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.
Q5(doubles as part III below)
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
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)
Chaim Goodman-Strauss Dept. Mathematics Univ. Arkansas Fayetteville, AR 72701 email@example.com 501-575-6332