All Questions
12
questions
2
votes
1
answer
275
views
Number of essentially different Rubik's cube permutations, or rather arrangements
I can find everywhere (e.g. wikipedia, ruwix.com and MIT) the information that the standard $3\times3$ Rubik's cube can be scrambled in $4.3 \times 10^{19}$ different configurations. These are ...
- 2,405
0
votes
0
answers
1k
views
Rubik's Cube with a missing color
Suppose a color of the Rubik's cube(3x3) is missing, is it possible to find the missing color? Now a brute force method would be solve for all other colors, but that is quite naive.
- 9,258
3
votes
0
answers
407
views
When solving a big Rubik cube (100x100x100), do you reduce the solution to like 50x50x50, and then 25x25x25, and then like 10x10x10 and then 3x3x3?
My question is about Rubiks cube.
Say you're solving a 100x100x100 cube (you can see examples in youtube by computer program - https://www.youtube.com/watch?v=0cedyW6JdsQ)
When solving a big Rubik ...
- 3,942
12
votes
2
answers
1k
views
Is it possible to shuffle a 3x3 Rubik's cube so that there's no more than 2 pieces of the same color in every face?
I'm not sure if this question belongs here but I see lots of Rubik Cube's questions around so here it goes:
Can I take a standard $3 \times 3$ Rubik's Cube and shuffle it so that, for every face, ...
- 123
3
votes
2
answers
778
views
Rubik's cube puzzle
If we cut along the plane orthogonal to the largest diagonal of a Rubik's cube, what is the maximum number of small cubes can we cut?
I thought this should be $9$, but apparently this is not the ...
- 22.5k
9
votes
2
answers
1k
views
All possible permutations on a Rubik cube ($3\times3\times 3$) can be reached from the initial state?
If I were to represent a state in the Rubik cube as a permutation of the colors on the 9 tiles per side on all sides of the cube, could I reach all possible states (i.e. colorings) by the permutations ...
- 213
3
votes
1
answer
813
views
Does solving a Rubik's cube imply alignment?
Today, I got my hands on a Rubik's cube with text on it. It looks like this:
Now, I would love to know whether solving the right cube will also always correctly align the text on the cube or whether ...
- 133
11
votes
1
answer
1k
views
Solving a scrambled $3 \times 3 \times 3$ Rubik's Cube with at most 20 moves!
I read somewhere that any scrambled form of $3 \times 3 \times 3$ Rubik's cube can be solved using at most $20$ moves, and I just said "wow"! I am wondering can we prove this by mathematical ways? Or ...
- 4,896
16
votes
2
answers
2k
views
Rubik's cube interesting questions?
The upper bound for the number of moves required to solve a regular Rubik's cube has been shown to be 20.
Two questions come to mind:
Does this result have more general significance?
What are the ...
- 2,280
5
votes
2
answers
916
views
How many ways can I make six moves on a Rubik's cube?
I am writing a program to solve a Rubik's cube, and would like to know the answer to this question.
There are 12 ways to make one move on a Rubik's cube. How many ways are there to make a sequence of ...
- 163
4
votes
2
answers
421
views
How is done the calculation of the minimum number of movement to solve any configuration of Rubik's Cube?
I have read a few weeks ago that some mathematical researchers have discover that the minimum number of movements to solve any initial configuration of a Rubik's cube has been downsized to 20.
How do ...
- 143
14
votes
2
answers
929
views
How many disconnected graphs of the Rubik's cube exist?
Let us say that a Rubik's cube in a particular configuration is in a particular "state". All other configurations of this cube (other "states"), which can be achieved by rotations of the cube can be ...
- 241