Julia Set Snowflake
Description
George Mason University Math 401: Mathematics Through 3D Printing. This model was made for an assignment to represent a Mandelbrot or Julia set, with this one in particular being a filled Julia set. Filled Julia sets represent the set of points that, for a given function, z, and constant, c, do not tend to infinity when that function is iterated upon with various complex values for z. The equation I used was z^6 + c. There were a handful of issues with this model, though all of them were on the processing side of things. Rendering the model proved too much for my laptop, so I had to move over to my PC. Upon rendering it, the model was so large and intricate that my first exporting attempt never finished even after 18 hours, so I had to scale it down quite a bit. The original size was 1000x1000, and now it's 200x200. This unfortunately removed quite a bit of detail, though it did make it possible to export in a reasonable time frame. From there the model printed as normal, though the printer isn't precise enough to accurately capture the smaller details. The nature of the filled Julia set being infinitely self-similar means this was inevitable to begin with, so there isn't too much of an issue with this, and it's more that it came out a little less aesthetically pleasing than it could have.
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