Hexagonal Mesh Torus Ring

thingiverse

This is a ring made from a hexagonal mesh torus, currently sized for a ring around size 10 or 10.5, as demonstrated by its fit on my left ring finger (size 10.5) and its ability to fit snugly on my other ring finger. I created it using Mathematica code found at http://mathematica.stackexchange.com/questions/39879/create-a-torus-with-a-hexagonal-mesh-for-3d-printing, which I then imported into Tinkercad and modified by boring a cylinder hole through it. I plan to continue refining this design as I'm not entirely satisfied with its current form and believe that the process will allow me to learn about conformal mappings on the torus and STL file formats. Specifically, I dislike the divots on each hexagonal facet, which I attribute to Mathematica's export of the STL file, and suspect that resolving this issue will also address the jaggies present on the ring's top and bottom. Furthermore, the current design is somewhat bulky in nature.