
Two Bowls and an Ornament
thingiverse
Bowls and Ornaments Based on Solutions to the Thomson Electron Problem. For those interested in exploring this fascinating topic further, please visit the following resources: https://en.wikipedia.org/wiki/Thomson_problem and http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html. To create these unique bowls and ornaments, circles were strategically placed on a sphere at points corresponding to the calculated positions of electrons as solutions to the Thomson problem. The openSCAD code used in this process also includes other attempts to design visually appealing bowls and can be adapted for transferring objects centered on the xy plane to the surface of a sphere. Print Settings: Printer Brand: MakerBot Printer Model: MakerBot Replicator (5th Generation) Rafts: Yes Resolution: 0.3 mm Notes: When hexagons were used to cover the surface of bowl_612.stl, they failed to provide a uniform coverage due to their inherent properties. A closer inspection reveals small holes and irregularities surrounded by five hexagons, which are indicative of faults in the pattern. These faults occur at positions that approximate the vertices of an icosahedron or the faces of a dodecahedron, resulting in twelve such imperfections over the sphere. Five of these "faults" are visible on bowl_612.stl, with one image displayed below. The Voronoi image, as shown in the table of solutions referenced above, exhibits a similar effect.
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