## 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:**

Keep on Truckin'

to outline

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