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Mathematics behind the Rubik's Cube

52 Page project which talks about the Rubik's Cube in a Group Theory sense. As well as talking about effiency of algorithms when it comes to solving the cube

Topics Discussed:

Alternating and Symmetric Groups
Generators and Orbits
Illegal and Legal Rubik's Cube Group
2 by 2 cube and comparisons
Gods Algorithm

3D and 2D Representations of the Rubik's Cube in the CRAN R Package

Double Turn of the cube as a Cayley Graph

Please see the rcproject.pdf for the report.