Rubik's cube solving: advanced Fridrich method

• Introduction
  • Principles
  • Illustration
  • References
• Step 1: Form a white cross
  • edge up
    • edge in front, white sticker up
    • edge in front, white sticker in front
  • edge down, incorrect spin (white sticker not on face D)
    • edge down front, white sticker front
    • edge down left, white sticker left
    • edge down back, white sticker back
    • edge down right, white sticker right
  • edge on face D, correct spin (white on face D)
    • edge down right
    • edge down left
    • edge down back
  • edge on equator
    • edge equator front left, white sticker front
    • edge equator front left, white sticker left
    • edge equator front right, white sticker front
    • edge equator front right, white sticker right
    • edge equator back left, white sticker back
    • edge equator back left, white sticker left
    • edge equator back right, white sticker right
    • edge equator back right, white sticker back
• Step 2: First 2 Layers
  • evict a misplaced pair (corner, edge)
  • Corner down, Edge in equator
    • corner set, edge unset
    • corner spun clockwise, edge set
    • corner spun clockwise, edge unset
    • corner spun counterclockwise, edge set
    • corner spun counterclockwise, edge unset
  • Corner down, Edge up
    • corner set, edge front
    • corner set, edge right
    • corner spun clockwise, edge front
    • corner spun clockwise, edge right
    • corner spun counterclockwise, edge front
    • corner spun counterclockwise, edge right
  • Corner up, Edge in equator
    • corner white front, edge set
    • corner white front, edge unset
    • corner white right, edge set
    • corner white right, edge unset
    • corner white up, edge set
    • corner white up, edge unset
  • Corner up, Edge up
    • Corner up with white on front, Edge up
      • edge front, top sticker like front center
      • edge front, top sticker like right center
      • edge left, top sticker like front center
      • edge left, top sticker like right center
      • edge back, top sticker like front center
      • edge back, top sticker like right center
      • edge right, top sticker like front center
      • edge right, top sticker like right center
    • Corner up with white on right, Edge up
      • edge front, top sticker like front center
      • edge front, top sticker like right center
      • edge left, top sticker like front center
      • edge left, top sticker like right center
      • edge back, top sticker like front center
      • edge back, top sticker like right center
      • edge right, top sticker like front center
      • edge right, top sticker like right center
    • Corner up with white on up, Edge up
      • edge front, top sticker like front center
      • edge front, top sticker like right center
      • edge left, top sticker like front center
      • edge left, top sticker like right center
      • edge back, top sticker like front center
      • edge back, top sticker like right center
      • edge right, top sticker like front center
      • edge right, top sticker like right center
• Step 3: Orient Last Layer
  • 4 unset corners
    • Hub: no edges (bi-symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
    • Cross Edge (bi-symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
    • Vertical line: 2 edges (symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
    • Horizontal line: 2 edges (symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
    • Chevron centered on C1: 2 edges (non symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
      • C12 counterclockwise, C34 counterclockwise
    • Chevron centered on C2: 2 edges (non symmetric)
      • C12 counterclockwise, C34 clockwise
      • C12 clockwise, C34 clockwise
      • C12 counterclockwise, C34 counterclockwise
  • 3 unset corners
    • Chicken: 2 edges (symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Slash: no edges (symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Cactus: 2 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Tetris: 2 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Drone: 4 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Square: 2 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Letter L: 2 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
    • Gallow: 2 edges (not symmetric)
      • C134 counterclockwise
      • C134 clockwise
  • 2 set corners
    • Butterfly: 4 edges (symmetric)
      • C1 counterclockwise
    • Dice 3 dots: 2 edges (symmetric)
      • C1 counterclockwise
    • Letter Z: 2 edges (symmetric)
      • C1 counterclockwise
    • Letter S: 2 edges (symmetric)
      • C1 counterclockwise
    • Letter V: no edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Tree: 4 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Paddle: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Squirrel: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Squirrel reverse: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Letter C: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Letter P: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Letter P reverse: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Letter T: 2 edges (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
    • Letter W (non symmetric)
      • C1 counterclockwise
      • C1 clockwise
  • all corners set
    • Dice 5 dots: 2 pairs of unset edges (symmetric)
      • 4 unset edges
    • Kite: 1 pair of opposite unset edges (not symmetric)
      • 2 opposite unset edges
    • Letter H: 1 pair of adjacent unset edges (symmetric)
      • 2 adjacent unset edges
• Step 3: Orient Last Layer (simplified)
  • edges
    • opll_line_H
    • opll_chevron
    • opll_point
  • 2 corners to orient
    • opll_butterfly_-+
    • counterclockwise
    • clockwise
  • 3 corners to orient
    • counterclockwise
    • clockwise
• Step 4: Permute Last Layer
  • 3 corner circular permutations
    • circular corners clockwise C2 fixed
    • circular corners counterclockwise C2 fixed
  • edge circular permutations
    • circular edges clockwise E2 fixed
    • circular edges counterclockwise E2 fixed
  • 2 binary swaps of 2 pairs of edges
    • swap opposite horizontal E1-E4, opposite vertical E2-E3
    • swap adjacent C2 centered E1-E2, adjacent C3 centered E3-E4
  • 2 binary swaps: a pair of adjacent corners and a pair of edges
    • swap adjacent horizontal C1-C3, opposite vertical E2-E3
    • swap adjacent horizontal C1-C3, opposite horizontal E1-E4
    • swap adjacent horizontal C1-C3, adjacent C1 centered E1-E3
    • swap adjacent horizontal C1-C3, adjacent C2 centered E1-E2
    • swap adjacent horizontal C1-C3, adjacent C3 centered E3-E4
    • swap adjacent horizontal C1-C3, adjacent C4 centered E2-E4
  • 2 ternary permutations: Corner and edge
    • circular clockwise corners C2 fix, counterclockwise edges E1 fixed
    • circular counterclockwise corners C2 fix, clockwise edges E1 fixed
    • circular clockwise corners C2 fix, counterclockwise edges E2 fixed
    • circular counterclockwise corners C2 fix, clockwise edges E2 fixed
  • 2 binary swaps: a pair of opposite corners and a pair of edges
    • swap opposite C3-C2, adjacent C1 centered E1-E3
    • swap opposite C3-C2, adjacent C3 centered E3-E4
    • swap opposite C3-C2, opposite vertical E2-E3
    • swap opposite C3-C2, opposite horizontal E1-E4
  • 2 binary swaps: 2 pairs of corners
    • swap adjacent horizontal C1-C3, adjacent horizontal C2-C4
• Step 4: Permute Last Layer (simplified)
  • corners
    • swap 2 adjacent on front
    • swap 2 opposite front right back left
  • edges
    • circular edges clockwise F fixed
    • circular edges counterclockwise F fixed
    • swap EF and GH
    • swap 2 orthogonal pairs
• Annexe 1: Permutation Notation
  • Faces
    • right face clockwise
    • left face clockwise
    • up face clockwise
    • down face clockwise
    • fron face clockwise
    • back face clockwise
  • Slices
    • slice between right and left, following left face
    • slice between up and down, following down face
    • slice between front and back, following front face
  • Stacked faces and slices
    • stack of middle slice and right face
    • stack of middle slice and left face
    • stack of equator slice and up face
    • stack of equator slice and down face
    • stack of standing slice and front face
    • stack of standing slice and back face
  • Reorientation of the entire cube
    • full cube following right face
    • full cube following up face
    • full cube following front face
• Annexe 2: Summary of Algorithms
• Annexe 3: Summary of Algorithms (simplified)

version of 2021/05/03

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