Thingiverse
Julia Set Snowflake
door LunarRecon
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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,
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,
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