Homework

Much of this will have been done in class.... I would prefer if you did this all as group work; however, this is not necessary.

Q1
Q2
Q3
Q4
Q5(doubles as part III below)
Q6
Q7

Homework I: Prepare GSP sketches for Theorems 1-5

Homework II: Analyze each of the pictures of planar symmetry at the beginning of section Regular Patterns and at the end of section Rules of the Game;
Identify all mirror lines and centers of rotation. If there are translations and glide reflections that are needed to generate the pattern, identify these as well. Find three more images of planar symmetry (once you start looking, you'll see you're surrounded!) and analyze these too.

Homework III: Generate planar patterns from each of the motifs and generators as pictured in Rules of the game. Remember Rule 1! Do these all give different symmetries? (This doubles as Q5)

Homework IV:

Homework V:

  Chaim Goodman-Strauss
  Dept. Mathematics
  Univ. Arkansas
  Fayetteville, AR 72701
  strauss@comp.uark.edu
  501-575-6332