dodecahedral isosurface thing

thingiverse

An intricately crafted dodecahedral sculpture with extraordinary symmetry. Print Settings Printer: Eaglemoss Vector3 Rafts: Doesn't Matter Supports: Doesn't Matter Resolution: 0.2mm Infill: 20% Notes: I've carefully designed the bottom to provide a significantly larger surface area in contact with the build plate, ensuring a sturdy base for printing. Due to its complex nature, it requires substantial scaling up before becoming a sensible size for printing. How I Designed This I began by utilizing code I share with my students to initiate 3D graphics projects, facilitating model creation in Vertex and Index Buffers programmatically. Next, I obtained the Marching Cubes function from an online resource, modifying it to accept an equation as input and generate a Vertex Buffer containing a specified iso-surface of that equation. This buffer is then displayed, and a basic obj file is produced. To assemble this intricate design, I referenced an old post on the K3DSurf forum from 2012 about isosurfaces, where I discovered the equation shown below. I fed the obj file generated by my program into Netfabb to merge it seamlessly and cut its bottom off, ensuring a secure fit 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 This equation operates within the range of [-1.5:1.5] along all axes, with g2 representing the Golden Ratio squared. As the surface extends beyond this range, additional features emerge; however, the isosurface becomes non-closed at that point.