Individual Research Projects Section 9.3

Project 9.5

Prepare a classroom demonstration of topology by drawing geometric figures on a piece of rubber inner tube. Demonstrate to the class various ways in which these figures can be distorted.

Project 9.6

The problem shown in the News Clip was first published by John Jackson in 1821. Without the poetry, the puzzle can be stated as follows: Arrange nine trees so they occur in ten rows of three trees each. Find a solution.

Project 9.7 Garment topology

The garment industry uses mathematics and topology to investigate the draping behavior of a scanned garment model in irregular and regular mesh topology. Write an informational paper of at least one page regarding the topic of garment topology.

Project 9.8

What Good Are Fractals? Write an essay on the use and value of fractals.