How many variations of a Rubik s Cube are there? What are the Rubik s Cube techniques?

Second-order Rubik's Cube. The total number of changes is 3,674,160 or approximate.

Third-order Rubik's Cube. That is, the ordinary Rubik's Cube, don't look at the Rubik's Cube only 26 small pieces, the relative position can change only 20 pieces, but it has changed a lot, once a company advertised when selling the Rubik's Cube that there are 3 billion kinds of Rubik's Cube changes, some people commented, this is equivalent to McDonald's proudly announcing that they have sold 100 hamburgers around the world.

Finish. Rubik's Cube variations have (8!.)*3^8*12!

2 12) (3*2*2)=43,252,003,274,489,856,000, which is equal to or 432.5 billion variations, and the total number of changes in the third-order Rubik's Cube is as follows: 8 character blocks are all arranged.

8!, and each character block has 3 orientations, so it's 8!*3 8, 12 prismatic blocks are all arranged, each has 2 orientations, and it is 12!

2 12, so multiplication is the numerator, and the meaning of 3*2*2 on the denominator is to keep the other color blocks unmoving, you can't change the direction of a character block alone, change the direction of a prismatic color block, and exchange the position of a pair of color blocks separately.

If you can turn the Rubik's Cube 3 times a second, not counting repetitions, you also need to turn 454.2 billion years to turn all the changes in the Rubik's Cube, which is about 30 times the current estimate of the age of the universe. The gameplay of the normal Rubik's Cube requires you to memorize more than 60 algorithms, and in my experience, if you don't play the Rubik's Cube every day.

, the algorithm forgets quite quickly. Although the Rubik's Cube has only 6 sides and 6 colors, it can be changed in an unbelievable number of states.

Fourth-order Rubik's Cube. It is considered to be the most difficult to restore the 2-5 Rubik's Cube, although the 5th Rubik's Cube has more variations than the 4th Order, but the 4th Rubik's Cube does not have a central block, so it cannot be restored by ordinary methods.

The total number of state changes in the fifth-order Rubik's Cube is: 282,870,942,277,741,856,536,180,333,107,150,328,293,127,731,985,672,134,721,536,000,000,000,000,000,000.

Rubik's Cube Ruler Restoration Method:

1. Layer-by-layer reduction: layer-first method, CFOP and its derived VH, etc. In essence, the method of layer-by-layer restoration is based on the optimization of the layer first (step merger).

2. Block construction: Petrus and bridge block construction are a technique of the smallest step, which mainly applies the method of block construction ideas, and generally has fewer restoration steps.

3. Group reduction: EO-line (this method is a combination of group reduction and layer-by-layer) A class of methods produced by group theory in the part of the hue reduction in the blind twisting method.

4. Separation of edges and corners: edge-first method, angle-first method.

5. Block-by-block cycle: The four-step blind twisting method, M2R2, and the two-step blind twisting method are all block-by-block cycle ideas to restore the third-order Rubik's Cube.

The twisting direction of the Rubik's Cube:

u(u') represents the rotation of the top layer by 90° clockwise (counterclockwise), and u2 represents the rotation of the top layer by 180°.

r(r') means to rotate the right side 90° clockwise, and R2 means to rotate the right side 180°.

l(l') means to rotate the left side (counterclockwise) by 90°, and L2 means to rotate the left side by 180°.

f(f') means to rotate the front 90° clockwise, and f2 means to rotate the front 180°.

u（u') represents the 90° rotation of the upper two layers clockwise, and U2 represents the 180° rotation of the upper two layers.

x(x') represents 90° rotation of the entire Rubik's Cube in the direction of r (counterclockwise), and x2 represents 180° rotation of the entire Rubik's Cube in the direction of r.

y（y') represents the rotation of the entire Rubik's Cube 90° clockwise (counterclockwise) in the direction of u, and y2 represents the rotation of the entire Rubik's Cube by 180° in the direction of u.

z(z') represents a 90° rotation of the entire Rubik's Cube in the direction of f (counterclockwise), and z2 represents a 180° rotation of the entire Rubik's Cube in the direction of f.

The easiest way to restore the Rubik's Cube:

1.First, the side with the white block in the middle (the one with the rubiks logo) is facing the top, and then make a white cross at the top, that is, the other colored blocks are in the corresponding position of Qi Fu.

2.Then it is to return the white corner blocks to their positions.

3.Then let the middle edge block be homed. Turn the white side downward, find the red and green edge blocks, if the red and green edge blocks are on the top layer, then rotate the top layer in a clockwise direction until the side blocks are the same as the one on the diagram, and then rotate the magic core according to the formula to make the edge blocks return to position.

If the red and green edge blocks are in the middle layer, but the position or color is wrong, first make the red and green edge blocks in the front right position, and then rotate them again in one of the following orders.

4.Then adjust the top edge block upwards to make a yellow cross. If the yellow cross does not appear on the top layer after 1 rotation of the formula, you can repeat the rotation until the yellow cross appears.

5.Then adjust the yellow corner blocks around the cross.

6.Usually at this time, the yellow block and the side color will be misaligned, and the yellow block at the four corners will be positioned according to the formula.

7.Finally, adjust the color blocks on the edge to the corresponding position.

Common terms: nth order: order refers to the number of blocks common to the two adjacent rotating surfaces of the main body of the Rubik's cube, for example, there are 3 small pieces on each side of the third-order Rubik's cube, and there are 5 blocks on the two adjacent rotating surfaces of the pyramid Rubik's cube, but the main part only has 3 blocks, so it is also third-order.

Restoration: refers to the process of going from a non-original state to an original state of the Rubik's Cube.

sub: The original text is "subtraction", the original meaning is "subtraction, less than", here it means "under xx seconds". Example:

3 3 blocks sub30 means that the average speed is less than 30 seconds. The calculation method is to remove the fastest and slowest two times after 5 timing restorations and take the average value.

DNS: The abbreviation of "did not start" refers to the waiver of a recovery opportunity and the failure to start recovery, that is, abstaining before the start of recovery.

There are roughly two kinds of Rubik's cubes, the conventional ones are the second order, the third order, the fourth order, the fifth order, the sixth order, and the seventh order. (It is said that there are two ninth-order productions, and I have seen **, but I don't know how the real thing is.) ）

The other is the alien Rubik's Cube, which is roughly as follows:

Mirror Rubik's Cube (there are two kinds of monochrome and six-color, the difficulty of monochrome is higher) Shifting Rubik's Cube (there are two kinds of monochrome and six-color, the difficulty of six-color is higher) Pyramid Rubik's Cube.

Zongzi Rubik's Cube. Sector Rubik's Cube, two kinds. Also called SQ1 and SQ2

The pyramid's sq1, the new design special-shaped Rubik's cube, is difficult to see on the market for the time being, and it is also very expensive!!

Prism Rubik's Cube. Hollow Prism Rubik's Cube.

Horn-only Rubik's Cube. Rainbow Rubik's Cube.

Eight-diamond Rubik's Cube (there are two types: three and five layers).

Rubik's Cube. Widen the Rubik's Cube.

Five Rubik's Cube Hollow Rubik's Cube.

Diagonal Rubik's Cube.

That's a lot: first-order, second-order, third-order, fourth-order, fifth-order. Thirteenth Order, Mirror Rubik's Cube, Five Rubik's Cube, Heart-shaped Rubik's Cube, Apple-shaped Rubik's Cube, Egg-shaped Rubik's Cube, Drum-shaped Rubik's Cube, Barrel-shaped Rubik's Cube, Triangle Rubik's Cube, Zongzi Rubik's Cube, Gear Rubik's Cube.

There are many of them. Our common ones are generally of the third order, that is, there are 9 figures per face. Then there are second-order, fourth-order, fifth-order, and now it seems that there is a technology that can make a physical Rubik's cube up to the 11th order, that is, there are 121 squares on each side.

Computer simulations can do many things. There is also a first-order one that is also more special. This is more conventional.

There are also heterosexual Rubik's cubes, that is, the shape is not a cube, there are pyramids, there are zongzi, there are spherical, heart-shaped, and so on.

There are also 3*3*5 and so on, which are cuboid-shaped.

It is mainly divided into ordinary Rubik's cube and special-shaped Rubik's cube, and ordinary Rubik's cube is known to be common, third-order, fourth-order, fifth-order, etc., and there are many special-shaped Rubik's cube styles.