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
  • 77.3k
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
  • 146k
29 votes
Accepted

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
  • 10.3k
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
  • 7,534
24 votes
Accepted

What is the name (and brand / year) of this puzzle?

After searching around, going through Hungarian Rings, I finally stumbled on Radosza's Rings, which seem to be educational toys. Link
JonTheMon's user avatar
  • 9,890
18 votes
Accepted

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
Accepted

Rubik's Cube Photo Review

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

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
  • 136k
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

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

I haven't solved the 3x3x3 Cube myself. I bought mine in 2010, and used a tutorial to solve it. In 2012 I started a twisty puzzles collection, and I currently have more than 350 puzzles in my ...
Kevin Cruijssen's user avatar
12 votes
Accepted

On The Subject of Rubik's Cube

I believe the answer is First, note that... Then...
mbingo's user avatar
  • 1,231
12 votes
Accepted

How to make a Rubik's Cube look like a die?

I will assume that the pips of a number do have to be the same colour, with the background an arbitrary mix of the other 5 colours, and that the six numbers must be on six different faces (e.g. you ...
Jaap Scherphuis's user avatar
11 votes
Accepted

Name of Rubik's Cube position with swapped corners & centers

This is the superflip, the position of a 3x3x3 cube where all edge pieces have been flipped in place, but applied to a 5x5x5 cube using only its outer layers. My preferred method for doing this is the ...
Jaap Scherphuis's user avatar
11 votes
Accepted

Twisty puzzle composed of hexagonal prisms, with As and diamonds

It was first released in June 2004 by Mefferts under the name Jackpot, and later it was renamed Platypus, and after that the New Generation Puzzle. It probably was sold under other names as well. See ...
Jaap Scherphuis's user avatar
10 votes

3x3x3 Rubik's Cube Illegal State

The problem that occurs on your 3x3x3 Cube is called Void Parity. When you solve a Void Cube you can have everything solved, except for two swapped corners. This is due to the "centers" not being at ...
Kevin Cruijssen's user avatar
10 votes
Accepted

How to Flip Adjacent Edges like this

Why so complicated? You can use even a simpler combo. First, move the other flipped edge to the opposite side. If BLUE is Front and ORANGE is Left do: Moving the orange edge to the opposite side: L',...
Jazzer's user avatar
  • 216
10 votes
Accepted

Cube Scrambling

For a scramble to be any good, at the very least you would want every pair of adjacent pieces to become separated at least once during the scramble. You don't want any blocks to remain unscrambled, ...
Jaap Scherphuis's user avatar
10 votes
Accepted

A rubik's cube that fights back

The cube is definitely defeatable if The way to beat the cube is to If this method is considered too trivial and against the spirit of the rules, you can still do it for by making use the non-...
Jaap Scherphuis's user avatar
9 votes
Accepted

Single solved state for Sudoku Pyraminx

Brute force shows that for the example there are: $8$ solutions if rings are not considered* $0$ solutions if rings are considered* Call the left of the three faces at the top of your net $L$, ...
Jonathan Allan's user avatar
9 votes
Accepted

Is twisting a corner of a Rubik's cube a valid move?

It's obviously not a valid move. Many 3x3x3 speed cubes are very loose, but in my opinion the best ones are just tight enough to not allow a corner to be twisted in isolation. I don't think there are ...
Jaap Scherphuis's user avatar
9 votes
Accepted

Rubik's Cube: Does going from one arbitrary configuration to another have same God's Number as solving it?

There is nothing special about the solved state. Solving the cube means achieving a particular permutation of the cubelets' faces; that's true whether what you're trying to end up with is the state we ...
Gareth McCaughan's user avatar
9 votes

Barely Illegal Rubik's Cube State

Here's one way to show the cube cannot be solved: Suppose the bottom face is white. Then the corner piece with yellow and white visible is in the right place, and is the fourth blue corner. That means ...
Rob Watts's user avatar
  • 5,956
8 votes
Accepted

$4\times4\times4$ Rubiks cube Top Layer Issue

It's a 4x4 Parity. The algorithm to solve is, $(2R)^2U^2(2R)^2u^2(2R)^2(2U)^2$ Where $2R$ is the second layer from right, $U$ is the top layer, $u$ is top two layers combined, $2U$ means second ...
19aksh's user avatar
  • 3,933
8 votes
Accepted

Rubiks Cube 4x4x4 Top Layer Issue - One Edge Pair Flipped

The algorithm is $r \ U^2$ - X - $r \ U^2 \ r\ U^2 \ r' \ U^2\ l \ U^2 \ r' \ U^2\ r \ U^2\ r' \ U^2\ r'$ Where $r$ means you have to turn two layers from the right upwards and $r'$ means ...
19aksh's user avatar
  • 3,933

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