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3D Fractal - Quaternion Julia Set — image 1

3D Fractal - Quaternion Julia Set

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A 3D slice of a 4-dimensional fractal

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Model information

Category
Math
License
Creative Commons — Attribution

This is a model representing a version of a 3D Julia Set fractal made using the mandelbulber software.  Many people are familiar with the Mandelbrot Set, but fewer are aware that each point on the Mandelbrot set is correlated to a specific 2D Julia set.  Even fewer are aware that the 2D Julia set is just a slice of a 4D quaternion object.  You can create 3D “slices” of that 4D object, and depending on the particular parameters you select, you can create a huge variety of objects.  This general shape has always been rather pleasing to me and was great to see it as an actual physical object.

To print, I sliced the model at an angle (to minimize supports needed) and put two small dowel pin connectors on the bases to connect them afterwards.  0.15 layer height comes out really nicely.  Could probably print at 2X scale without any issues.

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