origami_madness
Eight Great Circles on a Sphere
This is a study tool that I came up with while thinking about zonohedra awhile back. Just as planar rhombus tilings can be generated by grids of lines (see this article for more info), convex zonohedra seem to have a relationship with great circles placed on a sphere. I've no idea what makes it work, but just by playing around with some a racquetball and some rubber bands, I made some pretty cool shapes and generated a (hopefully complete) list of all combinatorially distinct 6-sided and 12-sided convex zonohedra, so I'm pretty sure it works.
The reason I'm bringing it up now, instead of waiting until I finish folding the model and do a writeup, is that this maquette also happens to be useful in an explanation I posted in response to a question by Byriah Loper.
Eight Great Circles on a Sphere
This is a study tool that I came up with while thinking about zonohedra awhile back. Just as planar rhombus tilings can be generated by grids of lines (see this article for more info), convex zonohedra seem to have a relationship with great circles placed on a sphere. I've no idea what makes it work, but just by playing around with some a racquetball and some rubber bands, I made some pretty cool shapes and generated a (hopefully complete) list of all combinatorially distinct 6-sided and 12-sided convex zonohedra, so I'm pretty sure it works.
The reason I'm bringing it up now, instead of waiting until I finish folding the model and do a writeup, is that this maquette also happens to be useful in an explanation I posted in response to a question by Byriah Loper.