Intuitive Example Solve Thread

[bcube]

A thread in which 0 memorized move sequences are required during the whole solve. From Heise, through HTA to methods used in BLD and/or FMC. Not necessarilly only for a standard 3x3x3 cube.

Method: beginner Heise
Scramble: D2 R2 B2 L' R2 B2 R2 D' R2 F U B R2 D' B L' F' U2 F2 U' D2 R D' B U2



1-16: one layer minus one corner
17-29: first two layers minus one corner-edge pair
30-33: solving yellow-orange edge using working edge at FR position
34-42: solving yellow-red edge using working edge at FR position
43-49: solving yellow-green-orange and yellow-green-red corners using working corner at DFR position
50-58: solving yellow-blue-orange and yellow-blue-red corners using working corner at DFR position

 

[Filipe Teixeira]

Can I use intuitive f2l?

 

[Cubenovice]

Scramble: D2 R2 B2 L' R2 B2 R2 D' R2 F U B R2 D' B L' F' U2 F2 U' D2 R D' B U2

Do we need a new thread for this?
I'm a bit 50:50 on this because these solves could also be done in the regular 3x3x3 example thread.
But having them grouped is also nice....

In any case I suggest the solver adds a new scramble for the next person.

U' R' F L R' D' - EO line
U' L U2 L' R U2 R'
U L U2 L' U' L
L U' L' U2 R' U' R - XXXCross (with oriented edges)
U2 L U2 L' U' - place edges and leave 4 corners
U F U' B' U F' U' B - leave 3 corners
F D2 F' U F D2 F' U' - solved



When correcting for cancellations: 44 HTM

Can I use intuitive f2l?

Off course


Next scramble:
R' U' F D2 F2 L2 D2 F2 L B2 L2 R' D U F U2 L' F' L' B2 R F2 D R' U' F

 

[bcube]

Do we need a new thread for this?
I'm a bit 50:50 on this because these solves could also be done in the regular 3x3x3 example thread.
But having them grouped is also nice....

Personally, I don´t care about algoritmic solves, that´s why this thread was created (so that filtering from more general thread is not needed).

In any case I suggest the solver adds a new scramble for the next person.

I see, however, that won´t work e.g. for Square-1 . Or someone would like to show us how to intuitively solve this case for example:



I would suggest to use simulators as much as possible because:
a) not all readers know puzzle notation
b) not all readers have a physical puzzle to experiment with a given solution

 

[edward_9x]

Next scramble:
R' U' F D2 F2 L2 D2 F2 L B2 L2 R' D U F U2 L' F' L' B2 R F2 D R' U' F

z2 F' R U2 L B D //EOLine+1
L U2 R U R2 U L' U2 L' U' L' R' U R U' L' //ZZF2L-1
U2 R' U' R U' R' U R //Build two blocks on U
[R D R', U2] U //3C cycle

Next: U' L' D' B2 U L2 B2 F2 D' F2 U L2 U' L' D B L R U

 

[bcube]

//EOLine+1

What does +1 mean in this context, please? I can see after move 7 the EOLine is formed by the white-green and white-blue edges.

 

[edward_9x]

What does +1 mean in this context, please? I can see after move 7 the EOLine is formed by the white-green and white-blue edges.

It means a pair is already formed after the line solution. (commonly used to describe a planned pair/a preserved pair/a solution that pushes the pair up to the U layer/etc)

 

[bcube]

Next: U' L' D' B2 U L2 B2 F2 D' F2 U L2 U' L' D B L R U

Method: HTA



1-4: Edge orientation, move set {U,D,R,L,F,B}
5-33: Domino reduction, move set {U,D,R,L,F2,B2}
34-52: Half-turn reduction, move set {U,D,R2,L2,F2,B2}
53-66: Solve using half-twists, move set {U2,D2,R2,L2,F2,B2}

Next: U' L2 B D' B2 D' F B' L B2 R2 U L2 U L2 D' R2 F2 U' B2

 

[Cubenovice]

Next: U' L2 B D' B2 D' F B' L B2 R2 U L2 U L2 D' R2 F2 U' B2

D' B2 D2 F2 B' L' F R2 - pseudo 223 block
D F' - pseudo XXXcross
L B D' B' L' F L B D' B' D - XXXcross
L U L' U' L U L U' - leave 3 edges
B2 R set up to 3-cycle L2 F' B D2 F B' - undo set up R' B2




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

 

[Christopher Mowla]

I see, however, that won´t work e.g. for Square-1 . Or someone would like to show us how to intuitively solve this case for example:

(If you feel that any of the following 4 solutions doesn't conform to the criteria of this thread, let me know which, and I will happily remove them from this post.)

First explained in this video (Thread 1, Thread 2),

Method 1a:


Method 1b:


First shared in this post (nowhere near the same level of "intuitiveness" as Method 1, but the best I could come up with regarding a "linear solve"),

Method 2:



Method 3: (A combination of Methods 1 and 2)
Note: The move optimal algorithm for the OPP DOUBLE PARITY + 2 ADJACENT CENTER SWAP is 12 moves: r2 F2 U2 2R y' U' 2L U' R2 U 2L' 3d' r2 So this intuitive version is just 5 moves longer!

 

[bcube]

If you feel that any of the following 4 solutions doesn't conform to the criteria of this thread

I think they are fitting in nicely . Even though some of your examples are too advanced for me (which is no surprise considering I have no idea how you make pretty patterns on other puzzles in so low number of moves), a reader can always ask for a more detailed explanation if needed.

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

Method: Corners-First (slightly modified in first 6 moves)



1-6: solving blue corners
7-13: orienting green corners using "destroy & restore differently" technique + corner permutation skip
14-21: solving 2 edges (3 in total) in L layer
22-37: solving 4 edges in L layer
38-43: solving last edge in R layer
44-52: 3-cycle of edges in S layer
53-60: 3-cycle of edges in S layer

Next scramble: D R' F R2 F R U' R' L2 B' U2 L2 B2 L2 U F2 D B2 D' B2 U'

 

[Cubenovice]

Next scramble: D R' F R2 F R U' R' L2 B' U2 L2 B2 L2 U F2 D B2 D' B2 U'

Method EOEslice

U L2 D F' - EO
U R U2 R' U2 - Xcross
U' B D2 B' U - XX cross
D' L' D' L - XXX cross
D F L' F' L D L D L' D' - leave E layer edges and 3 corners
D2 U2 B2 D2 U2 F2 - edge swap
R F' R' B R F R' B' - corner cycle



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

 

[bcube]

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

1-14: solving one layer minus one corner
15-18: solving two layers minus one corner-edge pair
19-22: permuting edges in top layer
23-30: permuting yellow-orange-blue and yellow-orange-green corners
31-38: permuting remaining 3 corners
39-50: orienting remaining 2 edges
51-64: orienting remaining 2 corners
65-66: adjusting layers

Next scramble: B2 L2 B' D2 F' D2 F2 L2 R2 B' R B' D' L D2 B R F' U' L

 

[edward_9x]

Next scramble: B2 L2 B' D2 F' D2 F2 L2 R2 B' R B' D' L D2 B R F' U' L

z2 F' U B2 U2 B R' D' //EOLine
F2 R2 F2 L2 U' R U' R' U R L' U2 L U2 L2 U L2 //ZZF2L-1
z2 [u R u' R', D'] D2 //3P cyc

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

 

[Silky]

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

z2 L F R2 S2 R U' R' U R U2 R // Pseudo Columns
D R2 U' L2 U2 L2 M2 // Corners
U' M U' M D' S' U2 S' // EO + DL + DR
M2 U' M2 U M U2 M U2 M2 U2 D' // L5EP

Next: F2 R2 U2 L D2 L' U2 R' F2 R2 F2 D' L F U2 L' F R2 D2 F'

 

[Silky]

y' F2 D' R' L F' D // Pseudo 2x2x3
U2 R2 U Rw2 U' R2 U2 R' // DR
D2 U B2 R2 L2 D2 R2 F' B R2 F B' // 3c
L2 B R B' L2 B R' B' D2 // Solved

Next: R2 B D2 U2 R' U2 R' F2 U2 R' F2 U2 R F' R' U R2 B2 L' R'

 

[bcube]

y' F2 D' R' L F' D // Pseudo 2x2x3
U2 R2 U Rw2 U' R2 U2 R' // DR
D2 U B2 R2 L2 D2 R2 F' B R2 F B' // 3c
L2 B R B' L2 B R' B' D2 // Solved

Too advanced for me, I can only fully understand moves 28 - 36

Can you please explain your thought process for moves 1-27 in more detail? I don´t even understand what do you mean by Pseudo 2x2x3 block in moves 1-7. Then I don´t follow why did you switch to Domino Reduction in moves 8-15 and how that move sequence can be perceived intuitively. I can barely understand moves 16-27, can you explain your thought process behind them?

 

[Silky]

So, this method is called HSC.
Moves 1-6: Solves EO + 2 psuedo pairs (2 oriented corners + 2 E-slice edges in dL) + putting the remaining E-slice edges in DF and DB.
Moves 7-14: Solves CO into an H case OCLL and then inserts both E-slice edges between the corners creating 2 psuedo triples. Then you just solve the case. This finishes DR
Moves 15-26: Solves the rest of the cube in <R2 L2 U D F2 B2>. Standard blockbuilding until we get L3C

 

[Silky]

Here's the FMC solution:

L2 R2 D' L2 D R2 D' L2 F' B L' U2 // Corner insert + EO+ DR trigger (12)
D F2 U B2 D' F2 D2 F' // DR (8/20)
D U2 L2 F2 B2 U2 R L' U2 R' L // Edge insert (11/31)