Group Theory
and
Rubik's Cube

Fall 2015
course
navigation

assignments

  due Tue Sep 8

getting started

  due Tue Sep 15

commutators and the dihedral group

  due Tue Sep 22

permutations and cycle notation

+----------+ | | | 1 2 | | | | 4 3 | | | +----------+----------+----------+----------+ | | | | | | 6 5 | 15 16 | 17 20 | 21 24 | | | | | | | 7 8 | 14 13 | 18 19 | 22 23 | | | | | | +----------+----------+----------+----------+ | | | 9 12 | | | | 10 11 | | | +----------+ Now if I rotate the top face that has the numbers one through four, the numbers below also cycle. In the permutation notation from class, this move is then rotate_top = (1,2,3,4)(15,6,21,17)(16,5,24,20) What are some of the other moves on the 2x2x2 cube in this notation?
  due Tue Sep 29

odd, even, 2x2x2

  due Tue Oct 6

conjugacy & continue 2x2x2 Rubik

  due Tue Oct 13

solving the cube - class discussion

  due Tue Oct 20

hendricks days

  due Tue Oct 27

solving the cube - your method

  due Tue Nov 3

change ringing

  due Tue Nov 10

final project proposal

  due Tue Nov 17

wallpapers

  due Tue Nov 24

four dimensions

  due Tue Dec 1

physics

  due Tue Dec 8

project presentations

  due Fri Dec 11

final project submission

 

course grade

http://cs.marlboro.edu/ courses/ fall2015/rubik/ special/assignments
last modified Tuesday December 15 2015 1:28 am EST