I am learning Grasshopper. In this Circle Crossing definition, I tried to create the above pattern (also described in Sunflower Spiral) as simply as possible, this definition creates not only spirals but is also capable of more tessellations I guess. Maybe a three-dimensional equivalent might…

This time, in order to develop a potential “dummy” surface for Grasshopper experiences, I built a better definition. The Graph Surface definition uses a polygon as a basis, divides the edges and moves them according to various parameters. It’s fun to play with mapping different…

Recording History in Rhinoceros3D has interesting potential. You might utilize it in the process of design exploration. We’ll try to show its concept and limitations; First, build two surfaces; one is planar at the world XY plane, and the other represents the “initial” form of…

The dodecahedron is a Platonic Solid with 12 equilateral pentagonal faces. It has a close relationship with its 20-sided dual, Icosahedron. Mete Tüneri showed the following method of Dodecahedron construction, using only distances, corners of the pentagon, and a visionary equilateral triangle underneath. We’ll construct Dodecahedron,…

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…

This experiment is based on a traditional surface-component definition. However, the variation of components is associated with Gaussian curvature. We just control the subdivision and a multiplier value. Results are interesting in as an educational tool to explain NURBS surface curvature and its utilization for…

ARCH 362: PARAMETRIC MODELING: Undergraduate Elective Course at İstanbul Bilgi University Faculty of Architecture student exercise: Deniz Yazıcı (YTU/CADU 2008) COURSE BRIEF (2011) Digital paradigm transferred parametric modeling as an alternative conception in architecture, emphasizing a focal shift from the singularity of design artifacts to the…

Icosidodecahedron is an Archimedian Solid, a thing in between the Platonic Solids of Icosahedron (d20) and Dodecahedron (d12). It is a rectified version of an Icosahedron, constructed by dividing every edge into two equal segments and joining these segments to create a composition of equilateral…

Sunflower Spiral (or Phyllotaxis) can be constructed in Grasshopper according to Vogel’s model of parametric relationships. This model uses polar coordinates. You can download the Grasshopper definition file here: (The Grasshopper file is still working after more than 11 years -15.12.2022. This is such a…

We’ll use the “Animate” function in Grasshopper3D to create a stop-motion animation. First, you need to determine the parameters you’ll animate, which means defining maximum-minimum values of it. In our example, we’ll be using a simple bezier curve generation algorithm. You can download it here [2011_12_21_bezier…