The structure of this shell is woven from isocurves and geodesic curves on a surface. Geodesic curves are also called plank lines, they can be build from straigth, but twisted planks. Mårten Nettelbladt studied them on his blog.Geodesic shells build in wood have been studied at the laboratory for timber construction of the EPFL.
Planks generated from lines on a surface with this script: TwistedBeams.zip
The (straight) bamboo strips of this chinese hat are following geodesic lines. Photo by drs2biz.
This is an implementation of a turtle walking around on a NURBS surface.If the turtle is going straight in small steps, the resulting path is close to a geodesic.
On this blog I documented some of my findings, ideas, and projects from the years 2009-2013. Its a private and non-commercial website, and the content isn´t updated any more, so please forgive broken links and outdated information. I keep it as a personal archive.