This is NOT for speed up. try to build & understand the formula
there are many methods to solve the cube.
layer by layer / cross,F2L,OLL,PLL / corners first / edges first / columns first / 8355 / ...
these methods can solve the cube, but you have to learn the formulas. but most formulas not easy to understand.
e.g. the common method cross,F2L,OLL,PLL. cross & F2L formulas are easy,
and many people can solve the first 2 layers without formulas.
but OLL & PLL not easy to understand, and I forget after few months.
I have find for a long time & found this method (but I lost the bookmark) & forget some formulas
but I remember the conept & try to rebuild the formulas.
Basic Move:
X: L M R
Y: U E D
Z: F S B
Method:
step 1: try to made some change on one side, e.g. exchange two edge on side U with S M D' M' D2 S'
step 2: try to change that side, e.g. U
step 3: reverse step 1, S D2 M D M' S'
step 4: reverse step 2, U'
|
vs |
|
| S M D' M' D2 S' | S D2 M D M' S' | |
| Demo | Demo |
Concept:
Any change can be undo with the reverse moves. e.g. S M D' M' D2 S' -> S D2 M D M' S' / L R U D F B -> B' F' D' U' R' L'
Without step 2 & 4, step 3 will undo ALL change from step 1
step 2 change one side, then step 3 will undo other sides change
on that side, if step 1 exchange two corners, then step 3 will exchange another two corners
try & find the formulas:
First, on the same side:
change the side U & use other sides as working area
exchange two edges on side U:
move: disconnect & connect
S disconnect side S from U
M disconnect side M from U
D' disconnect edge(white X) from side S & connect to side M
M' connect side M to U
D2 connect edge(black X) to side S
S' connect side S to U
Demo S M D' M' D2 S'
Demo (S M D' M' D2 S') U (S D2 M D M' S') U'
Demo (S M D' M' D2 S') U' (S D2 M D M' S') U
Demo (S M D' M' D2 S') U2 (S D2 M D M' S') U2
exchange two corners on side U:
F disconnect side F from U
D disconnect corner(black X)
F' connect side F to U
L disconnect side L from U
D2 disconnect corner(white X) & connect corner(black X) to side L
L' connect side L to U
F disconnect side F from U
D' connect corner(white X)
F' connect side F to U
Demo F D F' L D2 L' F D' F'
Demo (F D F' L D2 L' F D' F') U (F D F' L D2 L' F D' F') U'
Demo (F D F' L D2 L' F D' F') U' (F D F' L D2 L' F D' F') U
Demo (F D F' L D2 L' F D' F') U2 (F D F' L D2 L' F D' F') U2
use two formulas exchange edges & corners:
Demo (S M D' M' D2 S') (F D F' L D2 L' F D' F') U (F D F' L D2 L' F D' F') (S D2 M D M' S') U'
adjust the edge formula to exchange another edges
Demo (S M' D M D2 S') (F D F' L D2 L' F D' F') U (F D F' L D2 L' F D' F') (S D2 M' D' M S') U'
* just for fun
D2 / E2 will made the side 180o change. It can use to exchange corner or edge.
exchange two corners(opposite) on side U:
L R move two corners from side U to D, D2 exchange, L' R' move corners back
Demo
L R D2 R' L'
Demo
(L R D2 R' L') U (L R D2 R' L') U'exchange two opposite corners
Demo
(L R D2 R' L') U' (L R D2 R' L') Uexchange two opposite corners
Demo
(L R D2 R' L') U2 (L R D2 R' L') U2nothing change
exchange two corners(beside) on side U:
like above sample, before R use U' to move another corner to exchange
Demo L U' R D2 R' U L'
Demo (L U' R D2 R' U L') U (L U' R D2 R' U L') U' exchange three corners
Demo (L U' R D2 R' U L') U' (L U' R D2 R' U L') U exchange three corners
Demo (L U' R D2 R' U L') U2 (L U' R D2 R' U L') U2 exchange two beside corners
exchange two edges(opposite) on side U:
like above sample, use E2 to exchange edge
Demo L R E2 R' L'
Demo (L R E2 R' L') U (L R E2 R' L') U'
exchange two edges(besite) on side U:
Demo L U' R E2 R' U L'
Demo (L U' R E2 R' U L') U (L U' R E2 R' U L') U'
Demo (L U' R E2 R' U L') U' (L U2 R E2 R' U L') U
Demo (L U' R E2 R' U L') U2 (L U2 R E2 R' U L') U2
exchange two corners & edges(besite) on side U:
Demo L U' R E2 D2 R' U L'
Demo L U' R E2 D2 R' U L' U L U' R D2 E2 R' U L' U'
turn one corner on side U #1:
use side R (R/R') to turn the corner
R' move the corner from side U to D
D disconnect the corner & edge and move the corner from side F to B
R turn the corner and move from side B to F
D' move the corner from R to L wait for the edge
R' move the edge to wait for the corner
D move the corner to connect the edge
R move the corner back to side U
Demo R' D R D' R' D R
Demo (R' D R D' R' D R) U (R' D' R D R' D' R) U'
Demo (R' D R D' R' D R) U' (R' D' R D R' D' R) U
Demo (R' D R D' R' D R) U2 (R' D' R D R' D' R) U2
turn one corner on side U #2 / Megaminx turn corner:
like above sample, use two side R F (RF / F'R') to turn the corner, disconnect the corner from edge(UR/UF) & connect to edge(UF/UR)
Demo R' D R F D F'
Demo (R' D R F D F') U (F D' F' R' D' R) U'
turn one corner on side U #3 / Pyraminx turn edge / Megaminx turn corner:
use D2 to disconnect from side R & connect to side F
Demo R' D2 R F D2 F'
Demo (R' D2 R F D2 F') U (F D2 F' R' D2 R) U'
F D' R F2 R' F'
turn two corners on side U #1:
Demo F D B' D2 F' D B
Demo (F D B' D2 F' D B) U2 (B' D' F D2 B D' F') U2
turn two corners on side U #2:
Demo F D B' D2 F' B D B' D' B
Demo (F D B' D2 F' B D B' D' B) U' (B' D B D' B' F D2 B D' F') U
Demo (F D B' D2 F' B D B' D' B) U (B' D B D' B' F D2 B D' F') U'
Demo (F D B' D2 F' B D B' D' B) U2 (B' D B D' B' F D2 B D' F') U2
turn two corners on side U #3:
Demo F D' F' D B' F D2 F' D B
Demo (F D' F' D B' F D2 F' D B) U' (B' D' F D2 F' B D' F D F') U
Demo (F D' F' D B' F D2 F' D B) U (B' D' F D2 F' B D' F D F') U'
Demo (F D' F' D B' F D2 F' D B) U2 (B' D' F D2 F' B D' F D F') U2
turn one edge on side U #1:
Demo S D2 S' D' S D S'
Demo (S D2 S' D' S D S') U' (S D' S' D S D2 S') U
turn one edge on side U #2:
Demo S D2 S' R' E' R
Demo (S D2 S' R' E' R) U' (R' E R S D2 S') U
turn one edge on side U #3:
Demo R E2 R2 E R
Demo (R E2 R2 E R) U' (R' E' R2 E2 R') U
R2 F B' D F' S D' S' D2 B
turn one edge on side E:
Demo R F' U R' F
Demo (R F' U R' F) E (F' R U' F R') E'
above formulas can solve 2x2x2 & 3x3x3 cube
these just some basic formulas, try to find more...
above formulas change one side only.
try made some adjustment before & use the reverse moves after the formula to undo the adjustment
the adjustment may made the formula more flexible
Method:
step 0: try to made some change, e.g. R D
step 1: try to made some change on one side
step 2: try to change that side
step 3: reverse step 1
step 4: reverse step 2
step 5: reverse step 0, e.g. D' R'
exchange corner:
Demo B' ( (L U' R D2 R' U L') U (L U' R D2 R' U L') U' ) B
Demo B ( (L U' R D2 R' U L') U (L U' R D2 R' U L') U' ) B'
Demo D' R' ( (L U' R D2 R' U L') U (L U' R D2 R' U L') U' ) R D
exchange edge:
Demo R2 ( (S M D' M' D2 S') U (S D2 M D M' S') U') R2
turn corner:
Demo B' ( (R' D R F D F') U2 (F D' F' R' D' R) U2 ) B
turn edge:
Demo F2 ( (R E2 R2 E R) U' (R' E' R2 E2 R') U ) F2
try to find more adjustment...
try to change on two sides...
exchange corners
Demo R D2 R'
Demo (R D2 R') U' (R D2 R') U
Demo L ( (R D2 R') U' (R D2 R') U ) L'
* adjustment L made change on same side, it use fewer moves to exchange corners
exchange edges
Demo R E2 R'
Demo (R E2 R') U' (R E2 R') U
Demo L ( (R E2 R') U' (R E2 R') U ) L'
exchange corners & edges
Demo R E2 D2 R'
Demo (R E2 D2 R') U' (R E2 D2 R') U
Demo L ( (R E2 D2 R') U' (R D2 E2 R') U ) L'
exchange another corner / Pyraminx exchange edge / Megaminx exchange corner
Demo R' D' R
Demo (R' D' R) U' (R' D R) U exchange 3 corners
Demo (R' D' R) U (R' D R) U' exchange 3 corners
Demo (R' D' R) U2 (R' D R) U2 exchange 3 corners
exchange another edge
Demo M D' M'
Demo (M D' M') U (M D M') U'
Demo (M D' M') U' (M D M') U
move one side from side F to U
Demo M'
Demo (M') U2 (M) U2 - exchange 3 edges on side M
move one side from side D to U
Demo M2
Demo (M2) U2 (M2) U2 - exchange 4 edges on side M
turn center / 4+ cube move one center from side R to U
Demo M E' M'
Demo (M E' M') U (M E M') U'
try to find more ...
exchange three corners on side U(1,2) & side D(3) / Pyraminx exchange three edges / Megaminx exchange three corner:
target: 1 -> 2 -> 3 -> 1
step 1:
- step 1.1 move corner 1 from side U to D, e.g. F / F' / R / R' / L / L' / B / B'
- step 1.2: move corner 3 to corner 1, e.g. D / D' / D2
- step 1.3: reverse step 1.1
step 2: move corner 2 to corner 3, e.g. U / U' / U2
step 3: reverse step 1
step 4: reverse step 2
Demo (R' D R) U (R' D' R) U'
R' D R vs R' D' R vs R' D2 R vs F D F' vs F D' F' vs F D2 F'
six basic (L/L'/B/B' are same):
 | Demo | R' D R |
 | Demo | R' D' R |
 | Demo | R' D2 R |
 | Demo | F D F' |
 | Demo | F D' F' |
 | Demo | F D2 F' |
the orientation may be worng, try add adjustment (D / D' / D2)
D (R' D R)
D' (R' D R)
D2 (R' D R)
D (R' D' R)
D' (R' D' R)
D2 (R' D' R)
...
try adjustment (R' D2 R D'/ R' D R / F' R')
R' D' R vs F D F' vs R' D2 R D' (F D2 F') / R' D R (F D2 F') / F' R' (L D' L') D>
exchange three corners with different orientation
 |
Demo (R' D' R) U' (R' D R) U |
 |
Demo L' ( (R' D' R) U2 (R' D R) U2 ) L |
 |
Demo L2 B' ( (R' D' R) U2 (R' D R) U2 ) B L2 |
 |
Demo D' ( (R' D R) U' (R' D' R) U ) D
Demo (F D F') U' (F D' F') U |
 |
Demo L' D' ( (R' D R) U2 (R' D' R) U2 ) D L
Demo L' ( (F D F') U2 (F D' F') U2 ) L |
 |
Demo L2 B' D' ( (R' D R) U2 (R' D' R) U2 ) D B L2
Demo L2 B' ( (F D F') U2 (F D' F') U2 ) B L2 |
 |
Demo D2 B D ( (R' D2 R) U' (R' D2 R) U ) D' B' D2
Demo z' y F D2 ( (R' D' R) U2 (R' D R) U2 ) D2 F' y' z Demo D L2 ( (B' L' B) R2 (B' L B) R2 ) L2 D' |
 |
Demo D2 B L' D ( (R' D2 R) U2 (R' D2 R) U2 ) D' L B' D2
Demo D2 L' D ( (R' D' R) U2 (R' D R) U2 ) D' L D2 Demo z' y ( D2 F (R' D R) U2 (R' D' R) U2 ) F' D2 y' z Demo L2 D ( (B' L B) R2 (B' L' B) R2 ) D' L2 |
 |
Demo D2 B D' L2 B' D2 ( (R' D2 R) U2 (R' D2 R) U2 ) D2 B L2 D B' D2
Demo L D' L ( (R' D2 R) U2 (R' D2 R) U2 ) L' D L' Demo z' y F ( (R' D2 R) U2 (R' D2 R) U2 ) F' y' z Demo D ( (B' L2 B) R2 (B' L2 B) R2 ) D' |
exchange three centers:
Demo M E' M' E
turn the corners & edge on side U:
Demo move the black X to left white X & right white X
#1
Demo U' R U R'
Demo (U' R U R') y' x' - turn the while cube
Demo (U' R U R' y' x') x 3 - turn 3 corners & 2 edges
Demo (U' R U R' y' x') x 6 - turn 3 corners
#2
Demo (U' R U R') (R' F R F') (F' U F U')
Demo ( (U' R U R') (R' F R F') (F' U F U') ) x 2
#3
Demo U' Lw Bw U'
Demo (U' Lw Bw U') x 3
Demo (U' Lw Bw U') x 6
4+ cube turn edge:
(r-1 UU) x 5
R-1 UU l-1 UU r-1
* http://www.davidguo.idv.tw/Cube/revenge.html
* http://www.davidguo.idv.tw/cube/Crazy44.htm
Demo scramble
Demo Cross,F2L(3),Top(2x2),Top(2x3+last 2 edge),Last 3 corners
Demo F2L,Cross,Top
Demo Corners First
How to solve the Rubik's Cube?
https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-beginners-method/
https://rubiks-cube-solver.com/
https://rubiks-cube-solver.com/solution.php?cube=0111114131222222222313333333414444444555555555666666666
https://rubiks-cube-solver.com/solution.php?cube=0151111131222222222313333333444444444515555555666666666
http://affairs.ymhs.tyc.edu.tw/reheart/RC/th/math-method.htm
https://www.speedsolving.com/wiki/index.php/Corners_First
https://www.speedsolving.com/wiki/index.php/Edges_First
https://www.speedsolving.com/wiki/index.php/Columns_first
https://www.speedsolving.com/wiki/index.php/Roux_Method
https://www.speedsolving.com/wiki/index.php/Sexy_Method
https://www.ryanheise.com/cube/heise_method.html
https://www.ryanheise.com/cube/commutators.html
https://www.ryanheise.com/cube/last_three_corners.html
https://www.ryanheise.com/cube/corner_3_cycles.html
http://www.speedcubing.com/
http://www.rubik.com.cn/fridrich.htm
http://cube.rider.biz/
https://www.grubiks.com/puzzles/rubiks-revenge-4x4x4/
Google Rubik's Cube - L M R X - U E D Y - F S B Z
https://www.google.com/logos/2014/rubiks/iframe/index.html
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