The Mandelbrot Set

Intro

I have been fascinated with the Mandelbrot Set for a long time. I have been looking for ways to include it into Clay Creations. This page is for anyone who is interested to explore for your self the beauty of the Mandelbrot Set. You could simply Google The Mandelbrot Set and you would find many wonderful resources. On this page I simply list some links that I have found useful.

What is the Mandelbrot set?

Here are some good explanations of what the Mandelbrot set is.

1. https://www.youtube.com/watch?v=NGMRB4O922I

2. https://www.youtube.com/watch?app=desktop&v=FFftmWSzgmk

3. https://www.youtube.com/watch?v=7MotVcGvFMg

4. This is an explanation by Benoit Mandelbrot himself.

https://www.youtube.com/watch?v=ock9Gk_aqw4

Take some trips deep into The Mandelbrot Set

Here are some suggested trips deep into the Mandelbrot Set.

1. https://www.youtube.com/watch?v=pCpLWbHVNhk

2. https://www.youtube.com/watch?v=0jGaio87u3A

Explore the Mandelbrot Set for your self.

1. http://weitz.de/mandelbrot/

(Only works in the Microsoft PC Windows environment.)

2. http://www.jakebakermaths.org.uk/maths/mandelbrot/canvasmandelbrotv12.html

(Works in both Mac and PC environments.)

Printing out Mandelbrot images on clay

I modified a 3d printer by discarding all the control circuits and replaced the control circuits with an Arduino board and my own stepper motor drivers. This allowed me to calculate the Mandelbrot Set and control the stepper motors to print my selected Mandelbrot designs with a toothpick onto clay. Below is a short YouTube video showing the process.