How to solve and arrange a 3x3 Rubiks cube

How to arrange a 6-sided or 3x3 Rubik's cube? This article will help you learn the simplest way to rotate a 6-sided Rubik's cube.

How to Solve a Rubik’s Cube? If you’ve ever looked at a Rubik’s Cube and wondered how to unlock its secrets, you’ve come to the right place. In this blog, we’ll delve into the art of solving a Rubik’s Cube and find it a fun, fun puzzle to play during your break.

When you hold a Rubik’s Cube in your hand, all you can see is a chaotic mosaic of multi-colored squares. It’s a puzzle, a mind-bending challenge that has baffled many. But guess what? It’s not just about arranging colors, it’s about unlocking your hidden problem-solving potential.

But, where to start? Well, just sit back and read this article till the end. Whether you are a complete beginner or have already tried your hand at solving the Rubik’s Cube, this blog is your roadmap to conquer the legendary Rubik’s Cube.

How to solve Rubik

Rubik 3x3 formula part 1: First layer

1. Familiarize yourself with the Notes section at the bottom of the page.

2. Select a face to start with. In the example below, the first layer color will be white.

3. Make a cross. Find the face containing the white center piece and turn it to the top. Put the four white edge pieces in place. (You can do this yourself without the algorithm.) All four edge pieces should be in place within eight moves at most (five or six moves is common).

How to solve and arrange a 3x3 Rubik's cube

Turn the cross face down on the bottom. Rotate the cube 180° so that the cross is on the bottom.

4. Solve the four corners of the first layer, one by one. You can also place the corners without using an algorithm. To start, here is an example of placing a corner:

How to solve and arrange a 3x3 Rubik's cube

Once this step is complete, the first layer will be complete, with a single color (in this case white) at the bottom.

5. Confirm that the first layer is in place. You have now completed the first layer and it should look like this (bottom view)

How to solve and arrange a 3x3 Rubik's cube

Rubik 3x3 formula part 2: Middle layer

1. Arrange the four edge pieces of the middle layer in the correct position. In our example, these are the edges that do not contain yellow. You need to know an algorithm to solve the middle layer. The second algorithm is symmetrical to the first algorithm.

  • If the edge piece is on the bottom layer:

How to solve and arrange a 3x3 Rubik's cube

  • If an edge piece is in the middle layer but in the wrong position or orientation, you just use the same algorithm to place any other edge piece in the correct position. Your edge piece will be in the bottom layer, and you just use the algorithm again to place it in the correct position in the middle layer.

2. Check to see if everything is in place. Now, the first two layers of the Rubik's cube are complete and look like this (from the bottom):

How to solve and arrange a 3x3 Rubik's cube

Rubik 3x3 formula part 3: Last layer

1. Swap the positions of the corner pieces

At this step, our goal is to arrange the corner pieces of the last layer in the correct position, regardless of which direction they are facing.

Locate two adjacent corner pieces that are a different color than the top layer (in our case, a color other than yellow).

Rotate the top layer until the two corner pieces are on the same colored side, facing you. For example, if two adjacent corner pieces are both red, you should rotate the top layer until they are on the red side of the cube. Note that on the other side, the two corner pieces of the top layer will be the same color as that side (orange in our example).

How to solve and arrange a 3x3 Rubik's cube

Determine if the two front face corners are in the correct position, and swap them if necessary. In our example, the right face is green, and the left face is blue. Therefore, the right front face corner will be green, and the left front face corner will be blue. If not, you need to swap the two corners using the following algorithm:

How to solve and arrange a 3x3 Rubik's cube

Do the same with the two corners in the back. Rotate the cube to bring the other side (orange) in front of you. Swap the two front corners if necessary.

Another alternative, if you find that both the front and rear corner pairs need to be swapped, you can do this with a single algorithm (note its similarity to the previous algorithm):

How to solve and arrange a 3x3 Rubik's cube

2. Corner piece orientation

Determine the top color of each corner piece (in our case, yellow). You only need to know a single algorithm to orient the corner pieces:

How to solve and arrange a 3x3 Rubik's cube

The algorithm will cause the three corner pieces to rotate on their own at the same time (from the edge position to the top position). The blue arrows will show which three corner pieces you are rotating, and in which direction (clockwise). If the yellow pieces are in the correct positions as shown in the image and you have run the algorithm once, you will have the four yellow pieces at the top:

How to solve and arrange a 3x3 Rubik's cube

You can also use the symmetric algorithm (here the red arrow shows counterclockwise rotation):

How to solve and arrange a 3x3 Rubik's cube

How to solve and arrange a 3x3 Rubik's cube

Note: solving one of these algorithms twice is equivalent to solving the other. In many cases, you will need to solve an algorithm more than once:

Two corner pieces are in the right direction:

How to solve and arrange a 3x3 Rubik's cube

No corner pieces are in the correct orientation:

How to solve and arrange a 3x3 Rubik's cube

In general, (3.a) applies in the following cases:

How to solve and arrange a 3x3 Rubik's cube

3. Permutation of edge pieces

You only need to know one algorithm for this step. You should check whether one or more edge pieces are in the correct position (at this point, their orientation is not important).

If all the edge pieces are in the correct position, you are done with this step.

If only one edge piece is in the correct position, use the following algorithm:

How to solve and arrange a 3x3 Rubik's cube

Note: solving one of these algorithms twice is equivalent to solving the other algorithm.

If all four edge pieces are in place, you can proceed with either algorithm once from any side. You will have a single edge piece in place.

4. Orient the edge pieces

You need to use two algorithms for this final step:

How to solve and arrange a 3x3 Rubik's cube

Note that DOWN, LEFT, UP, RIGHT, is the order of most Dedmore "H" and "Fish" type algorithms. You only need to remember one algorithm:

How to solve and arrange a 3x3 Rubik's cube

If all four edge pieces are upside down, you should proceed to solve the "H" shape algorithm from any side, and you will need to proceed to this algorithm again to solve the Rubik's cube.

Congratulations! You have solved the Rubik's Cube.

Part 4: Notes

1. This is the key to all annotations used in the article.

The pieces of a Rubik's cube are called Cubes, and the colored areas on a Rubik's cube are called cells.

Rubik has three types of pieces:

  • The middle piece (or center piece), is located in the middle of each face of the Rubik's cube. There are six pieces in total, each with a different colored square.
  • Corner pieces (or corner pieces), located at the corners of the Rubik's cube. There are eight pieces in total, each with three colored squares.
  • The edge piece (or adjacent piece), lies between each pair of adjacent corner pieces. There are 12 pieces in total and each piece has two colored squares.

Not all Rubik's cubes have the same color. The color used for illustration in this article is called BOY (because the Blue, Orange, and Yellow faces are in clockwise order).

  • White opposite yellow;
  • Blue is opposite to green;
  • Orange is opposite red;

2. This article uses two different perspectives on the Rubik's cube:

3D view, showing three faces of the Rubik's cube: the front face (red), the top face (yellow), and the right side face (green). In Step 4, the algorithm (1.b) is illustrated with an image showing the left side face of the Rubik's cube (blue), the front face (red), and the top face (yellow).

How to solve and arrange a 3x3 Rubik's cube

Top view, showing only the top face of the Rubik's cube (yellow). The front face is at the bottom (red).

How to solve and arrange a 3x3 Rubik's cube

3. For the top-down view, each small bar represents the location of an important colored square. In the figure, the yellow square of the top back corner piece is located on the top (yellow) face, while the yellow square of the top front corner piece is both located on the front face of the Rubik's cube.

How to solve and arrange a 3x3 Rubik's cube

4. If the colored box is gray, it means that its color is not important at that time.

5. The arrows (blue or red) show the effect of the algorithm. For example, for algorithm (3.a), it will make the three corner pieces rotate around themselves as shown in the figure. If the yellow squares are at the same position as in the figure, when the algorithm finishes, they will be on top.

How to solve and arrange a 3x3 Rubik's cube

  • The axis of the rotation is the large diagonal of the Rubik's cube (from one corner to the other corner of the Rubik's cube).
  • The blue arrow is used to represent the clockwise rotation direction (algorithm (3.a)).
  • The red arrow is used to represent the counterclockwise rotation direction (algorithm (3.b), symmetrical to (3.a)).

6. Looking down, the light blue square shows that an edge piece is oriented incorrectly. In the figure, both the left and right edge pieces are oriented incorrectly. This means that if the top square were yellow, the yellow squares of these two edge pieces would not be on top, but on the side faces.

How to solve and arrange a 3x3 Rubik's cube

7. For step annotations it is important that you always look at the Rubik's cube from the front.

How to solve and arrange a 3x3 Rubik's cube

Some examples of steps to take:

How to solve and arrange a 3x3 Rubik's cube

Tips for solving 3x3 rubix

Practice. Spend some time with your Rubik's Cube and learn how to rotate it in different directions. This is especially important when you are learning how to solve the first layer.

Know the colors of your Rubik's Cube. You need to know which color is opposite which color, and the order of all the colors around them. For example, if white is on top and red is in front, then you need to know that blue is on the right, orange is behind, green is on the left, and yellow is on the bottom.

For those who like to solve Rubik's cubes quickly, or those who don't like the difficulty of solving the cubes, you can look into DIY kits. The cubes have rounder inner corners and DIY kits will allow you to adjust the tightness, making it easier to move the cubes. Consider lubricating your cube with a silicone-based lubricant.

You can start with the same colors as in the article to help you better understand the position of each color, or try to choose colors that make it easier for you to line up the cross.

Locate the four edge pieces and try to think ahead about how to move them into place without actually doing it. With practice and experience, this method will teach you how to solve it in just a few steps. And in competition, participants have 15 seconds to look at their cube before the timer starts.

Understand how the algorithm works. As you work through the algorithm, try to follow the key pieces of the Rubik's Cube to see where they move. Try to look for patterns in the algorithm. For example:

  • In the algorithm (2.a) and (2.b) used to permute the corner pieces of the top layer, you perform four steps (once completed, all the bottom and middle layers of the Rubik's cube will be returned to the middle layer), then flip the top face down, and perform the reverse of the first four steps. So this algorithm does not affect the top/bottom and middle layers.
  • For algorithms (4.a) and (4.b), you should remember that you are rotating the top layer in the same direction as the direction you need to rotate the three edge pieces.
  • For algorithm (5), the "H" shaped Dedmore form, one way to remember the algorithm is to trace the path of the flipped edge piece on the top right face and the pair of corners around it during the first half of the algorithm. Then, during the second half of the algorithm, you should trace the flipped edge piece and the remaining pair of corners. You will notice that you have taken five steps (seven if you count the half rotation as two steps), then rotated the top face in half, reversed the first five steps, and finally rotated the top face in half again.

Going further. Once you have mastered all the algorithms, you can look for faster ways to solve the Rubik's Cube:

  • Solve the corner piece of the first layer together with the edge piece of the middle layer in one step.
  • Find the algorithm for orienting the corner piece of the last layer in five cases requiring two algorithms (3.a/b).
  • Learn an algorithm to permute the corner pieces of the last layer in two cases when none of the edge pieces are in the correct position.
  • Learn the algorithm for the case where all edge pieces of the last layer are reversed.

The layer-by-layer method of solving the Rubik's Cube is just one of the many methods that exist in the world. For example, the Petrus method, which solves the Rubik's Cube in fewer steps, involves completing a 2×2×2 Rubik's Cube, then expanding it to a 2×2×3 Rubik's Cube, adjusting the orientation of the edge pieces, building a 2×3×3 cube (two layers already solved), placing the remaining corner pieces in the correct positions, orienting them, and finally arranging the remaining edge pieces in the correct positions.

Going one step further. For the final layer, if you want to solve the cube quickly, you need to break the last four steps into two-step steps. For example, permute and orient the corners in one step, then permute and orient the edges in one step. Or you can choose to orient all the corners and edges in one step, and permute all the corners and edges in one step.

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