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...