#### sm

##### Member

- Joined
- Oct 6, 2013

- Messages
- 44

Hello everybody!

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I ask not to give much attention to the phrase "

I just want to give you one more good idea of solving the Rubik's cube.

I'm sorry if I offended anybody earlier.

Good luck!

Best regards,

Sergey

==============================

Link to the manual - http://vk.com/doc185254069_224249949

or use the direct mirror - http://buhgalter-online.kz/files/instr_morozov.pdf

Another variant of flipping edges - http://vk.com/doc185254069_229324082

Good luck!

The Rubik’s Cube is a puzzle of swivel type. The swivel role in the cube is played centers. These are swivel of horizontal type. This swivel type has 1 level of freedom (possibility of rotation on an axis of a cube crosspiece). On the cube 6 central elements, therefore the maximum quantity of levels of freedom which can have elements of the cube can't be more than 6.

The cube has 9 planes (layers) of rotation, and these planes of two types: 6 sides and 3 central. It is very important to distinguish because in case of rotation of 3 central planes, corner elements remain on a place, and rotate only center and edge elements. When you rotate the side plane, all elements (corners, edges) participate in movement. If to designate axes of the cube as X, Y, Z, then it is possible to consider movement of the planes of the cube, in relation to its axes. Rotation of 6 side planes is a rotation around one of three axes (X, Y, Z). Rotation of central planes is a rotation of two axes around the third, X and Y around Z, X and Z around Y, Z and Y around X.

From this follows a very important conclusion - that corners elements has 3 levels of freedom, and edges and central elements has 6 levels of freedom.

Now, from a position of levels of freedom, we will consider a layer-by-layer method of solving. We see the following - after cross is solved, 12 edge elements loses 3 levels of freedom, central elements loses all 5 levels of freedom, and after that without a algorithms becomes impossible to solve the cube, i.e. restricting possibility of use of all 9 planes of rotation, solving the cube repeatedly becomes complicated.

If you solved at first step 8 corners elements then after edge and central elements save its 6 levels of freedom. That allows solving the cube most simply and without algorithms.

Central elements of the Megaminx has 1 level of freedom, and Corners and Edges has 6 levels of freedom, therefore the Megaminx can't is solved in a different way, except as layer-by-layer (around centers), because if to try to solve separately corners and edges, then you can't put into place centers, without break all solved elements.

But you can easily solve corners and edges in the Rubik’s Cube 3x3x3, and then to put centers into places. And all thanks to that centers have 6 levels of freedom.

In the cube 4x4x4, corners and edges has only one setup variant - everyone to their places. And centers are 96 setup variants. 4 central elements on one side are 16 variants. 6 sides are giving - 16*6 = 96.

And now question:

What is simpler - to decide corners and edges, and then to decide centers where we use one of 96 possible variants, or to decide centers and then to decide edges and angles around centers where we use one possible option for saving centers from breaking?

If, all these puzzles are called mechanical then a way to their decision will be from a position of laws of mechanics. The mathematical group theory is good only for some special cases, for example, when we solve the Megaminx.

If you don't understand my reasoning about levels of freedom, then I will say more simply, we will take the cube 3x3x3, and we will consider its solving.

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 -

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**An addition from 21.11.2018**I ask not to give much attention to the phrase "

**The 100% intuitive method**" in my manual. I want to update my manual but it's difficult to change it now. My English there isn't good enough and I think need to rewrite everything.I just want to give you one more good idea of solving the Rubik's cube.

I'm sorry if I offended anybody earlier.

Good luck!

Best regards,

Sergey

==============================

Link to the manual - http://vk.com/doc185254069_224249949

or use the direct mirror - http://buhgalter-online.kz/files/instr_morozov.pdf

Another variant of flipping edges - http://vk.com/doc185254069_229324082

**My video for beginners (with subtitles in English):**- How to solve corners -
- How to solve columns -
- How to solve last 8 edges -

**The sequence of solving:**- Solving 8 corners (the cube 2x2x2);
- Solving 12 edges (or ribs for big cubes);
- Permutation of centers.

**Examples of solving:**- The cube 3x3x3 -
- The cube 7x7x7 -

Good luck!

**Valery Morozov about his method of solving the Rubik’s Cube 3x3x3**The Rubik’s Cube is a puzzle of swivel type. The swivel role in the cube is played centers. These are swivel of horizontal type. This swivel type has 1 level of freedom (possibility of rotation on an axis of a cube crosspiece). On the cube 6 central elements, therefore the maximum quantity of levels of freedom which can have elements of the cube can't be more than 6.

The cube has 9 planes (layers) of rotation, and these planes of two types: 6 sides and 3 central. It is very important to distinguish because in case of rotation of 3 central planes, corner elements remain on a place, and rotate only center and edge elements. When you rotate the side plane, all elements (corners, edges) participate in movement. If to designate axes of the cube as X, Y, Z, then it is possible to consider movement of the planes of the cube, in relation to its axes. Rotation of 6 side planes is a rotation around one of three axes (X, Y, Z). Rotation of central planes is a rotation of two axes around the third, X and Y around Z, X and Z around Y, Z and Y around X.

From this follows a very important conclusion - that corners elements has 3 levels of freedom, and edges and central elements has 6 levels of freedom.

Now, from a position of levels of freedom, we will consider a layer-by-layer method of solving. We see the following - after cross is solved, 12 edge elements loses 3 levels of freedom, central elements loses all 5 levels of freedom, and after that without a algorithms becomes impossible to solve the cube, i.e. restricting possibility of use of all 9 planes of rotation, solving the cube repeatedly becomes complicated.

If you solved at first step 8 corners elements then after edge and central elements save its 6 levels of freedom. That allows solving the cube most simply and without algorithms.

**If there are more freedom levels at edge and central elements at each stage, then simple and variable there will be a solving.****Valery Morozov about the Megaminx and the Rubik’s Cube**Central elements of the Megaminx has 1 level of freedom, and Corners and Edges has 6 levels of freedom, therefore the Megaminx can't is solved in a different way, except as layer-by-layer (around centers), because if to try to solve separately corners and edges, then you can't put into place centers, without break all solved elements.

But you can easily solve corners and edges in the Rubik’s Cube 3x3x3, and then to put centers into places. And all thanks to that centers have 6 levels of freedom.

In the cube 4x4x4, corners and edges has only one setup variant - everyone to their places. And centers are 96 setup variants. 4 central elements on one side are 16 variants. 6 sides are giving - 16*6 = 96.

And now question:

What is simpler - to decide corners and edges, and then to decide centers where we use one of 96 possible variants, or to decide centers and then to decide edges and angles around centers where we use one possible option for saving centers from breaking?

If, all these puzzles are called mechanical then a way to their decision will be from a position of laws of mechanics. The mathematical group theory is good only for some special cases, for example, when we solve the Megaminx.

If you don't understand my reasoning about levels of freedom, then I will say more simply, we will take the cube 3x3x3, and we will consider its solving.

- Corners are only one variant of location, and we need put each corner on its place to solve them. After corners are solved, we easily defined where located colors of sides.
- Edges are only one variant of location, and we need put each edge on its place to solve them.
- Centers are 24 variants of location. When corners and edges are solved and they can turn under different angles (4 variants).

**Old manual from Valery Morozov in Russian -**http://vk.com/doc185254069_225976533**Old variant of solving by the principle which Valery Morozov showed -**http://vk.com/doc185254069_230764683I've found several videos about Morozov's method in English. Hope it'll be helpfull.

How to solve 2x2x2 -

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