I had a small but talented group of students in my Fractals & Chaos mini-course this year. They used Fractal Explorer, Apophysis, Winfeed, and Chaoscope to create their final projects, which are displayed below. Enjoy!

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I had a small but talented group of students in my Fractals & Chaos mini-course this year. They used Fractal Explorer, Apophysis, Winfeed, and Chaoscope to create their final projects, which are displayed below. Enjoy!

I taught another three-week stained-glass mini-course this year. After my students learn the basic technique of copper-foil stained glass windows, they research a math topic, write a paper on it, and illustrate it with a window of their own design. Topics this year included systems of inequalities, the Fibonacci Sequence, corresponding angles formed by two lines and a transversal, the Four-Color Theorem, and the Pythagorean Theorem among others.

Here’s a gallery of their finished windows:

We have a very impressive dance program at Harpeth Hall with amazingly creative choreographers. One of them asked me to create an animation involving equations and fractal animation that will be projected behind some dancers as they perform. The music is a portion of a minimalist piece called “Sextet”, composed by Chris Fitkin, and performed by Piano Circus (available here.)

After four nights of work with Chaoscope and putting my laptop through its paces calculating over 2800 images to create a relatively smooth animation, here is the finished product. I can’t wait to see it all come together on the stage in a couple of months. By the way, pay attention to the last equation, which is possibly the most beautiful in all of mathematics.

The students in my course Light, Math, & Color made these windows. Their assignment was to find an interesting mathematical topic and illustrate it with artglass. None of them had ever worked with glass before, so these are all first attempts. The math topics illustrated by these windows include the Pythagorean Theorem, the Golden Rectangle, the Four-Color Theorem, Fibonacci Numbers and the Golden Triangle, and Circumscribing a Triangle, among others.