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Here are some notes and links useful for solving a Rubik’s cube.

24-07-26: My current fastest solve is 28.39s (full step), 27.52s (OLL skip), 35.45s (ao5), 38.09s (ao12).

Algorithms

  • F2L (these should be solved intuitively; refer to special cases tho)
  • 2LOLL
  • 2LPLL
  • PLL (kinda advanced, 21 algorithms)
  • OLL (advanced)

PLL

This is what you do when you have the yellow square (last step of CFOP). It's missing Ua, Ub, Z and H since I know those already.

Highlights

Touching doubles

Ra (p.1/18)

  • (L U2 L' U2) L F' (L' U' L U) L F L2' U
  • HL left, double f/l, diff right, diff back.
  • HL(front) with double touching right.

Rb (p.1/18)

  • (R' U2 R U2') R' F (R U R' U') R' F' R2 U'
  • Double l/b, HL front, diff right, diff back.
  • HL(front) with double touching left.

Non-touching doubles

Ga (p.1/18)

  • R2 U (R' U R' U') (R U' R2) D U' (R' U R D') U
  • HL left, double f/r, diff right, diff back.
  • HL(left) with non-touching double on right.

Gc (p.1/18)

  • R2 U' (R U' R U) (R' U R2 D') (U R U' R') D U'
  • HL left, diff front, diff right, double b/r.
  • HL(left) with non-touching double on left.

Opposite doubles

Gb (p.1/18)

  • (F' U' F) (R2 u R' U) (R U' R u') R2'
  • Diff left, double f/r, diff right, HL back.
  • HL(back) with lefty double opposite.

Gd (p.1/18)

  • (R U R') y' (R2 u' R U') (R' U R' u) R2
  • HL left, diff front, double r/b, diff back.
  • HL(left) with righty double opposite.
  • y' = rotate U' direction

Two of a kind

V (p.1/18)

  • (R' U R' U') y (R' F' R2 U') (R' U R' F) R F
  • Double l/b, double f/l, diff right, diff back.
  • Two doubles in corner with no HL.
  • y = rotate U direction

Y (p.1/18)

  • F (R U' R' U') (R U R' F') (R U R' U') (R' F R F')
  • Diff left, double f/l, double r/t, diff back.
  • Two diverged doubles (front, right) and two diff.

HL with Corner doubles

Aa (p.1/18)

  • x (R' U R') D2 (R U' R') D2 R2 x'
  • Double l/b, double f/l, diff right, HL back.
  • HL(back) with two doubles (front, left) in corner.
  • x = rotate R direction (turn away / face bottom)

Ab (p.1/18)

  • x R2 D2' (R U R') D2' (R U' R) x'
  • Double l/b, double f/l, HL right, diff back.
  • HL(right) with two doubles (front, left) in corner.
  • x = rotate R direction (turn away / face bottom)

HL with touching doubles

T (p.1/18)

  • (R U R' U') (R' F R2 U') R' U' (R U R' F')
  • HL(left) with two doubles touching.

Three of a kind

Ja (p.1/18)

  • (L' U' L F) (L' U' L U) (L F' L2' U) L U
  • Full(right) and three doubles. Lefty front double.

Jb (p.1/18)

  • (R U R' F') (R U R' U') (R' F R2 U') R' U'
  • Full(left) and three doubles. Righty front double.

F (p.1/18)

  • (R' U' F') (R U R' U') (R' F R2 U') (R' U' R U) (R' U R)
  • Full(left) and three diff.

Four of a kind

E (p.1/36)

  • x' (R U' R' D) (R U R' D') (R U R' D) (R U' R' D') x
  • Diff all, parallel corners match.
  • x' = rotate R direction (turn towards / face top)

Na (p.1/72)

  • (R U R' U) (R U R' F') (R U R' U') (R' F R2 U') R' U2 (R U' R')
  • Double l/b, double f/r, double r/t, double b/l.
  • Four doubles (righty).

Nb (p.1/72)

  • (R' U R U') (R' F' U' F) (R U R' F) R' F' (R U' R)
  • Double l/t, double f/l, double r/b, double b/r.
  • Four doubles (lefty).

Cube Rotations

  • x follows R
  • y follows U
  • z follows F

Resources

Slice moves (moving the central row/col)

  • M follows L
  • E follows D
  • S follows F