Thurs March 9
Old business:
* groups of order 8: there are 5 different ones.
(see "resources" course webpage)
* project proposals
* RF rubik group:
- can you cycle three corners !?
- harder than I expected...
(I) You can solve the edges without touching the corners.
1 5
2 4 6
3 7
Look at A = (R2F2)3 : exchanges (13)(57)
Then B = F A F' does (24)(57).
Then C = R A R' does (46)(13)
Then B C does (246)(13)(57) and A B C does (246) which cycles 3 edges.
Continuing, F ABC F' cycles (136) and likewise R ABC R' cycles (257).
* _lots_ of ways to exchange 2 pairs.
* some ways to cycle 5.
New business:
* Have a nice break...