Thurs Jan Feb 10

 * go over homework:
     - permutation problems
     - elements of a permutation group conjugate to others
     - solid cube group in detail (see solid_cube.txt)
     - 2 moves from solved, Rubik counting

 * solid cube : Jim's big table

 * Notation for Rubik Cube - similar to solid cube R, F, L, B, U, D 
     ( asides:  * right-to-left vs left-to-right
                * quarter turns vs "any rotation"
                * slice rotations )

 * Inverse of (ABC) as (C'B'A'). 

 * rubik cube corners

     * RFR'F' and cyclic decomposition analysis

     * (RFR'F') B (RFR'R')' B'  does what?  (think COMMUTATOR!)

 * 3-cycles of edges under RFR'F'

 * counting the number of possible positions : 
    * flippiness
    * turniness
    * parity