paneling

It is not possible to cover a double curvature surface with planar quads. Here is one method that overcomes quad tiling on double curvature by pulling one vertex of the quads to the plane defined by the other three. This method was used in architecture…

This is the continuation of my previous study on the Fibonacci lattice on a spherical surface, creating a Fibonacci Dome structure. The panelization of curved forms with flat surfaces has been a favorite topic in architectural geometry. The trigonometric layout of the Fibonacci sequence generates a…

Here is a simple pavilion design I call the Turtle Pavilion. It was exceptionally easy. The planar shapes placed on the sphere continue to be planar after the ellipsoidal deformations. I was amazed when I first noticed this, for some reason. With Grasshopper’s Facet Dome…

This is an update on my 2012 exercise on rhombille tiling. This reminded me of the old-school subdivisions of surfaces again after 11 years. It was while reading about rhombic dodecahedron (the stackable solid), that I came across this cute tiling. It’s quite simple, just…

As the design of free-form architectural surfaces becomes easier, questioning and foreseeing the feasibility of the construction of these surfaces becomes important. Such an inquiry requires sufficient knowledge of architectural geometry besides the knowledge of materials and structural systems. In this article, we present a…

This is based on my failure of creating an optimum solution for planar polygonal subdivisions. There is a method called Tangent Plane Intersection (TPI), explained briefly here (sometimes similar algorithms are called “planar remeshing” and  “variational shape approximation”) which is effectively used in the Trada…

For the last 10 days, I’ve been searching for a proper algorithm for representing surfaces using planar shapes. It is obvious that triangulation is an answer but there is an interesting research topic of planar remeshing using shapes other than quads, hexagons, or any other…

Digging out with Grasshopper, Rhinoscript, and Paneling Tools, everything seems to be more and more automated and fast. However my colleagues Mete, Benay and Elif reminded me that, we can always do much with those high-end architectural geometry tools, but we still have to understand…

As far as I understood, it is impossible to physically construct double-curved surfaces from quadrilateral and planar faces. This definition tries to find an optimized alternative to this problem. Any surface, single or double curved, is divided into standard sub surfaces. But this time, those…

This is a basic formation of component-based design in a dataflow environment. A double-curved surface is subdivided and re-constructed using straight sections. Parametric model of a surface construction by variable components. The main data list of subsurfaces are distributed into four distinct lists, that will…

[2011_12_25_divide] here is the fundamental of surface subdivision in Grasshopper. In order to design a parametric truss exercise, this is the generally accepted starting point. Get a surface from the file, subdivide it into U and V directions to create point lists, and then manipulate…

NURBS surfaces by nature, like four-corner topologies with U and V directions. Şebnem Yalınay Çinici has formulated a tectonic exercise of “Primitive Hut”, which in my point of view is a tough geometric challenge; a subdivision on a real three-corner manifold. That seems very easy at…