Rubik 39;s Cube Solver 3x3
The method presented here divides the cube into layers and you can solve each layer applying a given algorithm not messing up the pieces already in place. You can find a separate page for each one of the seven stages if the description on this page needs further explanation and examples.
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Watch the cube being solved layer-by-layer with this method: It fixes the white edges, corners then flips the cube to solve the second layer and finally completes the yellow face. Press the Play button to start the animation
If you get stuck or you don't understand something, the online Rubik's Cube solver program will help you quickly fix your puzzle. All you have to do is input your scramble and the program will calculate the steps leading to the solution.
Until this point the procedure was pretty straight forward but from now on we have to use algorithms. We can forget the completed white face so let's turn the cube upside down to focus on the unsolved side.
After making the yellow cross on the top of the cube you have to put the yellow edge pieces on their final places to match the colors of the side center pieces. Switch the front and left yellow edges with the following algorithm:
Turn the top layer only to move another unsolved yellow piece to the front-right-top corner of the cube and do the same R' D' R D again until this specific piece is ok. Be careful not to move the two bottom layers between the algorithms and never rotate the whole cube!
Let's start with the white face. Try to form a plus sign on the top of the cube, matching the colors of the side stickers to the colors of the lateral centers. This step shouldn't be too hard, try to do this without reading the examples below.
Turn your cube upside down because we don't need to work with the white face anymore. We can insert an edge piece from the top-front position to the middle layer using a trick. Do the left or right algorithm depending on which side you have to insert the piece:
- Hold the cube in your hand having an unsolved yellow corner in the highlighted top-right-front position.
- Repeat the algorithm until this piece is solved.
- Turn the top layer to bring another unsolved piece in the highlighted position.
- Repeat R' D' R D until that one is also solved.
- Do 3 and 4 for any other unsolved yellow corner.
Start by selecting the most suitable view for you with the little tabs above the cube. The default 3D view can be customized, setting transparent front faces or you can lift the hidden faces. Rotate the cube with the arrows or swiping the screen.
When the scrambled colors are properly configured and are matching your Rubik's Cube click the Solve command to get the solution. The cube solver will alert you if your configuration is not correct.
Spend some time playing with the puzzle to familiarize with it before you read this solution tutorial and see how far you can get without help. Most people can solve one face after spending some time with the cube.
Play the animation for an example where the sequence is repeated five times. Watch the affected white corner going to the top then back to the bottom in each step, changing its orientation. The sixth would bring the cube back to its original position:
In the fourth step we want to form a yellow cross on the top of the cube. Don't worry if the side colors don't match the side centers because we will send the pieces to their final positions in the next step.
In some cases two opposite pieces have to be swapped which needs to be done in two steps. Perform the algorithm once, then rotate the cube to make sure you are changing the right pieces in the second round:
When you reach this point in the solution look for a corner piece which is in the right place. If you found one then reorient the cube in your hands so this specific piece is on the OK position and perform the formula. In some cases you have to execute it twice.
In the last step every piece is where it's supposed to be, but the yellow corners are oriented wrong. To complete our cube we will use the same algorithm we used to solve the first layer corners but with a little trick:
Start by holding the cube in your hand having a misaligned yellow corner in the highlighted Front-Right-Up spot (see image). Repeat the R' D' R D algorithm until this piece comes to the correct position with the yellow sticker upwards.
Possible Problem: The corner you are looking for is in the top layer, but in the wrong position or turned the wrong way around. Turn the cube so that the corner is in the front right top corner then move the corner to the bottom layer by following the following steps.
STEP 5 - COMPLETE THE THIRD LAYER CORNERS
(1) First we will put the corners in the correct position (A). You will now have either 0, 1 or ALL the corners pieces will be in their correct positions, either the right way up or reversed. If one corner piece is in the correct corner turn the cube to that this correct corner is in the front top right position. The piece is in the correct position, BUT may not be turned the correct way around.
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Before you even start trying to follow the numerous strategies for solving, get familiar with the vocabulary. This will make it easier to follow the confusing Rubik's cube algorithms and permutations you must use to solve it!
Whatever position the white cube is in now, repeat with the appropriate algorithm from above until the colors match up. There should be three of the same color on the top layer and one in the center of the second layer.
Hold your cube with the upper piece you want to orient in the front-right-top corner. Run through the below algorithm until that piece is in its correct position. Once that one is properly oriented, repeat the process until the next piece is in position, and so on, until the cube is solved.
The Fridrich Method works by dividing the cube into layers, which are solved individually using algorithms, rather than solving each face. It consists of four steps, outlined below, each with its own set of rules and algorithms.
There are 21 potential arrangements of your cube at this stage, which means that you have 21 different algorithms to learn. Once again, there are two different methods: two-look and one-look PLL.
There are 48 potential ways your cube could be arranged here. How you solve the cube will depend on the arrangement, so work through this collection of algorithms with lots of different variations to get the hang of them all.
I have written cube, so one can does moves on it, so the moves work well. I'm checking if the cube is solve by comparing it with the new one (not shuffle). I know it's not perfect, but it should work anyway...
As mentioned by @tarkmeper, rubik's cube have a huge number of combinations. A simple shuffling algorithm will not give you an answer. I would suggest you to make algorithms which solve cube based on it's initial state. As I solve the cube myself, there are 2 basic methods:
- Solve the cube layer by layer which is beginner's method =MaltgJGz-dU
- CFOP(Cross F2l(First 2 Layers) OLL PLL(oll, pll are algorithms)) =WzE7SyDB8vA (Pretty advanced) There have been machines developed to solve the cube but they take input as images of the cube.
I think implementing CFOP could actually solve your issue as it does not check for random shuffles of the cube but actually solves it systematically, but it would be very difficult.
For your implementation it would be much better to take data as a matrix. A rubik's cube has 3 parts: 1. Center(1 Color) 2. Edge(2 Color) 3.Corner (3 Color) There are 6 centers 12 egdes 8 corners. You would also have to take into account valid initial states as you cannot randomize it. What I could think up right now about a problem of this scale is to make 4 algorithms:
Getting to the bare bones of the cube itself: You would also need to implement moves which are F, F', R, R', L, L', B, B'. These are moves on the cube the ones with " ' " denote moving that face in anticlockwise direction with respect to the current face of the cube you are looking at. Imagine you are holding the cube, F is for front in clockwise, R is right in clockwise, L is left in clockwise, B is back in clockwise.
Some answers require 18 moves and when you have at least 12 moves every step you have 12^18 using breadths first search at worst. Computers are fast but not fast enough to solve the cube using BFS. It harder to see if it is possible to store all solution in a database as only moves that solve the cube are needed to be stored, but this is likely (see end game Chess tables).
Every solver of the Cube uses an algorithm, which is a sequence of steps for solving the Cube. One algorithm might use a sequence of moves to solve the top face, then another sequence of moves to position the middle edges, and so on. There are many different algorithms, varying in complexity and number of moves required, but those that can be memorized by a mortal typically require more than forty moves.
So you'