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Summary An isosurface with dodecahedral symmetry. Print Settings Printer: Eaglemoss Vector3 Rafts: Doesn't Matter Supports: Doesn't Matter Resolution: 0.2mm Infill: 20% Notes: I've sliced the bottom to give a larger surface area in contact with the build plate, and I also used quite a bit of brim to REALLY ensure it stuck. Due to the way it was produced it needs a great deal of scaling up before being a sensible size to print. How I Designed This I started with some code I give my students to help them start 3D graphics projects. This helps them create models in Vertex and Index Buffers programmatically. I then grabbed the Marching Cubes function from here, and used it so that I could feed in an equation and get out a Vertex Buffer containing a given iso-surface of that equation, display it and then spits out a basic obj file. In a really old post from 2012 on the K3DSurf forum about isosurfaces I found the equation shown below. I then fed the obj file my program produced from it into Netfabb to stitch it together and cut its bottom off to make sure it sat down firmly on the build plate.
Equation - 4 * (g2*x*x - y*y) * (g2*y*y - z*z) * (g2*z*z - x*x) + pow((x*x + y*y + z*z - 1), 2) * 6 = 3 / 10 In the region of [-1.5:1.5] along all axes, and g2 is the Golden Ratio squared. If you go out passed that range there are more features to this isosurface, but the surface is then not closed.