Math 31
Topics in Algebra
Project
The project of this class will be to find a solution to the 2x2 Rubik's cube and to understand the connection with abstract algebra.
Material
To develop and understand a repertoire of cube moves you can use the following sheets and pictures:cube moves 1 (.pdf in color)
cube moves 2 (.pdf w/o color)
two cubes (picture)
Essay
The following topics should be included in the essay. The list of questions will be further expanded during the term:essay questions
Teams
 Jared, Muhammad, Nick, Thuyen |
 Allison, Ellen, Evan, Jack, Kirsten |
 Brian, Omar, Roviel, Ty, Tyler |
 Chase, Dylan, Jack, Molly, Yoga |
 Aaron, Ava, Brian, Edward, Paul |
 Colin, Haley, Jonathan, Robin, Ruihan |
Links
Ravi Fernando solves three cubes while juggling themMichel Gondry solves the cube with his feet
Cayley graphs of small groups
Animals that can count
Alexander Grothendieck