Kainberger P. Using Group Theory for Solving Rubik's Cube 2018

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Textbook in PDF format

We consider Rubik’s Cube mathematically using algebraic group theory. We will see that the 6 possible rotations on the cube generate a group. With the help of the computer algebra software GAP we will be able to calculate a guidance to solve the combination puzzle without using any solving techniques made for humans. Finally, we want to compare the quality of GAP’s solutions with those of a beginner’s algorithm for humans

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