MHB How Does Group Theory Apply to Solving a Rubik's Cube?

Click For Summary
Group theory is fundamentally linked to solving a Rubik's Cube, particularly through concepts of symmetry and permutations. The discussion highlights confusion over a specific claim related to Galois theory and its application to the cube. One participant successfully solved the cube despite a twist, suggesting that the integrity of the cube remains intact regardless of the manipulation. The conversation indicates a need for clarity on the mathematical principles involved. Understanding these connections is essential for deeper insights into both group theory and the mechanics of the Rubik's Cube.
jza
Messages
6
Reaction score
0


Does anyone know what this guy is on about?

I understand some of the basics of group theory and I know there's a connection between Galois theory and the solving of a Rubik's cube, but I'm not sure what law he is even trying to disprove here. I'm assuming something with regards to symmetry or successive permutations.
 
Physics news on Phys.org
I tried it, solved the cube. He twisted a piece while doing his "Algo".

Nothing broken I guess :)
 

Similar threads

Undergrad Differences between left vs right actions in some group theory questions
  • · Replies 1 ·
Replies
1
Views
473
MHB What Is the Upper Bound of Groups of Order in Finite Group Theory?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Tensor symmetries and the symmetric groups
  • · Replies 1 ·
Replies
1
Views
2K
Is My 1980s Rubik's Cube a Knockoff?
  • · Replies 23 ·
Replies
23
Views
3K
How can group theory be applied to improve Rubik's cube solutions?
  • · Replies 5 ·
Replies
5
Views
9K
High School Are real theories undiscoverable from effective field theories?
  • · Replies 4 ·
Replies
4
Views
2K
The Benefits of Solving a Rubik's Cube
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Create Hamiltonians in condensed matter with group theory
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Normal modes using representation theory
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Group Theory Appearing in Griffith's Elementary Particles (2nd Ed.)
  • · Replies 20 ·
Replies
20
Views
2K