79 votes
Accepted

Does the Rubik's Cube in this painting have a solved state?

Oo, this is a good one. Let's do some analysis: We can see the centres of three sides, and the relative positions of the centres cannot be changed, so we know that when/if this cube is solved, the ...
Bass's user avatar
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40 votes

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

There are three techniques that allow you to come up with useful move sequences for solving a cube. Conjugation This is where you already have a move sequence that does one thing and allows you to ...
Jaap Scherphuis's user avatar
39 votes
Accepted

Mathematical Proof of a Rubik’s Cube

The question is a bit unclear - it sounds like you're asking "Given a sequence of moves A, is there always some number of repetitions of A that will get you back to the start state?" This is ...
Deusovi's user avatar
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39 votes
Accepted

How do I solve this cube?

Took a bit of time to assemble a cube with that pattern, but it can be solved:
fljx's user avatar
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34 votes
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How many cubes can we fit in?

The answer is Because I do hope the explanation and pictures suffice with no real need for a geometrical argument, because I'm not sure I can give a rigorous proof. This solution was found by ...
Jonathan Allan's user avatar
32 votes
Accepted

Will tiles on a solved rubik's cube always be in the same position?

You shouldn't think about the cube in terms of tiles, but on the mini-cubes it is split into, sometimes called cubies or cubelets. There are 26 of these (3*3*3 minus the center), and there are 3 types....
Kruga's user avatar
  • 3,652
29 votes
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CSE Hex Cube Puzzle

At last, this is solved. Let's first look at something on the solved cube Face by face... Given that, let's just try the following : Still looks like gibberish I was stuck a fair while here, ...
Lukas Rotter's user avatar
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25 votes
Accepted

Barely Illegal Rubik's Cube State

We can see Therefore But the centre pieces tell us that Which is a contradiction. Therefore this cube cannot be solved.
happystar's user avatar
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18 votes
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Adjusting wrongly assembled Rubik's Cube

There is never a particular piece that is the wrong one, but you can find out how to fix it. There are three conditions that a solvable position must satisfy. The permutation parity must be even. ...
Jaap Scherphuis's user avatar
17 votes
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Rubik's cube's face into date

A Rubik's cube has six faces, so there are six different colors to work with. This suggests to me that it's So I changed each of the dates into Thus the colors represent: Read the pattern from the ...
Joe's user avatar
  • 1,166
17 votes
Accepted

Rubik's Cube Photo Review

They all
Lanny Strack's user avatar
  • 6,058
16 votes

Rubik's cube two-person game

Answer: Reasoning:
xnor's user avatar
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16 votes
Accepted

How do I solve the top yellow layer of the Rubik's cube?

I'm afraid this is not possible to solve using normal moves. Two things could have happened: 1. The cube was taken apart or some pieces popped out, and then it was reassembled incorrectly. 2. The ...
Jaap Scherphuis's user avatar
16 votes
Accepted

Can you make a Rubik's Cube pattern with a 4 color flower on every side?

Something like this?
Kevin Cruijssen's user avatar
16 votes
Accepted

Worst way to solve Rubik's in one algorithm

It seems like you are trying to find One such example that satisfies this is In particular, As mentioned by armb in the comments, there is a good answer here discussing the maximum orders for an $n ...
hexomino's user avatar
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16 votes
Accepted

Can you solve this Rubik's cube from inside of it?

The password is First, solve the Rubik's Cube. Now to find the password.
Woofmao's user avatar
  • 1,580
15 votes

One Hundred Prisoners and a Rubik's Cube

They simply decide on 98 different valid Rubik's cube states at the beginning of the game and denote them 1 to 98. On the first day, the prisoner leaves the cube in any state apart from the pre-...
ghosts_in_the_code's user avatar
15 votes

How many cubes can we fit in?

I believe you can place You can do so by
Wesley Situ's user avatar
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15 votes

How many cubes can we fit in?

My answer is This is reached by
Etoplay's user avatar
  • 997
15 votes
Accepted

Rubik's Chess Puzzle

Sleafar's user avatar
  • 18k
14 votes
Accepted

Can you build a Rubik's cube?

Jaap Scherphuis's user avatar
14 votes
Accepted

Flags in all faces in rubik cubes

To start off, we can reduce the number of flags to look at with some simple deductions. The only national flags able to be made on a rubik's cube, would be ones of either 3 horizontal or vertical ...
Timoris's user avatar
  • 1,321
14 votes

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

Is everything else on the cube solved? Because if it is, this isn't solvable. Swapping just two pieces (applies to both corners and edges) on a regular 3x3x3 Cube isn't possible. It is possible to ...
Kevin Cruijssen's user avatar
13 votes

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

Logic Every method for solving a Rubik's Cube comes down to algorithms at some stage. These algorithms are a set of moves which you memorise and perform when a set of criteria is met. For example, ...
Aric's user avatar
  • 704
13 votes

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

I can speak as someone who solved the Rubik's cube "without knowing the rules behind it". I solved it by myself, when I was in high school, with no instruction beyond watching some guy solve it one ...
alexis's user avatar
  • 291
12 votes
Accepted

What's wrong with this parity?

You have both OLL and PLL parity that can occur on all even layered cubes (4x4, 6x6, 8x8, etc.) Use the following algorithm to fix the OLL parity: ...
Kevin Cruijssen's user avatar
12 votes

Is there some oil, grease, or substance I can find at home or in the garage or office to lubricate a speed cube?

You should try silicone spray aerosol, you should be able to find it in any hardware store. It seems my answer is too short, so I'll add a little poem, I hope it will please you guys. ...
ThEBiShOp's user avatar
  • 323
12 votes

Rubik's cube two-person game

Two answers so far, but no proper justification. If both Solver and Unsolver make one move per turn, Unsolver wins (if Solver didn't on first move). It suffices to prove that from any unsolved ...
user21820's user avatar
  • 1,129

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