Thank you, but that's actually fairly easy with modern software, and the most difficult part (choosing angles and colors) was done by a friend.
I'm not terribly interested in Complex Dynamics any more and mostly wrote this essay because it had been on my todo list for almost a year... Most of my interest is directed towards 3D printers and design of CAD software now.
In any case, the part of this that I was happiest with was the explanation of what Julia and Mandelbrot sets are. Most people, even those who are very interested in fractals have no idea what they are, just the software (or maybe equations that make them) and what they look like. Which I find frustrating. So I used the fact that people don't seem to be aware of more natural generalizations mandelbrot sets to 3 dimensions to teach it. :) I was fairly sure they were already known of. Though the proper name of such fractals would be appreciated...
Thank you, but that's actually fairly easy with modern software, and the most difficult part (choosing angles and colors) was done by a friend.
I'm not terribly interested in Complex Dynamics any more and mostly wrote this essay because it had been on my todo list for almost a year... Most of my interest is directed towards 3D printers and design of CAD software now.
In any case, the part of this that I was happiest with was the explanation of what Julia and Mandelbrot sets are. Most people, even those who are very interested in fractals have no idea what they are, just the software (or maybe equations that make them) and what they look like. Which I find frustrating. So I used the fact that people don't seem to be aware of more natural generalizations mandelbrot sets to 3 dimensions to teach it. :) I was fairly sure they were already known of. Though the proper name of such fractals would be appreciated...