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A unique phase method for a Rubik's Cube

sm

Member
Joined
Oct 6, 2013
Messages
44
I've found several videos about Morozov's method in English. Hope it'll be helpfull.

How to solve 2x2x2

3x3x3 (part 1)

3x3x3 (part 2)

How to solve big cudes
 

sm

Member
Joined
Oct 6, 2013
Messages
44
I've done my analysis for F2G method.
The manual - https://vk.com/doc185254069_483360440

We can do analysis and normalize all the corners using this principle.
We also can use this when the block 1*1*3 is solved and all other 6 corners flipped randomly.

Demo normalization of corners using this principle
 
Last edited:

sm

Member
Joined
Oct 6, 2013
Messages
44
I've made several demonstrations of solving using F2G principle of normalization and Morozov's method.
Hope it'll be useful.

White and Yellow are basic colors in all the reconstructions.
=================================
Scr 1: B R' F U2 F2 D F' D' F R' F D2
Sol:
U R2 // Yellow-Blue pair

// All the White corners in the Green side. All the Yellow corners in the Blue side

// Analyzing:
// Yellow-Green pair is correct
// White-Green pair is correct
// White-Blue pairis incorrect
// the case [3+1-]

F' // setup move
L D' L' // normalization of corners
(D2 F' D)(F' D2 F D2)(D F2 D F2)D // flipping of corners using Morozov's method
D2 F' D2 F D2 F' D2 F2 // solving of corners using Morozov's method

https://alg.cubing.net/?setup=B_R-_...-_D2_F_D2)(D_F2_D_F2)D D2_F-_D2_F_D2_F-_D2_F2
=================================
Scr 2: U' R' B' D2 R' B D2 B L F' R' D2
Sol:
U2 R2 // White-Blue pair
B U B2 // All the White corners in the Yellow side. All the Yellow corners in the White side

// Analyzing:
// White-Green pair is correct
// Yellow-Green pair is correct
// Yellow-Blue pair is incorrect
// the case [3+1-]

// not need setup move

R B' R' // normalization of corners
(B U2 B')(B2 U' B2)U(B2 U' B2)(B' U2 B' U2)B // flipping of corners using Morozov's method
B2 U B2 U// solving of corners using Morozov's method

https://alg.cubing.net/?setup=U-_R-...(B2_U-_B2)U(B2_U-_B2)(B-_U2_B-_U2)B B2_U_B2_U
=================================
Scr 3: L2 D' L D' F' R' F2 D L' U2 L R
Sol:
// Yellow-Blue pair is solved
F U2 // All the White corners in the Green side. All the Yellow corners in the Blue side

// Analyzing:
// Yellow-Green pair is incorrect
// White-Blue pair is correct and White-Green pair is correct. Or White-Red pair is correct and White-Orange pair is correct
// the case [3+1-]

U2 // setup move
R U' R' // normalization of corners
U'(U F2 U) F2 U // flipping of corners using Morozov's method
F2 U2 F U2 // solving of corners using Morozov's method

https://alg.cubing.net/?setup=L2_D-...lg=F_U2 U2 R_U-_R- U-(U_F2_U)_F2_U F2_U2_F_U2
=================================
Scr 4: R' F' U' R2 D' F B' R2 U R D' R2
Sol:
// White-Red pair is solved
R2 F // All the White corners in the Orange side. All the Yellow corners in the Red side

// Analyzing:
// White-Blue pair is incorrect
// Yellow-Green is correct
// Yellow-Blue is correct
// the case [2+2-]

R' // setup move
U F' U' // normalization of corners
(R F2 R F)(R2 F' R F)R(F' R2 F' R2 F') // flipping of corners using Morozov's method
R F2 R F2 // solving of corners using Morozov's method

https://alg.cubing.net/?setup=R-_F-...F2_R_F)(R2_F-_R_F)R(F-_R2_F-_R2_F-) R_F2_R_F2
=================================
Scr 5: R D2 L2 F L D' R2 B' L' F' R' L
Sol:
F' // Yellow-Blue pair
L U // All the White corners in the Orange side. All the Yellow corners in the Red side

// Analyzing:
// Yellow-Green is correct
// White-Red is correct
// White-Orange is incorrect
// the case [3+1-]

L // setup move
F U' F' // normalization of corners
U'(L' U' L U)L(U' L2 U' L2 U') // flipping of corners using Morozov's method
L U2 L U2 L' U2 // solving of corners using Morozov's method

https://alg.cubing.net/?setup=R_D2_...-(L-_U-_L_U)L(U-_L2_U-_L2_U-) L_U2_L_U2_L-_U2
=================================
Scr 6: U2 F B2 R' U' F R F L' D' B' D
Sol:
// Yellow-Orange pair is solved
L2 U' // All the White corners in the Orange side. All the Yellow corners in the Red side

// Analyzing:
// Yellow-Red is incorrect
// White-Blue pair is correct and White-Green pair is correct. Or White-Red pair is correct and White-Orange pair is correct
// the case [3+1-]

U2 // setup move
F U' F' // normalization of corners
(U L2 U')(U2 L' U2)(U' L2 U' L2 U) // flipping of corners using Morozov's method
L U2 L U2 // solving of corners using Morozov's method

https://alg.cubing.net/?setup=U2_F_... (U_L2_U-)(U2_L-_U2)(U-_L2_U-_L2_U) L_U2_L_U2
 

sm

Member
Joined
Oct 6, 2013
Messages
44
How to solve corners using original Morozov's method.
White and Yellow are basic colors in all the reconstructions.
=================================
Scr 1: B R' F U2 F2 D F' D' F R' F D2
Sol:
D2 R D D' R2 D' R2 D' // flipping of corners. All the basic colors in the Orange and Red sides
L B2 L B2 // sorting of Yellow and White
// Analyzing:
// W-G pair is solved
// W-B is not solved
// Y-G is solved
// Y-B is solved
// the case [3+1-]
D2 B2 D2 // to the case [1+3-]
(U2 R' U2 R U2)R'(U2 R U2) // solving of corners

https://alg.cubing.net/?setup=B_R-_...L_B2_L_B2 D2_B2_D2 (U2_R-_U2_R_U2)R-(U2_R_U2)
=================================
Scr 2: U' R' B' D2 R' B D2 B L F' R' D2
Sol:
(D R2)(R' D' R)D'(R' D2 R' D2 R) // flipping of corners. All the basic colors in the White and Yellow sides
U' R2 // sorting of Yellow and White
// Analyzing:
// all the pairs are not solved
// the case [0+4-]
B2 R2 B2 // to case [4+0-]. The corners are solved

https://alg.cubing.net/?setup=U-_R-..._R2)(R-_D-_R)D-(R-_D2_R-_D2_R) U-_R2 B2_R2_B2
=================================
Scr 3: L2 D' L D' F' R' F2 D L' U2 L R
Sol:
D'(B' L' B)(U2 L2 U) // flipping of corners. All the basic colors in the Orange and Red sides
R2 U2 R' U2 // sorting of Yellow and White
// Analyzing:
// Y-G pair is solved
// Y-B is not solved
// W-O is solved
// W-R is not solved
// the case [2+2-]
(L F2)(L' F2)(L F2) // lock Y-B pair and solving W-R pair
(U2 R')(U2 R U2)R2 // lock W-R pair and solving Y-B pair

https://alg.cubing.net/?setup=L2_D-..._R-_U2 (L_F2)(L-_F2)(L_F2) (U2_R-)(U2_R_U2)R2
=================================
Scr 4: R' F' U' R2 D' F B' R2 U R D' R2
Sol:
(R' F')(D2 R' D2)(D' R2 D' R2 D) // flipping of corners. All the basic colors in the Orange and Red sides
R' B2 R' B2 // sorting of Yellow and White
// Analyzing:
// Y-B is solved
// Y-G is not solved
// W-O is solved
// W-R is not solved
// the case [2+2-]
(L' F2 L')(F2 L F2) // lock Y-G pair and solving W-R pair
(U2 R' U2)(R U2) // lock W-R pair and solving Y-G pair

https://alg.cubing.net/?setup=R-_F-...B2_R-_B2 (L-_F2_L-)(F2_L_F2) (U2_R-_U2)(R_U2)
=================================
Scr 5: R D2 L2 F L D' R2 B' L' F' R' L
Sol:
B(R' D2 R' D2 R) // flipping of corners. All the basic colors in the White and Yellow sides
D2 B2 // sorting of Yellow and White
// Analyzing:
// Y-G is solved
// Y-B is not solved
// W-G is solved
// W-B is not solved
// the case [2+2-]
(B2 U B2)(U' B2) // lock Y-B pair and solving W-B pair
(R2 D R2)(D' R2)D' // lock W-B pair and solving Y-B pair

https://alg.cubing.net/?setup=R_D2_..._R) D2_B2 (B2_U_B2)(U-_B2) (R2_D_R2)(D-_R2)D-
=================================
Scr 6: U2 F B2 R' U' F R F L' D' B' D
Sol:
B'(B2 L B2)(B L2 B)(L2 B) // flipping of corners. All the basic colors in the Orange and Red sides
(R U2)(R' U2) // sorting of Yellow and White
// Analyzing:
// Y-G, Y-B, W-B are solved. Or Y-O, Y-R, W-B are solved.
// W-G is not solved
// the case [3+1-]
B2 D2 B2 // to the case [1+3-]
(F2 R' F2)(R F2)(R' F2 R F2)R // lock W-G and solving all the corners

https://alg.cubing.net/?setup=U2_F_...R-_U2) B2_D2_B2 (F2_R-_F2)(R_F2)(R-_F2_R_F2)R
 

sm

Member
Joined
Oct 6, 2013
Messages
44
How to solve corners using original Morozov's method when corners normalization is first step.
White and Yellow are basic colors in all the reconstructions.
=================================
Scr 1: B R' F U2 F2 D F' D' F R' F D2
Sol:
R' D2 // All the White corners into the Blue side. All the Yellow corners into the Green side
// Analyzing:
// Y-B pair is correct
// Y-G is incorrect
// W-B and W-G are correct. Or W-R and W-O are correct
// the case [3+1-]. We can get [1+3-] but we try to use another principle here
(R' F2 R)F(R F2) // lock W-O pair and solve Y-G on the R side. The R side is top now
L' D2 L D2 L2 D' // lock Y-G pair and flipping all the corners using Morozov's method
L D2 L D2 L' D2 // lock Y-G pair and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=B_R-_...F2_R)F(R_F2) L-_D2_L_D2_L2_D- L_D2_L_D2_L-_D2
=================================
Scr 2: U' R' B' D2 R' B D2 B L F' R' D2
Sol:
B U B2 // All the White corners into the Yellow side. All the Yellow corners into the White side
// Analyzing:
// Y-G and Y-B are correct. Or Y-O and Y-R are correct
// W-R is correct
// W-O is incorrect
// the case [3+1-]
F2 R2 F2 // exchange to the case [1+3-]. W-O is fully solved. It's good because not need to solve it
(U' L2)(U L2)(U' L2)(U L2 U' L2)(L' U2 L')(U2 L U' L2) // lock W-O and flipping all the corners using Morozov's method
U L2 U' L2 U2 // lock W-O and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=U-_R-...L2_U-_L2)(L-_U2_L-)(U2_L_U-_L2) U_L2_U-_L2_U2
=================================
Scr 3: L2 D' L D' F' R' F2 D L' U2 L R
Sol:
D L' D' // All the White corners into the Red side. All the Yellow corners into the Orange side
// Analyzing:
// W-O is correct
// W-R is incorrect
// Y-O is correct
// Y-R is incorrect
// the case [2+2-]. Try to use another principle here
R2(F' R2 F R')(F R2) // lock Y-O and solving W-O on the Green side using only R and F moves. The Green side is the top side now
U2(U2 B' U2)(B U2 B' U2)(U' B2 U' B2 U') // lock W-O and flipping all the corners using Morozov's method
B U2 B' U2 B U2 B' U2 // lock W-O and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=L2_D-..._B-_U2)(U-_B2_U-_B2_U-) B_U2_B-_U2_B_U2_B-_U2
=================================
Scr 4: R' F' U' R2 D' F B' R2 U R D' R2
Sol:
U' // All the White corners into the Orange side. All the Yellow corners into the Red side
// Analyzing:
// W-B is correct
// W-G is incorrect
// Y-G and Y-B are incorrect
// the case [1+3-]
(D L' D L D') L D2 // solving W-B using D and L moves. Y-O is locked
(R' F' R F2)(F2 R2 F) // lock W-B and flipping all the corners using Morozov's method
F2 R' F2 R F2 R' F2 R' F2 R2 // lock W-B and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=R-_F-...-_R_F2)(F2_R2_F) F2_R-_F2_R_F2_R-_F2_R-_F2_R2
=================================
Scr 5: R D2 L2 F L D' R2 B' L' F' R' L
Sol:
L // All the White corners into the Green side. All the Yellow corners into the Blue side
// Analyzing:
// W-R and W-O are incorrect
// Y-G is correct
// Y-B is incorrect
// the case [1+3-]. Need to solve one correct pair (it's Y-G) using only B and R moves
(R B)(R2 B) // solving Y-G
L2(L2 U2 L) // lock Y-G and flipping all the corners using Morozov's method
U L2 U // lock Y-G and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=R_D2_L2_F_L_D-_R2_B-_L-_F-_R-_L&alg=L (R_B)(R2_B) L2(L2_U2_L) U_L2_U
=================================
Scr 6: U2 F B2 R' U' F R F L' D' B' D
Sol:
B // All the White corners into the Orange side. All the Yellow corners into the Red side
// Analyzing:
// Y-G is correct
// Y-B is incorrect
// W-G is correct
// W-B is incorrect
// the case [2+2-]. Solve it using Morozov's way
L F' L F' L' F' L' F2 // lock the Y-B and solving W-B
(D R' D2)(D2 R2 D) // lock Y-B and flipping all the corners using Morozov's method
R D2 R2 // lock Y-B and solving all the corners using Morozov's method

https://alg.cubing.net/?setup=U2_F_...-_L_F-_L-_F-_L-_F2 (D_R-_D2)(D2_R2_D) R_D2_R2
 
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