All experiments in this post are still under-construction
a form of ruled surface
Developable surface, Origami, Folding, Ruled Surfaces
Helicoid, hyperbolic Paraboloid, Oloid
another form of double ruled surface
Forming Metal Plates
When I started this post, my aim was to understand the process of Folding metals and forming with sheets and then reach the ability to create curved metal plates using simple bending or even positive molds. I looked for keywords, which guided me to the origin of the topic; developable surfaces, and then back again to the Ruled surfaces.
just another experiment, nothing particular, just close to the Oloid
Developable Surfaces and Ruled Surfaces
In Brief, those curved surfaces which can be flattened into planar patches, without distortion. In other words, it’s the kind of surfaces can be created by single direction bending at a time, without the need for stretching the surface. In mathematics means; it’s a surface with zero Gaussian Curvature value at any point. It’s made usually out of one single sheet of material, materials such as metal, wood, and cardboard. Developable surfaces are a subclass of Ruled surfaces. Ruled surfaces are the surfaces which controlled by two sets of points, swept and connected by straight lines creating the shape, for example, a cone is a ruled surface, and also hyperbolic paraboloid is another example.