H - I - J - L - M - O - P - Q - R - S - V - W - X - [/SPOILER] [SPOILER=O] A - B - C - D - E - F - G - H - I - J - L - M - N - P - Q - R - S - T - W - X - [/SPOILER] [SPOILER=P] A - B - C - D - E - F - G - H - I - L - M - N - O - Q - R - S - T - V - W - X - [/SPOILER] [SPOILER=Q] B - C - D - E - F - G - H - I - J - L - M - N - O - P - R - S - T - V - W - X - [/SPOILER] [SPOILER=R] A - B - C - D - E - F - G - I - J - L - M - N - O - P - Q - S - T - V - W - X - [/SPOILER] [SPOILER=S] A - B - C - D - E - F - G - H - I - J - L - M - N - O - P - Q - R - T - V - X - [/SPOILER] [SPOILER=T] A - B - C - D - E - F - G - H - I - J - L - M - O - P - Q - R - S - V - W - X - [/SPOILER] [SPOILER=V] A - B - C - D - E - F - G - H - I - J - L - M - N - P - Q - R - S - T - W - X - [/SPOILER] [SPOILER=W] A - B - C - D - E - F - G - H - I - J - L - M - N - O - P - Q - R - T - V - X - [/SPOILER] [SPOILER=X] A - B - C - D - E - F - H - I - J - L - M - N - O - P - Q - R - S - T - V - W - [/SPOILER] [/SPOILER]