Rubik's Cube Solutions plus Puzzles and 8Balls
Contents: Introduction #intro Cube Links #links Basic Cube Group Theory #basiccubetheory Rubik's Cube Solution #solution Cube Solution Supplement for Patterned Faces #patternsupplement Rubik's Revenge Solution #revengesolution Advanced Cube Group Theory #grouptheory My Cube and Puzzle Collection #cubefamily My old racing Rubik's Cube http://www.rubiks.com is wellworn and barely holds together. I gave it a lot of wear in June 1982 during the week between high school finals and graduation ../../scscards/liberty.html . A cube has 43,252,003,274,489,856,000 (over 4 X 10^19) different positions http://wwwgap.dcs.stand.ac.uk/~gap/Intro/rubik.html . This number is the product of 8! corner position permutations X 12!/2 edge position permutations X 3^8/3 corner twirls X 2^12/2 edge flips and factors as 2^27 X 3^14 X 5^3 X 7^2 X 11. If you take a cube apart, there are 12 different ways that you can put it together such no set of moves will take the cube from one of the 12 assemblies to the other. When I was in practice, I could solve a scrambled cube in about a minute using about 65 moves (counting slices as a single move). I usually do the top corners, three of the top edges, the bottom corners, the bottom edges, the last top edge, and then the center edges. A Rubik's Revenge Cube http://www.rubiks.com  
