We encourage you
to pursue independent research projects. Science moves forward through research!
Try one of the suggestions below or design your own. Or, feel free to write
an essay using any of the questions throughout this unit as inspiration.
- Working With
Coastlines. Obtain a printed map of your favorite coastline (a good source
is Mapquest). Using calipers or a pencil
compass "walk'' along the coastline with different step sizes. Construct
a table similar to that produced in the Coastline program. Determine
the fractal dimension by hand and using the computer program. Write a report
which discusses the role of multiple measurements and a comparison of your
hand measurements to the computer measurements.
of Natural Fractals. As a variation, trace the evolution in time of the
fractal dimension of a natural fractal such as a coastline as it is formed.
You are asking the question: what is the fractal dimension after each step
in the creation process? Does this change in dimension in terms of the natural
process of erosion.
- What Do You Think?
Unit 3 - Modeling Random Motion