Here are
some interesting links to the pages and documents explaining the mathematics behind the Rubik’s Cube.
§
http://web.usna.navy.mil/~wdj/rubik_nts.htm
-- containing fairly interesting and advanced lecture notes by W. D. Joyner.
§
http://match.stanford.edu/bump/rubik.html
-- Lecture notes on the Rubik’s Cube by Daniel Bump.
§
http://kociemba.org/cube.htm -- Cube
Explorer, the Rubik cube solver with the description of the algorithm it uses.
§
http://www.geocities.com/jaapsch/puzzles/cubie.htp
-- A virtual Rubik’s Cube and solver, written by Jaap Scherphius.
§
http://geometer.org/rubik/ -- Rubik’s
Cube Simulator homepage.
§
Mathematics behind the Rubik’s Cube – a book by W. D.
Joyner.
§
26 moves suffice – a paper in which it is
shown that 26 moves suffice to solve the Cube.
§
25 moves suffice – a very recent paper, in which
it is shown that 25 moves suffice to solve the Cube