Minimum Formula for 3X3X3 Rubik Cube Solution Part 2 - Last Layer Permutation

SOLVING LAST LAYER OF RUBIK CUBE 3x3x3WITH MINIMUM NUMBER OF FORMULA.

This Article; Minimum Formula For 3X3X3 Rubik Cube Solution Part 2 - Last Layer Permutation focus on

1. How to solve the cube without involving the rotation of B, CC and SS.2. Last Layer solution for beginners3. To make learners understand without difficulty.

1. 0 PERMUTATION / MOVEMENT OVERVIEW.

I use the Red Face as Front Face - the surface alwaysfacing you while making rotation/permutation.

U U’ ( Ui )

R R’ ( Ri).

L L’ ( Li ).

F F’ ( Fi ).

B B’ ( Bi ).

D D’ ( Di ).

M M’ ( Mi ).

S S’ ( Si ).

E E’ ( Ei ).

( DE) ( D’E’ )

2. 0 SOLUTION TIPS FOR FIRST LAYER.

I will not give you the specific formula to solve the first layer ( D ) but the following tips may useful for you. ( We focus on third layer )

2.1 Define your base colour; white for example.

2.2 Match one of edges; lets say green and white

2.3 Match the center piece of E (green) with the correct edge ( green-white).That means we lock the E to put the all center pieces of E in correct position.

2.4 Make “PLUS” white of the base.The other side of this cube look like this.

2.5 Permutate the corner of base (green-red-white).

2.6 Permutate all of the corners to put them in exact positions.

3. 0 SIMPLE SOLUTION TIPS OF SECOND LAYER.

The following tips may useful for you to solve the second layer; 1. Red face as F ( Front ) 2. Green face as F ( Front )

In this stage, I suggest you to use ( DE ) and ( D’E’ ) instead of F and F’

Problem Aim /Target Solution

1.

Use RED as F ( facing you )

U R U’ R’

(D’E’) L’ U L

Summary:

U R U’ R’ (D’E’) L’ U L

2.

Use GREEN as F ( facing you )

U’ F’ U F

(DE) R U’ R’

Summary:

U’ F’ U F (DE) R U’ R’

Notes : If you are confusing on my diagram, please refer to ( 1.0 ) above.

4.0 SOLVING THIRD LAYERAfter completing second layer you may get various thirds layer patterns. I categorize them as 1/9, 3/9, 4/9, and 9/9

In this stage, I provide you Formula instead of graphics illustration.

4.1 Stage 1 Category 1/9 State 1

Expected top layer patterns outcomes. , , , , ,

, ,

Each illustration above have basic pattern of 1/9 Category as the shown diagram below;

Target becomes

Concept & Cube Position

Red is must be F , always facing you )

Formula F U R U’ R’ F’

Permutation Use the above formula until you get the

Stage 2 Category 3/9 V or 3/9 I

Notes


Expected top layer patterns outcomes.

, , , , , ,

, , , , , ,


Target / Focus becomes or



Formula F U R U’ R’ F’

Permutation Use the above formula; F U R U’ R’ F’ and repeat this formula until you get the Stage 3 Category 4/9 Plus

Notes 1. You may use the above formula for many times.

2. But sometimes, unexpectedly, you will get the Stage 4 Category FISH.



, , , , , ,

, , ,


Target becomes or



Formula F R U R’ U’ F’

Permutation Use the above formula; F R U R’ U’ F’ and repeat this formula until you get the Stage 3 Category 4/9 Plus

Notes And at this stage, you may get the Stage 4 Category FISH. It’s wonderful!

4.4 Stage 2 Category 4/9 Plus

Expected top layer patterns outcomes

Type 1 :

,

Target becomes or


i) turn to

ii ) turn to

Red is always F , always facing you )

Important : At least one of match Colours always facing at you left hand side when you hold th cube.

Formula R U R’ U R UU R’

Permutation 1. You can repeat the formula above until you get the Target Stage 4 Category 6/9 as

You will get this pattern in any incorrect position.

So,Adjust it like this pattern and keep using

R U R’ U R UU R’ to reach the final categoryof 9/9.

Notes

4.5 Stage 2 Category 8/9


, ,

Target i) becomes

ii) becomes

iii) becomes


Remember, Red is always F , always facing you )

i) ii) iii)


Permutation Repeat the formula above until you get the Stage 4 Category 9/9

Notes

4.6 Stage 2 Category 6/9 FISH


i) ii)

Target i) becomes

ii) becomes


Red is always F , always facing you )


Permutation When this permutated using formula of

R U R’ U R UU R’ , you will get .

So, adjust the cube position as shown below;

Or which Red Face is F, and use

R U R’ U R UU R’ again to gain

Notes If you get different patterns as shown in (i) and (ii) but they are still 6/9 then simply use that formula ( R U R’ U R UU R’ ) again and again until you Come to pattern of (i) or (ii).

4.7 Stage 3 Category 9/9 Corners


Sometimes you will get; ( Make Green face as F , always facing you )

( A ) ( B )

or

Target

To make,


Based on illustration above, you must use the Green face as F, surface that always facing you instead of red face.

Formula L’ U R U’ L UU R’ U R UU R’

Permutation For (A ) you will use the formula twice, butFor (B) you just use the formula once.

Notes And at this stage, you may solve the Rubik cube. It’s fantastic!

4.8 Stage 4 (Final Stage) Category 9/9 Edges

Problem Solution / Permutation

Clockwise (+ve)

i)

ii)

Y(+ve) Formula : FF U L R’ FF L’ R U FF

i) Use Y (+ve) formula twice.

ii) Use Y (+ve) formula once.

Anti-Clockwise (-ve)

i)

ii)

Y (-ve) Formula : FF U’ L R’ FF L’ R U’ FF

i) Use Y (-ve) formula twice.

ii) Use Y (-ve) formula once.

MUM Formula ;

M2 U M2 U2 M2 U M2 ( can be read as Mx2 U M x2 U x2 M x2 U M x2 )

MUM Formula ;

M2 U M2 U M’ U2 M2 U2 M’ U2 ( can be read as Mx2 U M x2 U x2 M x2 U M x2 )

5. SUMMARY

5.1 Summary - The Aim Chart / Summary

Stage 1 or but

F U R U’ R’ F’ F R U R’ U’ F’

Stage 2 R U R’ U R UU R’

Stage 3

L’ U R U’ L UU R’ U R UU R’

FF U’ L R’ FF L’ R U’ FF

Stage 4

FF U L R’ FF L’ R U FF

MM U MM UU MM U MM

M2 U M2 U M’ U2 M2 U2 M’ U2

FINISH 5.2 Summary - List of Practical Minimum Formula (solution for 3rd Layer).

Briefs Formulae / Steps Diagrams

1. FUR F U R U’ R’ F’

2. FRU F R U R’ U’ F’

3. FISH (F) R U R’ U R UU R’

4. LR L’ U R U’ L U R’

5. LRF

Combinationof 4 & 3

L’ U R U’ L UU

R’ U R UU R’

6. Y (+ve)

7. Y (-ve)

Clockwise:

FF U L R’ FF L’ R U FF

Anti Clockwise:

FF U’ L R’ FF L’ R U’ FF

Clockwise:

Anti Clockwise:

8. H

9. D

M2 U M2 U2 M2 U M2

M2 U M2 U M’ U2 M2 U2 M’ U2

Notes : i) L’ U R U’ L UU R’ U R UU R’ - used frequently.

ii) Brief Column above – it’s my idea to make “Life Easier”.

By, JURIM_SARAMBUNG @PUWORK2010

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Minimum Formula for 3X3X3 Rubik Cube Solution Part 2 - Last Layer Permutation