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

In summary, group theory is closely related to solving a Rubik's Cube as it provides a framework for understanding the structure and behavior of the puzzle. The basic principles of group theory, such as the concept of a group, apply to the Rubik's Cube and its movements. There are approximately 43 quintillion possible combinations on a Rubik's Cube. Group theory can be used to create algorithms for solving the puzzle, leading to advanced solving techniques like the Fridrich method. The study of group theory has greatly advanced our understanding of the Rubik's Cube and has also contributed to other areas of mathematics and computer science.
  • #1
jza
6
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.
 
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  • #2
I tried it, solved the cube. He twisted a piece while doing his "Algo".

Nothing broken I guess :)
 

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