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.