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Summary Once again an isosurface, this time to produce something that to me looks very like the traditional wood crafts idea of taking a wooden burr nodule from a tree and making a decorative bowl from it. My wife has described it as being very tactile and pleasing to hold. Print Settings Printer: Eaglemoss Vector3 Rafts: No Supports: No Resolution: 0.2mm Infill: 10% Notes: The model is in the STL file upside down so that it requires no supports. 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. After much playing with various equations I got a mostly spherical object with strange tubes running through it, from the equation given below. This was then put into Netfabb, where I sliced it in half and also a sneaky slice on the bottom to allow it stand better. Lastly, a sphere was take away from the object using Boolean operators.
Equation ((1.0 / 3.0)*(cos(x*x) * cos(y*y) * cos(z*z)) + (1.0 / PI)*(x*x + y*y + z*z) - sqrt(x*x + y*y + z*z) - (1.0 / 2.0)*(cos(x*y) cos(y*z) cos(z*x))) = 0