resources

puzzles

• Rubik's Cube
• TopSpin
• Jaap's Puzzle Page
  • by photo
• Magic Cube 4D (four dimensional Rubik's)

math online

a good group theory textbook

• Everything you wanted to know about abstract algebra but were afraid to buy.
• Downloadable PDF.
• Chapter 5 in particular, Permutation Groups, are the core theory of Rubik's Cube.

other

• wikipedia:group (mathematics)
• intro group theory at dogschool
• wikibooks: abstract algebra / groups
• wikipedia:group theory
  • wikipedia:classification of finite simple groups
• The abstract group concept
• mathworld: finite group

• On-Line Encyclopedia of Integer Sequences

software

• GAP (Groups, Algorithms, Programming) a system for computational discrete algebra

books

• Winning Ways for your Mathematical Plays (in the library)
• Adventures in Group Theory : Rubik's Cube, Merlin's Machine, and Other Mathematical Toys, by David Joyner (2002)

other

• 2011 version of this course
• 2008 version of this course
• copyright and plagiarism