How to solve a rubik's cube training. The impossible is possible, or how to solve the main models of the Rubik's cube

Health 18.10.2019
Health

Probably everyone at least once tried to solve the Rubik's Cube 3x3 - a simple-looking, but actually tricky puzzle. The Land of the Soviets will tell you how to fold it using special schemes and assembly algorithms that will be understandable even to beginners.

The Rubik's Cube (other names - Rubik's Cube, Magic Cube) is a well-known mechanical puzzle. In 1974, it was invented by the Hungarian sculptor and architecture teacher Erno Rubik, and in 1975 he patented his invention.

The classic puzzle consists of 26 smaller multi-colored cubes (size - 3x3x3). They can be rotated around axes invisible from the outside. The task is to assemble the “toy” so that each of its faces consists of squares of the same color.

Rubik's Cube: Assembly of the first puzzle belt

Assembling a 3x3 Rubik's Cube for beginners seems difficult, but quite amenable to mastering.

To begin with, let's define the terminology and give each cube a name. The central cube (center) in the figure is indicated by number 1, the side cube (side) - by number 2, the corner cube (corner) - by number three.

Important! The main assembly rule is that the front side (front) should not change!

Try to assemble the first belt yourself - the first side is assembled as you like, you can show your imagination. After that, by exchanging the dice of the first side, the first belt is collected.

Here are a couple of tips for collecting the first side:

  1. The central squares are always located equally relative to each other.
  2. The white side cannot physically coexist with the yellow side, the green side with the blue side, and the red side with the orange side.

First, make sure that the first side has the correct cross from the sides, then collect the corners.

Rubik's Cube: formulas for the second puzzle belt

To assemble the second belt, you may need two formulas.

Rubik's Cube Scheme - Formula 1 Rubik's Cube Scheme - Formula 2

These formulas are easy to understand. For example, rotation 1 of formula 1 is a clockwise rotation of the top side. And rotation 7 of formula 1 is the rotation of the front side counterclockwise. The turn is always 90°.

In the scheme for assembling the second belt of the Rubik's Cube 3x3 completely assembled side with the first belt - the invisible part to your left. Remember: the central cube is always one color, the side is two, and the corner is three. Front side - 4.

First, change side 2 to die 0-1. In this case, the color of planes 2 and 4 must match. The invisible color of the sidewall 2 when assembled according to the first formula is 5.

Squares 2 and 3 are on the third belt, not yet assembled. That is, you need to find on the side opposite to the one already assembled, the sides without color 6, and by rotating the 3rd belt, the color visible on side 6 is opposite the corresponding color of the first belt.

If the color of square 3 matches the color of square 5, assemble according to formula 2: side 3 is placed in place of 0-1.

Rubik's Cube: assembly of the last, third puzzle belt

To assemble the third belt (last side), you will need three formulas.

How to put together a puzzle: formula 3 How to put together a puzzle: formula 4 How to put together a puzzle: formula 5

First you need to assemble the correct cross on the last side - so the sides will take desired position. The cube must be oriented relative to the sides indicated in blue in the figure. In this diagram, the front side is underlined in blue, fully assembled - the lower invisible side. In order to collect the correct cross, repeat formula 3 several times. The cross will turn out when the far cube is located correctly, and the near one is not.

After that, only the corner squares should remain unassembled. If they are in their places, but oriented incorrectly, do not follow the next formula. The blue cube in the picture is in its place. If you do not have any, the front side can be any. After 2-3 repetitions of formula 4, the corners should fall into place.

To correctly orient the corners, use formula 5. In order for the blue-colored corner to stand correctly, it must be rotated several times. The most important thing is not to change the front side until the cube is completely completed - even if it seems to you that nothing comes out. If the corner did not fit correctly the first time, run the formula again. To substitute the next angle, the first step would be:

Video tutorial: how to solve a 3x3 Rubik's cube for beginners

To better understand the presented schemes and visualize the process of assembling the Rubik's Cube, take the cube in your hands and watch the video tutorial. Try to repeat what you have learned. We are sure that now you will be able to easily assemble this puzzle!

You have mastered the scheme of how to correctly and quickly assemble this most famous puzzle. Of course, there are many more formulas for assembling it in a 3x3 format, we have described only a few, but after a little practice you can quickly figure it out without an assembly diagram.

You've been scratching your head over this puzzle for a week. And now, finally, it is assembled! .. You will never understand the joy of a person who has collected a Rubik's cube until you try to do it yourself.

For an inexperienced layman, collecting a Rubik's cube is not an easy task. Of course, on the Internet you can find both videos and instructions with where there is detailed description step by step assembly. But not all methods lend themselves to successful application in practice.

For beginner builders

Let's figure out what the 3x3 Rubik's cube consists of and how it can be twisted (although, most likely, it will twist you at first!).

The cube has a frame - a cross, on which the central details of each side are fixed. These details are motionless, and the rest of the "brotherhood" revolves around them.

Now take the cube, turn one of the sides towards you (at your discretion) and carefully consider:

B - top side

H ─ bottom side,

L ─ left side,

P ─ right side,

Ф - frontal (front) side,

Z ─ back side.

And, accordingly, it is important to learn combinations of turns:

F, Z, V, N, L, P - rotation clockwise (or away from you) by 90 degrees;

Ф ', З ', V ', N ', L ', P ' - counterclockwise rotation (or - towards yourself) by 90 degrees;

F”, Z”, V”, N”, L ″, P ”- rotation by 180 degrees.

The simplest scheme for assembling a 3x3 Rubik's Cube consists of seven consecutive steps.

Step 1. Assemble the cross on the top face.

Choose the side that will be the top. We will collect the "correct" cross. This means that on the top side, the center will be surrounded by details of the same color, and on the side faces, the stickers on the top cube and the central one will be different, but also the same color.

To get this result, the easiest way is to use one of the above rotations to move the cube we are interested in down, combine it with the center of the same color and move it back up.

When you have collected several edges in this way, and the next one is so that, lowering it, you will break the top, the combination P ', N ', P comes to your aid, allowing you to return everything to its place.

Step 2. Arrange the corners of the upper face.

It is easiest to start from those corners that are at the bottom. We twist the bottom so that the desired angle becomes under the place assigned to it, as in the picture below. Then we move it up with one of the turns, most likely breaking the upper cross, so we fix the corner by turning it completely in the opposite direction, put the center in place and return the corner. For example, for the case shown in Figure 4, we use a combination of P, F ', P ', F.

The principle is based on the fact that we “knock out” others with some cubes. If the corner is on top, then it is better to move it down, for example, by turning П′, and then put it in its place

Expected Result:

Step 3. We collect the middle layer.

First, turn the cube so that the assembled side is at the bottom. Now you can arrange the four edges of the middle layer in their places. Three combinations are possible here:

1. It is necessary to transfer the cube from the top right to the front face. We turn B ', F ', B, F, B, P, B ', P '.

2. You can move to the right using a combination of B, P, B ', P ', B ', F ', B, F.

3. To turn an edge that is in the right place, but on the wrong side: П, В', П', В', Ф', В, Ф, В', П, В', П', В', F', V, F.

Result:

Step 4. We collect the "wrong" cross on the "new" top face.

The goal is to reach the variant with fig. 10, assemble the "white cross":

1) a combination of F, P, V, P ', V ', F ";

2) F, V, P, V’, P’, F’;

3) any of the proposed combinations twice.

Step 5. We make the “correct” cross out of the “wrong” one.

Rotate the top layer until any two edges match in color with the centers from the middle layer. There are two cases here:

1. In their places - two opposite edges, the other two need to be swapped. We use a combination of P, V, P ', V, P, V ”, P '.

2. Two assembled edges are at an angle, the other two need to be swapped with a combination of P, B ”, P ', B ', P, B ', P '. You may need to repeat this combination several times.

Result:

Step 6. Put the corners of the top layer in place.

To carry out this step, use one of the suggested combinations:

1) P’, F’, L, F, P, F’, L’, F;

2) F’, L, F, P’, F’, L’, F, P.

Step 7. Expand the corners with the right colors.

We hold the cube towards us with one side so that the “wrong” angle is on the top right. With a combination of P ', N ', P, N, we twist the cube until the corner is right. Next, scroll the top to the next wrong turned corner and set it correctly with the same combination. We do not change the working side!

During these actions, the design of the cube may be broken. But that's how it's written in the script. So don't worry!

Finally, you can unfold all four corners the right sides– the rest of the elements of the cube also fall into place! Be proud of yourself - you did it! Congratulations on a successful result!

Photo: kak-sobrat-kubik-rubika.praya.ru, speedcubing.com.ua, ru.gde-fon.com.

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Surely everyone has known since childhood the famous puzzle, named after its creator - Erno Rubik. Pretty quickly, she gained popularity and reached the most remote corners of the planet.

Without proper skill, it will not work to put together a puzzle, even after doing a hundred manipulations, but relatively recently, specialists from Inc. learned how to solve a rubik's cube in 20 moves. They managed to achieve this phenomenal result with the help of a computer, which was given the task of analyzing all possible combinations.

Where did the Rubik's Cube come from?

Back in 1974, the Hungarian architect and teacher at the Academy of Applied Arts Erno Rubik thought about the best way to learn

He wanted a new invention to help students explore the world, and one day he had a sensational idea - to create a puzzle. The task, it would seem, is elementary - to rotate the rows of the cube until each of the sides becomes the same color. But the scheme for assembling a Rubik's Cube is not so simple and can take even several hours in time, without giving a result. The students appreciated and got carried away with the new toy. At that moment, the creator did not even suspect that after many years scientists would puzzle over solving the puzzle until they figured out how to solve a Rubik's cube in 20 moves.

How did the worldwide popularity come

At first, the original toy was not popular with investors. It was believed that its production would not be profitable, since the assembly of the Rubik's cube could be of interest only to intellectuals. Nevertheless, one small company decided to invest in this unusual project, and the puzzle began to conquer Budapest.

A few years later, Tibor Lakzi, an intermediary of one of the German firms, arrived in the city and became interested in the original puzzle, which at that time was very popular among the townspeople. Realizing that the distribution of an amazing invention around the world could bring huge profits, he decided to promote the Rubik's Cube. For novice businessmen Lakzi and Rubik, the main difficulty was the search for investors. But thanks to Tibor's economic education and his commercial flair, the owner of Seven Towns Ltd, Tom Kremer, was soon involved in the project. He undertook large-scale production and distribution, which helped the cube become popular all over the world.

"God's Algorithm"

Since 1982, competitions have been regularly held in many countries, in which the main task of the participants is the speed assembly of the Rubik's Cube. In order to solve the puzzle as quickly as possible, it is not enough just to have good dexterity and ingenuity. A person should know the optimal scheme for assembling the Rubik's cube, which allows you to expend as little effort as possible. The minimum number of steps required to solve the problem is the "God's Algorithm".

Many learned minds and simple amateurs have tried to find a solution. At one time it was believed that the minimum number of steps from any position was 18, but later this theory was refuted. Many years have been spent searching for the optimal sequence, and only in 2010, scientists managed to find out how to solve a Rubik's Cube in 20 moves, regardless of the position of the puzzle before the assembly began. This is currently an absolute record.

Who is faster - a car or a person?

On the this moment Colin Burns, an American schoolboy, is the fastest person ever to solve a puzzle in less than 5.5 seconds. And the robot, assembled by British engineers from parts of the EV3 designer, coped with this task in 3.253 seconds. The advantage of the mechanism is not only that the work of all its parts is more coordinated than the actions of a person. Scientists gave him as many as 4 hands, which allow you to perform all operations 2 times faster.

How to learn to collect it

There is more than one standard Rubik's cube scheme that allows you to learn how to solve this original puzzle in a short time. Various systems assemblies allow you to approach the issue in different ways. Which one to choose is up to you. Of course, it is unlikely that without the computer power of Google you will learn how to solve a Rubik's cube in 20 moves, but you will learn how to find simple solutions in a short time. The main thing is that you have enough perseverance. No technique will help solve the puzzle without problems if you are not ready to spend your precious time learning.

But you should not give all your time to this toy. Doctors have noted an increase in the number of patients in psychiatric clinics after the appearance of the Rubik's Cube. And traumatologists began to regularly encounter symptoms, later called "Rubik's syndrome." It appears as sharp

Assembly diagram

There are several schemes that allow beginners to quickly learn how to add a Rubik's cube. Attached to this article is one of them:

  1. First you need to assemble a cross, the ends of which are continued on adjacent faces. There is no universal technique - everything comes with practice.
  2. Next, you need to complete the entire side on which the cross was assembled, and assemble the belt from the parts around it. It is important to ensure that each belt is the same color.
  3. Now you need to collect the second belt and go to the opposite side of the cube.
  4. We collect the cross on this side in the same way as at the very beginning.
  5. We complete the whole side.
  6. Now we put the corners of the cube in order - we make the colors on them match the colors of the sides to which they are turned.
  7. It remains only to correctly rotate the parts that have only 2 sides. The cube is assembled.

Now you can learn how to solve one of the most popular puzzles in the world. The universal Rubik's cube scheme will help you with this.

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Numerous attempts to solve the Rubik's Cube failed? All the presented instructions on the Internet are written by professionals, but for the "dummies" the solution seems very confusing? Do you think that solving this puzzle is impossible? Following our step by step instructions, you will not only be able to fully assemble the most popular puzzle in the world without formulas, but also understand how you did it.

You will need:

Where to begin

So, your goal is to complete the Rubik's Cube. To do this without knowing how it works, what it consists of and how it functions, will not work.

The standard 3x3 Rubik's Cube is a mechanical 3D cube with each face painted a different color.

The traditional version is blue, green, white, yellow, red and orange. Edges:

In total, there are 20 movable elements in the Rubik's cube (12 edges and 8 corners) and the solution depends directly on knowing how they can change their position.

As we rotate one side, we see that the center pieces stay in place, the edge moves to where the edges should be, and the corner takes place in the corner.

It follows from this that each element has a certain type, which does not change after rotation (the edge remains the edge, the center remains the center).

Frequently Asked Questions

    What should be a Rubik's Cube?

    If you are not going to participate in competitions, you can take any cube. It is better for young people and children to buy a puzzle from Chinese manufacturers. When choosing, consider the following:
    - It is better to take the cube of the latest models, it provides for the shortcomings of previous versions, and it is more improved.
    - The right cube should spin easily, while cutting corners well.
    - Cubes for professionals can be disassembled and adjusted.

    How many edges does a rubik have?

    The classic Cube consists of 12 two-color side or edge elements (12 "ribs").

    How many rubik's cube puzzles?

    There are many ways to build a Cube. There are those that allow you to assemble a couple of formulas, but in a couple of hours. Others, by memorizing a couple of hundred formulas, allow you to solve a cube in 1 minute or even 20 seconds.

Basics

Our goal is to put all the elements in the right places. To determine the direction in which to rotate and the “correct place” of a particular square, you need to pay all your attention to the central elements, because, as we have already said, they have a fixed position.

For example, the edge that is located between the red and green center, respectively, is red-green, so you need to focus on placing an edge of the same color near the green center, and a red edge near the red central element.

The corner is always three-color, so care must be taken to place it between the center elements of the corresponding colors.

Step 1. Gathering the Edges of One Side

The first thing you need to do is choose a color to start with. In this example, the main color is yellow, it will be presented in all schemes. Everyone is free to choose the option that he likes best and start with it.

So, if the upper central element is yellow, then the bottom, respectively, is white (it is located on the opposite side in almost all models of the Rubik's cube).

In order to solve a 3x3 Rubik's Cube, you must first fold a cross on its upper face - put all the edges of the selected color (in our case, yellow) in the appropriate positions around the central element.

You need to do this in a certain order so that the second color of the edge matches the nearby center element.

This step is the hardest to explain to those who don't know how to solve a Rubik's Cube. This task is easier to solve on your own and you will undoubtedly succeed in doing it after a short training.

It is at this step that most beginners stop - they collect a cross, then one face - further, unfortunately, few people advance.

For those who cannot do this, below is a diagram of how to assemble the cross. Keep in mind you will have to repeat this step 4 times - one for each side.

  1. Take the Rubik's cube in your hands and turn it over so that the yellow center (or another color of your choice) is on top and white on the bottom.
  2. Look for yellow edges on the bottom plane. Pay attention to both colors of the rib.
  3. If you find a yellow edge on the bottom, rotate the layer until the edge with the yellow square is positioned under its "place" on the top edge.
  4. Perform one of the following actions:

a) Yellow "looks" down

b) Yellow looks ahead

c) Rib in the intermediate layer

Note: if the yellow square is on the top layer, but it is not properly positioned and oriented in relation to the nearby center, change its position by putting another element in its place.

After that, the edge will be in one of the three positions described above. Using the diagram, put it in the "correct" place. Repeat all the steps for each yellow edge and collect the cross on the top layer of the Rubik's cube.

Step 2. Assembling the top face

If you were able to fold the cross, then it is worth collecting the entire top layer, that is, putting the corners into place one by one. We cannot put them as we want, because each corner has a place specially reserved for it, which is determined by the colors of which it consists.

Just like in the previous step, there are several solutions that we will follow.

Remember that you will have to repeat all the steps 4 times - one for each corner.

  1. Flip the Rubik's Cube so that the yellow layer is on top and the white one is on the bottom.
  2. Look in the bottom layer for the corner with the yellow square. Note the 2 other colors on it.
  3. Twist the bottom layer so that the corner is under its "own" place.
  4. Use one of the solutions below:

a) yellow looks to the left

b) yellow looks to the right

c) yellow is on the bottom

note : if the yellow corner is not in the bottom layer of the Rubik's cube, then it means that it is in the top layer, but not in its place.

You need to put any corner from the bottom layer up (following the first solution, for example). This way you will get a yellow corner in the bottom layer.

Repeat for each corner until the top layer is complete.

Step 3. Algorithm for assembling the second face

We want to build the second layer of the cube. Remember that the central elements are fixed, so there is no need to swap them and think about how to place them. Keep in mind that you will have to repeat the steps below 4 times - one for each edge.

  1. Take the cube so that there was a white layer on top and yellow on the bottom - the one that we have already collected
  2. Look in the top layer for an edge with no white on either side.
  3. Rotate the top layer until the color of this edge and the center piece on the side match, forming an inverted T.
  4. Follow one of the solutions below, choosing an example depending on whether the edge is placed on the left or on the right.

There are a few options:

1) The edge should move to the right from where it is.

2) The edge should move to the left from where it is now.

Note: If the top layer doesn't have an edge element without white on either side, it means they're in the middle layer but out of place.

Put any other edge from the top layer in its place. In this way, you will get the edge in the top layer without the white square and you can move it, in accordance with the instructions above.

Repeat this step 4 times - one for each edge.

Step 4. Second cross

So, we have collected the first 2 layers of the Rubik's Cube. Now we need to ensure that the 4 outermost elements of the top layer are white, forming a cross. At this stage, we will focus only on the edge elements, not paying attention to the corners.

The top face of a cube can have four white edges, or two, or none. If all four white edges are on the top side, then you can skip this step and go to the next one. If there are two edges, then one of the following options should be used, depending on how they are located relative to each other: side by side or opposite.

1) Adjacent edges

2) Opposite edges are white

3) None of the white squares are right

If there was not a single white square in the top layer, do one of the two options described above and you will get 2 white squares in the top layer. After that, do the necessary sequence of actions, depending on the situation.

Thus, we have laid down the second cross.

Step 5. How to place the second cross

In the previous step, we folded the second cross. In this step, we will make the sides of the cross match in color with the central elements of the corresponding faces. We will only focus on the white edges of the cube, ignoring the corners.

  1. Rotate the top layer of the Rubik's cube until the two edges match in color with the center element of the corresponding faces. If only one edge matches, keep rotating.
  2. Use one of the examples given depending on whether the side edges are in sequential or opposite position with respect to each other.

a) adjacent edges

b) opposite edges

Thus, we have placed the second cross of the Rubik's cube correctly.

Step 6 Place the Corners

We have already put in place all the elements of the Rubik's Cube, except for the corner parts of the last layer.

The goal of the penultimate step is to place the corners correctly, regardless of their orientation. Thus, you need to know exactly when the corner took the correct position.

So, the corner is placed correctly if the nearby center elements match in color with the 3 parts of the corner.

Let's look at a few examples of when the corners are placed incorrectly and when they are in the correct position in order to complete the Rubik's Cube.

It is possible that all 4 corners will be in place from the very beginning (feel free to the next step), or only 1 corner is placed correctly, or none. If only one corner is in place, follow one of the examples below, choosing the one that will allow you to place all the elements in their places.

1) 3 corners out of position (a)

2) 3 corners out of position (b)

3-4) No corner placed correctly

If none of the 4 corners are in "their" place, do one of the above examples - this way you will be able to put one of them in place. Then follow the steps depending on what you got.

Thus, we have completed a 3x3 Rubik's cube, putting the corners in their positions. The last step - by rotating the corners of the last layer, we will solve the puzzle completely.

Step 7. How to assemble

In the previous step, we put all the elements in their places. It remains only to rotate the corners to solve the Rubik's cube and solve it completely. At this stage, there may be two, three or four misdirected corners in the last layer.

If there are 2 incorrectly oriented corners, follow one of the examples below, depending on the situation that has arisen.

Be sure to read this before rotating the faces of the cube.

Very important! This step is not as easy as the others, but also a lot more difficult. Before you get started, there are a few things to know. Option 1 has several sub-options, so the first thing to do is figure out which one is right for you. To solve this step, do the first sequence of actions. After that, take the necessary steps, depending on the version of the red table that you received.

Option 1. Two corners are not correctly oriented. Please note that the "neighboring" corner - needs to be rotated clockwise.

Option 2-3. Three corners are incorrectly oriented.

If 2 corners are not correctly oriented, solve the Rubik's Cube following the first example - this way you will get only 2 incorrectly oriented corners. Finally, do the sequence of actions, depending on the situation that you have.

Option 4. All corners are not correctly oriented.

If none of the 4 corners are correctly oriented, follow the first example given. Then choose the solution that suits your situation.

If you did everything right and followed our instructions so far, then congratulations! You solved the Rubik's Cube by yourself!

And other logic games.

And here, by the way, there is something to show yourself:

  • You can be the fastest. The current record is 5.5 seconds. People who are engaged in high-speed assembly are called speedcubers.
  • Maybe you want to be the most original? The Rubik's Cube is collected with closed eyes, legs, etc. Here, too, there are records and you can beat them.
  • And the most creative and inventive draw with the help of the Rubik's cube and, by the way, create real masterpieces of incredible beauty.

We hope we inspired you and helped you understand how to solve the Rubik's Cube. If you are interested in thinking games and puzzles, you will probably be interested in learning the secrets of playing dominoes. A mixture of options 1 and 2 is suitable for us, in extreme cases, option 2.
If lubricated very liquid, its sides will start to adhere to each other too much. Thick takes away the speed of rotation. If you mix two types of lubricant, it is this consistency that is optimal.

Can't solve rubik's cube...

Many people ask the question: "How to solve a Rubik's cube, if I took it apart, I can't put it back together?". Most often this happens on the last layer. You may not be following the algorithms exactly. But if you follow the diagrams exactly, then it should come together. If not, the problem may be as follows - Chinese manufacturers make dice of different quality - from professional to falling apart in the hands at the first spins. If the cube fell apart, it must be assembled correctly.
On a cube with two layers assembled, pry off the cover of the central cube of the third layer with a flat screwdriver or a knife, remove it, unscrew the screw with a small Phillips screwdriver (do not lose the spring on the screw). Gently pull out the corner and side cubes of the third layer and insert them correctly color by color. At the end, insert and screw the previously unscrewed central cube (do not overtighten). Rotate the third layer. If it's tight, loosen the screw, if it's too easy, tighten it. It is necessary that all faces spin with the same force. After that, close the lid of the central cube.

The human intellect needs constant training no less than the body in physical activity. The best way to develop, expand the abilities of this quality of the psyche - to solve crossword puzzles and solve puzzles, the most famous of which, of course, is the Rubik's Cube. However, not everyone manages to collect it. Knowledge of the schemes and formulas for solving the assembly of this intricate toy will help to cope with this task.

What is a puzzle toy

Mechanical cube made of plastic, the outer faces of which consist of small cubes. The size of the toy is determined by the number of small elements:

  • 2 x 2;
  • 3 x 3 (the original version of the Rubik's Cube was exactly 3 x 3);
  • 4 x 4;
  • 5 x 5;
  • 6 x 6;
  • 7 x 7;
  • 8 x 8;
  • 9 x 9;
  • 10 x 10;
  • 11 x 11;
  • 13 x 13;
  • 17 x 17.

Any of the small cubes can rotate in three directions along the axes, represented as protrusions of a fragment of one of the three cylinders of the large cube. So the design has the ability to rotate freely, but at the same time, small parts do not fall out, but hold on to each other.

Each side of the toy includes 9 elements, painted in one of six colors, opposite each other in pairs. The classic combination of shades is:

  • red opposite orange;
  • white opposite yellow;
  • blue opposite green.

However, modern versions may be colored in other combinations.

Today you can find Rubik's cubes of different colors and shapes.

It is interesting. The Rubik's Cube even exists in a version for the blind. There, instead of color squares, there is a relief surface.

The goal of assembling the puzzle is to arrange the small squares so that they form the face of a large cube of the same color.

History of appearance

The idea of ​​​​creation belongs to the Hungarian architect Erne Rubik, who, in fact, did not create a toy, but a visual aid for his students. So interesting way the resourceful teacher planned to explain the theory of mathematical groups (algebraic structures). It happened in 1974, and a year later the invention was patented as a puzzle toy - future architects (and not only them) got so attached to the intricate and bright manual.

The release of the first series of the puzzle was timed to coincide with the new year 1978, but the toy entered the world thanks to the entrepreneurs Tibor Lakzi and Tom Kremer.

It is interesting. Since the appearance of the Rubik's Cube ("magic cube", "magic cube"), about 350 million copies have been sold worldwide, which puts the puzzle in first place in popularity among toys. Not to mention dozens computer games based on this assembly principle.

The Rubik's Cube is an iconic toy for many generations

In the 80s, the inhabitants of the USSR met the Rubik's Cube, and in 1982, the first world championship in assembling a puzzle for speed, speedcubing, was organized in Hungary. Then best result was 22.95 seconds (for comparison: in 2017 a new world record was set: 4.69 seconds).

It is interesting. Fans of assembling a multi-colored puzzle are so attached to the toy that they find it not enough for them to assemble for speed alone. Therefore, in last years there were championships for solving puzzles with closed eyes, one hand, legs.

What are the formulas for the Rubik's Cube

Collecting a magic cube means arranging all the little details so that you get a whole face of the same color, you need to use God's algorithm. This term refers to a set of minimum actions that will solve a puzzle that has a finite number of moves and combinations.

It is interesting. In addition to the Rubik's Cube, God's algorithm is applied to puzzles such as Meffert's pyramid, Taken, Tower of Hanoi, etc.

Since the Rubik's magic cube was created as a mathematical aid, its assembly is decomposed according to formulas.

The assembly of the Rubik's cube is based on the use of special formulas

Important definitions

In order to learn how to understand the schemes for solving the puzzle, you need to get acquainted with the names of its parts.

  1. An angle is a combination of three colors. The 3 x 3 cube will have 3, the 4 x 4 version will have 4, and so on. The toy has 12 corners.
  2. An edge denotes two colors. There are 8 of them in a cube.
  3. The center contains one color. There are 6 in total.
  4. Facets, as already mentioned, are simultaneously rotating elements of the puzzle. They are also called "layers" or "slices".

Values ​​in formulas

It should be noted that the assembly formulas are written in Latin - these are the schemes that are widely represented in various manuals for the puzzle. But there are also Russified versions. The list below shows both options.

  1. The front face (front or facade) is the front face, which is in color to us [Ф] (or F - front).
  2. The back face is the face that is centered away from us [З] (or B - back).
  3. Right Edge - the edge that is on the right [P] (or R - right).
  4. Left Edge - the edge that is on the left [L] (or L - left).
  5. Bottom Face - the face that is below [H] (or D - down).
  6. Upper Face - the face that is at the top [B] (or U - up).

Photo gallery: parts of the Rubik's cube and their definitions

To clarify the notation in the formulas, we use the Russian version - this will be more understandable for beginners, but for those who want to move to the professional level of speedcubing without the international notation on English language not enough.

It is interesting. International system designation adopted the World Association cube (World Cube Association, WCA).

  1. The central cubes are indicated in the formulas with one lowercase letter - f, t, p, l, c, n.
  2. Corner - in three letters according to the name of the faces, for example, fpv, flni, etc.
  3. Capital letters Ф, Т, П, Л, В, Н denote elementary operations of rotation of the corresponding face (layer, slice) of the cube by 90° clockwise.
  4. Designations Ф, Т, П, Л, В, Н" correspond to the rotation of faces by 90° counterclockwise.
  5. The designations Ф 2 , П 2 , etc., indicate a double rotation of the corresponding face (Ф 2 = FF).
  6. The letter C denotes the rotation of the middle layer. The subscript shows which side of the face to look at to make that turn. For example, C P - from the side of the right side, C N - from the bottom side, C "L" - from the left side, counterclockwise, etc. It is clear that C N \u003d C "B, C P \u003d C" L and etc.
  7. The letter O is the rotation (revolution) of the entire cube around its axis. О Ф - from the side of the front face clockwise, etc.

Recording the process (F "P") N 2 (PF) means: rotate the front face counterclockwise by 90 °, the same - the right side, rotate the bottom face twice (that is, by 180 °), rotate the right side by 90 ° along clockwise, rotate the front face 90° clockwise.

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http://dedfoma.ru/kubikrubika/kak-sobrat-kubik-rubika-3x3x3.htm

It is important for beginners to learn to understand the formulas

As a rule, instructions for building a puzzle in classic colors recommend holding the puzzle with the yellow center up. This advice is especially important for beginners.

It is interesting. There are websites that visualize formulas. Moreover, the speed of the assembly process can be set independently. For example, alg.cubing.net

How to solve a Rubik's puzzle

There are two types of schemas:

  • for newbies;
  • for professionals.

Their difference is in the complexity of the formulas, as well as the assembly speed. For beginners, of course, instructions appropriate to their level of knowledge of the puzzle will be more useful. But even they, after training, after a while will be able to fold the toy in 2-3 minutes.

How to build a standard 3 x 3 cube

Let's start by building a classic 3 x 3 Rubik's Cube using a 7-step pattern.

The classic version of the puzzle is the Rubik's Cube 3 x 3

It is interesting. The reverse process used to solve certain irregularly placed cubes is the reverse sequence of the action described by the formula. That is, the formula must be read from right to left, and the layers must be rotated counterclockwise if direct movement was indicated, and vice versa: direct if the opposite is described.

Assembly instructions

  1. We start by assembling the cross of the upper face. We lower the required cube down by turning the corresponding side face (P, T, L) and bring it to the front face with the operation N, N "or H 2. We finish the stage of the removal by mirroring (reverse) the same side face, restoring the original position of the affected edge cube of the upper layer. After that, we perform operation a) or b) of the first stage. In case a) the cube came to the front face so that the color of its front face matches the color of the facade. In case b) the cube must not only be moved up, but also unfolded so that it is correctly oriented, standing in its place.

    We collect the cross of the upper line

  2. The required corner cube is found (having the colors of the faces F, V, L) and, using the same technique that is described for the first stage, it is displayed in the left corner of the selected facade face (or yellow). There can be three cases of orientation of this cube. We compare our case with the picture and apply one of the operations of the second stage a, beat c. The dots on the diagram mark the place where the desired cube should be placed. We look for the remaining three corner cubes on the cube and repeat the described technique to move them to their places on the top face. Result: the top layer is picked up. The first two stages cause almost no difficulty for anyone: it is quite easy to follow your actions, since all attention is paid to one layer, and what is done in the remaining two is not at all important.

    Choosing the top layer

  3. Our goal: to find the desired cube and first bring it down to the front face. If it is at the bottom - by simply turning the bottom face until it matches the color of the facade, and if it is in the middle layer, then you must first lower it down using any of the operations a) or b), and then match it in color with the color of the facade face and perform the operation of the third stage a) or b). Result: two layers collected. The formulas given here are mirror formulas in the full sense of the word. You can clearly see this if you put a mirror to the right or left of the cube (with an edge towards you) and do any of the formulas in the mirror: we will see the second formula. That is, operations with the front, bottom, top (not involved here), and back (also not involved) faces change sign to the opposite: it was clockwise, it became counterclockwise, and vice versa. And the left side changes from the right one, and, accordingly, changes the direction of rotation to the opposite.

    We find the desired cube and bring it down to the front face

  4. The goal is achieved by operations that move the side cubes of one face, without ultimately violating the order in the collected layers. One of the processes that allows you to pick up all the side faces is shown in the figure. It also shows what happens in this case with other face cubes. By repeating the process, choosing a different front face, you can put all four cubes in place. Result: the rib pieces are in place, but two of them, or even all four, may be incorrectly oriented. Important: before proceeding with this formula, we look at which cubes are already in place - they may be incorrectly oriented. If there is none or one, then we try to rotate the upper face so that the two that are on two adjacent side faces (fv + pv, pv + tv, tv + lv, lv + fv) fall into place, after that we orient the cube like this , as shown in the figure, and execute the formula given at this stage. If it is not possible to combine the details belonging to adjacent faces by turning the top face, then we execute the formula for any position of the cubes of the top face once and try again by turning the top face to put 2 details located on two adjacent side faces into place.

    It is important to check the orientation of the cubes at this stage

  5. We take into account that the unfolded cube should be on the right side, in the figure it is marked with arrows (cube pv). Figures a, b, and c show possible cases of location of incorrectly oriented cubes (marked with dots). Using the formula in case a), we perform an intermediate rotation B "to bring the second cube to the right side, and the final rotation B, which will return the upper face to its original position, in case b) an intermediate rotation B 2 and the final one also B 2, and in case c) intermediate rotation B must be performed three times, after turning each cube and also completed with rotation B. Many are confused by the fact that after the first part of the process (PS N) 4, the desired cube unfolds as it should, but the order in the collected layers is violated. confuses and makes some people throw an almost completed cube halfway through. Having completed an intermediate turn, ignoring the “breakage” of the lower layers, we perform operations (PS N) 4 with the second cube (the second part of the process), and everything falls into place. Result: assembled cross.

    The result of this stage will be an assembled cross

  6. We put the corners of the last face into place using an easy-to-remember 8-way process - forward, rearranging the three corner pieces in a clockwise direction, and reverse, rearranging the three dice in a counterclockwise direction. After the fifth stage, as a rule, at least one cube will sit in its place, even if it is incorrectly oriented. (If after the fifth stage none of the corner cubes has sat down in its place, then we apply any of the two processes for any three cubes, after that exactly one cube will be in its place.). Result: all the corner cubes are in place, but two of them (maybe four) may not be oriented correctly.

    Corner cubes sit in their places

  7. We repeatedly repeat the sequence of turns PF "P" F. Rotate the cube so that the cube we want to unfold is in the upper right corner of the facade. An 8-way process (2 x 4 turns) will rotate it 1/3 turn clockwise. If at the same time the cube has not yet oriented, repeat the 8-move again (in the formula this is reflected by the index “N”). We do not pay attention to the fact that the lower layers will become a mess. The figure shows four cases of incorrectly oriented cubes (they are marked with dots). In case a) an intermediate turn B and a final B" are required, in case b) - an intermediate and final turn B 2, in case c) - turn B is performed after each cube is rotated to the correct orientation, and the final B 2, in case d) - intermediate rotation B is also performed after each cube is rotated to the correct orientation, and the final rotation in this case will also be rotation B. Result: the last face is assembled.

    Possible errors are shown with dots

Formulas for correcting the placement of cubes can be shown like this.

Formulas for Correcting Misaligned Cubes in the Last Step

The essence of Jessica Friedrich's method

There are several ways to assemble the puzzle, but one of the most memorable is the one developed by Jessica Friedrich, a professor at the University of Binghamton, New York, who develops techniques for hiding data in digital images. While still a teenager, Jessica became so fascinated with the cube that in 1982 she became the world champion in speed cubing and subsequently did not leave her hobby, developing formulas for quickly assembling the "magic cube". One of the most popular cube folding options is called CFOP - according to the first letters four assembly steps.

Instruction:

  1. We collect the cross on the upper face, which is made up of cubes on the edges of the lower face. This stage is called Cross - cross.
  2. We collect the lower and middle layers, that is, the face on which the cross is located, and the intermediate layer, consisting of four side parts. The name of this step is F2L (First two layers) - the first two layers.
  3. We collect the remaining face, not paying attention to the fact that not all the details are in place. The stage is called OLL (Orient the last layer), which translates as “orientation of the last layer”.
  4. The last level - PLL (Permute the last layer) - consists in the correct arrangement of the cubes of the upper layer.

Friedrich Method Video Instructions

The speedcubers liked the method proposed by Jessica Friedrich so much that the most advanced amateurs develop their own methods to speed up the assembly of each of the stages proposed by the author.

Video: accelerating the assembly of the cross

Video: collecting the first two layers

Video: working with the last layer

Video: last build level by Friedrich

2 x 2

The 2 x 2 Rubik's Cube or mini Rubik's Cube is also stacked in layers, starting from the bottom level.

The mini-dice is a lighter version of the classic puzzle

Easy Assembly Instructions for Beginners

  1. We assemble the bottom layer so that the colors of the last four cubes match, and the remaining two colors are the same as the colors of the neighboring parts.
  2. Let's start organizing the top layer. Please note that at this stage the goal is not to match the colors, but to put the cubes in their places. We start by determining the color of the top. Everything is simple here: it will be the color that did not appear in the bottom layer. Rotate any of the top cubes so that it gets to the position where the three colors of the element intersect. Having fixed the corner, we arrange the elements of the remaining ones. We use two formulas for this: one for changing diagonal cubes, the other for neighboring ones.
  3. We complete the top layer. We carry out all operations in pairs: we rotate one corner, and then the other, but in the opposite direction (for example, the first one is clockwise, the second is counterclockwise). You can work with three angles at once, but in this case there will be only one combination: either clockwise or counterclockwise. Between rotations of the corners, we rotate the upper face so that the corner being worked out is in the upper right corner. If we work with three corners, then we put the correctly oriented one at the back left.

Formulas for rotating angles:

  • (VFPV P"V"F")² (5);
  • V²F V²F "V"F V"F"(6);
  • FVF² LFL² VLV² (7).

To rotate three corners at once:

  • (FVPV "P" F "V")² (8);
  • FV F "V FV² F" V² (9);
  • V²L"V"L²F"L"F²V"F" (10).

Photo Gallery: Building a 2 x 2 Cube

Video: Friedrich method for a 2 x 2 cube

Collecting the most difficult versions of the cube

These include toys with a number of parts from 4 x 4 and up to 17 x 17.

Models of a cube for many elements usually have rounded corners for ease of manipulation with a toy

It is interesting. The 19 x 19 version is currently under development.

At the same time, it should be remembered that they were created on the basis of a 3 x 3 cube, therefore the assembly is built in two directions.

  1. We assemble the center so that the elements of the 3 x 3 cube remain.
  2. We work according to the schemes for assembling the initial version of the toy (most often, cubers use the method of Jessica Friedrich).

4 x 4

This version is called "Rubik's Revenge".

Instruction:

The assembly of models 5 x 5, 6 x 6 and 7 x 7 is similar to the previous one, only we take more cubes as the basis for the center.

Video: Rubik's Cube 5 x 5

Working on solving the 6 x 6 puzzle

This cube is rather inconvenient to work with: a large number of small parts requires special attention. Therefore, we will divide the video instructions into four parts: for each assembly step.

Video: how to solve the center in a 6 x 6 cube, part 1

Video: pairing edge elements in a 6 x 6 cube, part 2

Video: pairing four elements of the 6 x 6 puzzle, part 3

Video: final assembly of the Rubik's Cube 6 x 6, part 4

Video: putting together a 7 x 7 puzzle

How to solve the pyramid puzzle

This puzzle is mistakenly considered a variation of the Rubik's Cube. But in fact, Meffert's toy, which is also called the "Japanese tetrahedron" or "Moldovan pyramid", appeared several years earlier than the visual aid of the teacher-architect.

Meffert's pyramid is mistakenly called a Rubik's puzzle.

To work with this puzzle, it is important to know its structure, because the mechanism of work plays a key role in the assembly. The Japanese tetrahedron consists of:

  • four axis elements;
  • six costal;
  • four corners.

Each part of the axis has small triangles facing three adjacent faces. That is, each element can be rotated without the threat of falling out of the structure.

It is interesting. There are 75,582,720 options for the arrangement of the elements of the pyramid. Unlike the Rubik's Cube, it's not that much. The classic version of the puzzle has 43,252,003,489,856,000 possible configurations.

Instruction and diagram

Video: a simple technique for assembling a pyramid completely

Method for children

Using formulas and applying speed-up methods for children who are just starting to get acquainted with the puzzle will be too difficult. Therefore, the task of adults is to simplify the explanation as much as possible.

The Rubik's Cube is not only an opportunity to engage a child in a useful and interesting activity, but also a way to develop patience and perseverance

It is interesting. It is better to start teaching children with the 3 x 3 model.

Instructions (cube 3 x 3):

  1. We decide on the color of the upper face and take the toy so that the central cube of the desired color is at the top.
  2. We collect the upper cross, but at the same time the second color of the middle layer was the same as the color of the side faces.
  3. Set the corners of the top face. Let's move on to the second layer.
  4. We collect the last layer, but we start by restoring the sequence of the first ones. Then we set the corners so that they coincide with the central details of the faces.
  5. We check the location of the middle parts of the last face, changing their location if necessary.

Solving the Rubik's cube in any of its variations is a great exercise for the mind, a way to relieve stress and distract yourself. Even a child can learn how to solve a puzzle using an age-friendly explanation. Gradually, you can master more intricate assembly methods, improve your own time indicators, and then it’s not far from speedcubing competitions. The main thing is perseverance and patience.

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