A unique phase method for a Rubik's Cube

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A unique phase method for a Rubik's Cube

Postby Valmor » Fri Oct 04, 2013 7:31 am

Hello everybody!

Link to the manual - http://vk.com/doc185254069_224249949
or use the direct mirror - http://buhgalter-online.kz/files/instr_morozov.pdf

In this manual I tell about my method. This method is intuitive on 100% for us. If you try to understand the principle that can becomes intuitive and for you!

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

Examples of solving:

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.
  1. 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.
  2. Edges are only one variant of location, and we need put each edge on its place to solve them.
  3. Centers are 24 variants of location. When corners and edges are solved and they can turn under different angles (4 variants).
Last edited by Valmor on Sat Oct 12, 2013 8:30 pm, edited 10 times in total.
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Re: The 100% intuitive method for a Rubik's Cube

Postby Zeotor » Sat Oct 05, 2013 6:14 am

Hi. You should mention this on a different forum or something similar, if you haven't already. Only a small number of people will see it here. Of those who see it, most won't fully appreciate the work that went into it. :)
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Re: The 100% intuitive method for a Rubik's Cube

Postby Valmor » Sat Oct 05, 2013 8:39 am

Thank for your comment!
How forums you recommend? Please give links.
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Re: The 100% intuitive method for a Rubik's Cube

Postby Zeotor » Sat Oct 05, 2013 7:32 pm

Twisty Puzzles - http://www.twistypuzzles.com/forum/
This forum discusses a lot of topics such as designing new puzzles as well as solving unique ones.

Speedsolving - http://www.speedsolving.com/
This forum mainly focuses on solving puzzles quickly, known as speedsolving.
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Re: The 100% intuitive method for a Rubik's Cube

Postby Valmor » Tue Oct 08, 2013 2:40 pm

Last edited by Valmor on Sat Oct 12, 2013 8:26 pm, edited 1 time in total.
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Re: The 100% intuitive method for a Rubik's Cube

Postby Valmor » Wed Oct 09, 2013 5:48 am

I translated the message from Valery Morozod (the author of this method).
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.
  1. 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.
  2. Edges are only one variant of location, and we need put each edge on its place to solve them.
  3. Centers are 24 variants of location. When corners and edges are solved and they can turn under different angles (4 variants).
Last edited by Valmor on Sat Oct 12, 2013 8:21 pm, edited 3 times in total.
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Re: The 100% intuitive method for a Rubik's Cube

Postby Valmor » Wed Oct 09, 2013 11:22 am

My video for beginners (with subtitles in English):
Last edited by Valmor on Sat Oct 12, 2013 7:21 pm, edited 1 time in total.
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Re: A unique phase method for a Rubik's Cube

Postby Valmor » Fri Oct 11, 2013 6:24 am

Look please at this method for beginners - http://rubikscube.info/beginner.php
and compare it to this method.

There to be spoken:
Introduction
This method uses very few sequences that you need to memorize in order to solve the cube. Although there are quite a few sequences provided in this solution, most of them are intuitive steps, which once you understand you will never forget. But just like in any other game, you will need to study different methods in order to find your own solving strategy. Even though you might find our corners-first solution pretty straightforward, it will take a lot of practice before you fully master the method.


Look as difficult there solve edges, because there is a binding to centers.
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Re: A unique phase method for a Rubik's Cube

Postby Valmor » Sun Oct 13, 2013 5:35 pm

Another variant of flipping edges - http://vk.com/doc185254069_229324082
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Re: A unique phase method for a Rubik's Cube

Postby Rubiksnoob2014 » Sat Jan 11, 2014 7:11 am

Thanks everyone for sharing awesome tips and sharing your expertise! I feel more confident to speedcube now! XD :D
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