Fall 2001
T-Th 10-11:50
Instructor: Dorothy Wallace
Office: 202 Choate House
Office Hours: 9-12 Wednesday or by appointment
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Math 5, Pattern Fall 2001 T-Th 10-11:50 Instructor: Dorothy Wallace Office: 202 Choate House Office Hours: 9-12 Wednesday or by appointment |
SYLLABUSHomework 1
You have a handout (10 pages in all) of frieze (or linear) designs. Your job in this assignment is to look at these patterns with the eyes of a mathematician, then with the eyes of an artist. A repeat pattern consists of a motif which is repeated according to a pattern consisting o f assorted symmetries like translation, rotation, mirror flip.
Part 1: the mathematician's eyes
A lot of these patterns have the same symmetry structure but different motifs. You can therefore divide them into classes based on this structure. Do so.
- Question 1: How many classes do you get?
- Question 2: Which designs (labeled by one or two letters) are in each class?
Part 2: the artists eyes
Frankly, a lot of these designs are pretty boring, right? But some are not so bad and a few are pretty neat. Again. Let us have a classification of the patterns, this time based On aesthetics.
- Question 3: Which designs fall into each of the three categories: boring, not so bad, or pretty neat?
Bring two copies of your answers to class on Thursday. I woulcl like you to keep a copy for yourself and turn a copy in to me.
© 2001 Dorothy Wallace, Dartmouth College. All rights reserved.