Tearing Plastic: A Laboratory Exercise on Fractals and Hyperbolic Geometry
A website to accompany an article for PRIMUS
by Ron Taylor and Todd Timberlake
[Overview] [Activity Handout] [Pictures]
Overview
This website is intended to supplement an article (488 kB) that will be published in
PRIMUS. In the article we describe a hands-on activity for a liberal
arts mathematics course that focuses on the beauty and unity of
mathematics rather than its utility. The purpose of the activity is to
tie together several topics in the context of a "real-world"
situation. These topics include: fractals, non-Euclidean geometry,
symmetry and Platonic solids. This activity would also be appropriate
for a geometry course.
This activity was derived from an article from American Scientist magazine,
entitled "Leaves, Flowers, and Garbage Bags: Making Waves" by Sharon, Marder, and Swinney. That
article is available
online through this link on the American Scientist website.
Activity Handout
Use the links below to download the handout we developed for this activity. The handout is
available in PDF format, and also as LaTeX source. Feel free to edit the LaTeX source to better
fit the particulars of your class.
Pictures
The images below show completed portions of the activity.
- Here are three pictures of the edges of the torn plastic sheets (using three different types of plastic):
- Here's an image showing the grid with lines on the torn plastic sheet, before and after the sheet is torn:
- Finally, here's a portion of a hyperbolic surface constructed from equilateral triangles:
If you have any questions about these materials, please email Todd Timberlake
at ttimberlake@berry.edu or Ron Taylor at
rtaylor@berry.edu.
Todd K. Timberlake (ttimberlake@berry.edu)