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Intuitive Example Solve Thread

Next scramble: R' B' L' U F2 L U' B L2 D L2 U2 L2 F2 U2 B R2 U2 F2


B U2' F2' L2 F' U2' R2 D' //EOLine+1 (8/8)
R' U2 (M2 x2) //Square (3/11)
U R U2 L //Pair (4/15)
U2 R U' R //I wanted to solve the RBY square (4/19)
U (S' U2 S U2) R U2 R2 U //But this got me to 2c3e, and instead of U perm I did a 4 move insertion (9/28)
[R2: [(D' R' D R)2, U']] //And it was going so well... (20/48)
 
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The scramble is missing so I will use previous one.

Scramble: R' B' L' U F2 L U' B L2 D L2 U2 L2 F2 U2 B R2 U2 F2

Not entirely intuitive method I guess, the "algorithms" are following:
  • corner orientation: R U2 R U2 R (case1) and R2 U2 R (case2)
  • edge orientation: R2 U M U' R2 U M' U' (technically, the first R2 is a setup move - then the sequence has a form of first 3 moves changing the orientation of one edge, swap, undoing/inverse moves. Another example with the same form: R' E R' U2 R E' R)
  • edge permutation: R2' F2 R2 (alternatively, you can experiment with M' U2 M, a shortcut for 4 misplaced stickers is M2)
  • "parity fix" (corner permutation) : case1 y2 case1 or (R U2) (R2' F2 R' F2) case2 (the latter algorithm has a form of first 4 setup moves, fix, undoing/inverse moves. Apostrophes/primes are not needed: (R U2 R2 F2) R (F2 R2 U2 R). The former algorithm can work the same way: (R U2 L' U2 R') U2 (R U2 L U2 R') - first 5 moves are setup moves, then fix, then undoing setup moves. Case1 x case1 is better than case1 y2 case1 in that is doesn´t misplace any edge stickers after applying it. While (R U2 R2 F2) R (F2 R2 U2 R) is misplacing 2 edge stickers, R U2 R2 F2 R F2 R2 F2 U2 R doesn´t misplace any edge stickers.)
Method: face by face

1 - setup move
2 - orienting 3/4 of white corners
3-4: setup moves
5-7: orienting remaining white corners, Guimond style
8-9: setup moves
10-12: orienting 2 white edges
13: setup move
14-16: orienting 2 white edges
17: setup move
18-24: orienting remainig white edge, white face is complete
25: setup move
26: orienting 4 green corners (on B)
27-28: setup moves
29-31: orienting remaining 4 green corners
32-33: setup moves
34-41: orienting 2 green edges
42-43: setup moves
44: another setup move, now these edges need to be swapped: UR with DR, UL with DL, UB with DB
45: another setup move
46-48: UF and DF swap
49: setup move
50-51: UF and DF swap (it should end with R2, however, this move can be cancelled out due to subsequent UB and DB swap)
52: setup move
53-54: UF and DF swap
55: undoing setup move, green face is complete

56-59: setup moves
60-70: "parity fix"
71-72: setup moves to restore green and blue faces
73-75: restoring green and blue faces
76-78: solving yellow corners
79-85: solving yellow edges, yellow face is complete
86-87: solving blue corners
88-92: solving 2 blue edges
93-94: setup moves
95-97: solving remaining blue edge
98-101: restoring yellow and blue faces (after U2, however, this move can be cancelled out due to subsequent swap of red edges)
102-104: solving red face edges



All in all, face by face is a fun solving approach. Another fun solving approach is using only half-turns after "parity fix" - no new "algorithms" needed.

Next scramble: F B2 U' D R' D B2 U' R' F' L2 U2 L2 B R2 F D2 F' L2 B
 
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Next scramble: F B2 U' D R' D B2 U' R' F' L2 U2 L2 B R2 F D2 F' L2 B


R L F' U r2 U S' U' S //NM223
L' U' L R U R' //NMEO
y' U R U' R' U2 R2 U' R' U2 R' //NMAB5C
U' R' D' R U' R' D R U' R' D R U' R' D' R //Spammy RUD comms
L2 U R U' L U R' U' L2 //Niklas counts as intuitive

Next: R' U' B' R2 F D2 R2 F L2 U2 F D2 L2 R' B L B' L2 D'
 
Next: R' U' B' R2 F D2 R2 F L2 U2 F D2 L2 R' B L B' L2 D'

Method: 3-color cube reduction -> half-turn reduction -> finish using half-turns only



PART 1: 3-color cube reduction

1: orienting 3/4 of green face corners
2-3: setup moves
4-6: orienting remaining green corners, Guimond style
7-9: setup moves
10-12: orienting 2 green edges
13-16: orienting 1 green edge
17-18: setup moves
19-21: orienting remaining green edges, green face is complete
22: orienting 4 white corners
23: setup move
24-26: orienting remaining white corners
27-28: setup moves
29-36: orienting 2 white edges
37-39: setup moves for swapping UR and DF edges
40-44: edge swap, white face is complete

PART 2: half-turn reduction

45-46: setup moves
47-55: "parity fix", LU and RF edges need to be swapped
56-61: edge swap
62-65: solving corners
66-67: setup moves
68-75: 3-cycle of edges
76-82: 2 2-cycles of edges
83-90: 3-cycle of edges

Next scramble: R2 F D2 F' U D' R' L' B U' R2 F R2 L2 F D2 L2 F2 B' L2 F
 
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