Questions tagged [rubiks-cube]

For questions about the Rubik's Cube and its variations.

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15
votes
4answers
32k views

Is it possible to use one sequence of moves to solve the Rubik's cube from any position?

Is there a sequence of moves that can be repeated over and over again which can solve any legal position the Rubik's Cube? If so what is it, and if there's more than one, what's the shortest? If not, ...
31
votes
4answers
19k views

Why is a single-corner twist not a valid position on a Rubik's cube?

For those of you familiar with the solution to the Rubik's cube, you will know that a single-corner twist is not a valid position. It can neither be attained by scrambling, nor can it be solved if it ...
3
votes
1answer
2k views

How can I switch 2 yellow corners that are on the same face from a 3x3 cube?

How can I switch there two corners?
8
votes
4answers
46k views

Swap the edges in a solved Rubik's cube

I have a rubik cube, which always have two swapped edges in the last layer. No matter which color I start with, there are always two edges in the last layer which remained swapped with each other. ...
15
votes
2answers
9k views

How do I become a sub-30 cuber?

I am a sub-50 cuber right now. I am currently using the Fridrich method, I take about 2-5 secs to solve the cross and I am learning the 21 PLL algorithms. I am learning one or two PLL every day. I am ...
13
votes
2answers
3k views

How many distinct unsolvable Rubik's cubes exist?

I wanted to answer this question: Why can't I have only one edge piece flipped on a 3X3 Rubik's cube? by saying that it is homomorphic to the illegal state in this question: Why is a ...
7
votes
1answer
2k views

Why can't I have only one edge piece flipped on a 3X3 Rubik's cube? [duplicate]

I was using the beginner method to deliberately solve a 3X3 cube with one edge piece flipped. But, by the time I got to the top I discovered that I couldn't solve it with only one edge flipped. I had ...
32
votes
12answers
37k views

How can one solve a Rubik's cube without relying on guides/algorithms?

I am wondering who is able to solve Rubik's cube just by thinking without knowing the rules behind it. As far as I know the inventor Ernő Rubik was professor of architecture and he intended to help ...
32
votes
7answers
15k views

Why does the 4x4 Rubik's cube have parity cases, while the 3x3 does not?

I'm a little uncertain as to why these two parity situations occur on the 4x4 Rubik's cube. The first parity case that can occur is this one, where an edge is simply flipped upside down: The ...
38
votes
4answers
156k views

What is the best method of scrambling a rubik's cube?

If I wanted to solve a physical Rubik's cube multiple times, for practice, what is the best, most random way, to scramble the solved cube? The best way I can think is to hold it behind my back and ...
38
votes
4answers
3k views

Turn 4x4x4 Rubik's Cube into 3x3x3 Rubik's Cube

I have a 4x4x4 Rubik's Cube, but all I want is a normal 3x3x3 Rubik's Cube. Luckily, I also have an unlimited supply of small pieces of tape. Each piece of tape can cover the face of two neighbouring ...
14
votes
3answers
17k views

What is the most efficient method to solve a Rubik's cube?

I know there are several different standard methods to solve a Rubik's cube, some easier, some more straightforward. It is known that the minimum number of moves to guarantee a solution is 20. Which ...
24
votes
8answers
5k views

How many cubes can we fit in?

You have a bag with many 3x3 Rubik's cubes . After solving all but one of them, you decide to play a new game. You take the unsolved cube, and start placing solved ones around it. The question: What ...
9
votes
2answers
20k views

How can I fix “stuck” positions on the Void Rubik's Cube (using the standard beginner's method)?

Sometimes, when solving the Void Rubik's Cube using the standard beginner method, it gets "stuck." What I mean by this is that the top edge of one face and the top edge of an adjacent face's colors ...
9
votes
6answers
1k views

A closed path on the Rubik's cube

Is it possible to draw a closed path on the surface of a standard $3\times3\times3$ Rubik's cube such that the path traverses each of the $54$ little squares exactly once, and such that the path ...
6
votes
3answers
26k views

Solving Rubik's cube with one algorithm [duplicate]

I was wondering if it's possible to solve a Rubik's cube just iterating a single algorithm. It doesn't matter how complex the algorithm is (as long as it is less than 1 million moves), nor the time ...
5
votes
3answers
5k views

What does it mean for a Rubik's cube to be perfectly scrambled, and how do you reach it? Without doing a checker board

Can you picture the perfectly scrambled cube? A Rubik's Cube that's perfectly scrambled? How would it look? Is it even possible? The quest for the Perfect Scramble is now upon us, and I challenge you ...
19
votes
5answers
17k views

Is it possible to scramble a Rubik's cube such that no two squares of the same color are touching?

My friend always insists on scrambling my Rubik's cube "perfectly" before giving it to me to solve. According to his definition, a "perfect" scramble must have no three of the same color touching (...
6
votes
7answers
4k views

How can I twist opposite corners on the top face of a 3x3 cube?

I have solved the bottom white layer and the second layer. I have almost solved the top layer also, but I have not able to solve the corner pieces. Normally I can solve this with the below sequence: ...
6
votes
2answers
3k views

How can I swap opposite corners on the same face of a 2x2 cube?

I've been experimenting with using Y-permutations to solve the 2x2 cube as described here. I ended up with the cube solved but for a single face where the opposite corners were swapped and disoriented....
8
votes
2answers
850 views

How Random does a 3x3x3 (or other rubik cubes) need to be in speed solving?

Is there a rule/method to know how "random" should the cube be when solving it? in order for it to be a "valid" score?
6
votes
3answers
3k views

Last 2 pieces in Rubik

I followed a guide in how to solve the Rubik Cube however from time ti time I incurr in a case that is not covered by guide and I obtain an almost solved Cube except for 2 pieces. Seems also the ...
5
votes
3answers
2k views

4x4x4 Rubiks Cube strategy

With a 4x4x4 cube, it's possible to apply the same strategies as for a 3x3x3, either treating it as a 3x3x3 with a double-width middle or else as a 2x2x2 and just working on the corner "quadrants". ...
4
votes
1answer
31k views

Rubik's cube with one disoriented corner [duplicate]

I have been trying to solve Rubik's cube using beginner's method provided here: https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-beginners-method/ I ended up with just one last corner ...
3
votes
1answer
290 views

Theoretical Question - Rubik's Cubes

I have a very basic question on Rubik's Cubes. Take any completely solved cube or skewb. Now pick out (with hand) any two similar pieces and swap their positions, without changing positions/...
2
votes
1answer
350 views

Dayan speed cube 3x3x3 all corners twisted?

I have solved 3x3x3 cubes as well as 4x4x4, 5x5x5, 6x6x6, 7x7x7 and the megaminx from some time now but this one is really bugging me. I won't consider my self an expert but I have not experienced ...
1
vote
1answer
33k views

How to swap two opposite corner pieces of a solved face?

I have a solved white face but I want to swap two opposite corner pieces of the white face to form a T-shape on the back face. How can I achieve this without messing up the other pieces on those two ...