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