# 2013 Winterim: Fantastic Fractals

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!

# Fantastic Fractals Final Projects

These are the final projects by the students in my Fantastic Fractals minicourse. After learning the math behind iterated function systems, Julia Sets, and the Mandelbrot Set, they went to work creating their own masterpieces. They used the software Apophysis and Fractal Explorer to generate these beauties.

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# Fractals Final Projects

My fractals  minicourse wrapped up last week, and my students have submitted their final projects. They were created using Tierazon and Apophysis. Here are thumbnails of them:﻿

I’m really proud of their work. We began with very simple IFS fractals, and explored some of the features of Apophysis. Then we learned what complex numbers are, and how they are plotted in the complex plane. Once we understood that, we could define what a Julia Set is, and, finally, define the Mandelbrot Set. That’s a lot of math to cover in three weeks.

# More Apophysis

I have been working my way through some excellent tutorials by Tara Roys on how to work with Apophysis. What makes them a cut above all the other tutorials I’ve struggled through is her clear, mathematically-based explanations of the processes involved. All of the other tutorials I’ve looked at explain how to do a particular technique, but they fail to explain why.

Here are some examples of very basic fractals I made using the same two(!) transforms, and just two variations. The only difference between them is the scale change of one transform. Amazing.

Kaleidoscope #2

Kaleidoscope #1

Kaleidoscope #3