Anyone into chain mail as an artform and branch of mathematics? Most people stick with European 4-1 for armor or byzantine and persian for jewelry but I'm trying to see how many different sheet weaves I can make into ~1" polyhedra. I believe that in general any weave capable of forming triangles, squares, diamonds, or hexagons can be made into a regular polyhedron and it's just a question of choosing the right ring sizes.
>>2940733very cool tessellation is a legit branch of math check it out also there a bunch of programs to model stuffhttps://en.wikipedia.org/wiki/Tessellation
>>2940764tessellation gets a little murky with this medium because it's nit clear what defines a face as opposed to a vertex. The top middle in OP could be described as a dodecahedron or an icosidodecahedron depending on how you look at the triangular structures, whereas the center object is unmistakably a rhombicosidodecahedron.
>>2940767Came to post this. You beat me to it I guess.
Made this one last night. It's structurally a cube but the marble inside makes it appear round.
At one point I had started collecting keychains and was gonna make a chainmail out of them but I got bored D:
>>2940767>it's not clear what defines a face as opposed to a vertexthat's what makes it so interesting and cool>>2940911looks awesome man you should make a large one like kickball size!
>>2940733I saw some 3D printed chainmail that was amazing. It came off the printer in sort of a brick, then the guy ripped it apart and it was a an entirely intact sheet of mail. You couldn't tell it was fake from 6 feet away, especially with a bit of aging applied.
I found a way to tessellate half persian sheet 6 nicely. I started making a rhombic triacontahedron out of this but the aspect ratio of the 20awg 5/32" was a little tighter than I liked. I had some 16swg 5/16" which is nominally the same AR but the additional springback of the material made the actual AR about perfect. The orb will be a lot larger than the others but it should be a reasonable juggling ball size at least. I also think this pattern would look nice as an embellishment on an armor piece. Working with 16swg for the first time in a while reminded me how quickly large rings come together into a large area compared to micromail.>>2941759Yeah I've considered using that for larger sections of costume pieces but I'm not sure how to join sections of that together well enough to look seamless. Even if you cut rings off a printed portion and glue it back together or something there will be a curf to hide. Maybe with a 3D printing pen it could work. But this is also limited to European 4-1; most weaves are not available in the right formats. However I do know some people in the community do 3D renders of many weaves so if they made thise files available it would be easy to set up.
