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 be studied in the future. As you can see from the definition, I started with a large circle. Then, I divided it into segments and […]
Posts categorized under Grasshopper
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 graph types and various polygons and subdivision values. Surprisingly, this definition led me to a wide range of possibilities I haven’t planned. Especially, shifting the graph […]
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 the beginning as both Rhinoceros and Grasshopper are able to create surfaces with three corners, by either lofting, meshing, or edge curve methods. However, those […]
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 Design Geometry. Different surface shapes generate exciting results. Of course, this could be much improved by recognizing positive and negative curvature values, (probably only accepting […]
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 powerful quality of Grasshopper, I think.) It’s a good example of utilizing polar coordinates. It’s also fun to play with the parameters and constraints of […]
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 curve.ghx]. In this definition, we plan to animate one parameter which is the value of “t” between 0.0 to 1.0. This single change affects various […]
This is a semi-regular tessellation of vertex arrangement 4.8.8. Its octagonal and square forms are all generated from data lists provided by the new version of subdivide component (The old one was processing points in a different fashion. I don’t know why they changed that). Anyway, a lexical operation is needed to convert this list into a more useful one for this exercise. You can download the source definition here […]
The smooth and continuous nature of the “Sine Surface” has garnered significant popularity among designers and architects alike. This captivating curved surface offers a visually pleasing aesthetic that adds an elegant touch to various design projects. Its flowing contours and gentle undulations create a sense of harmony and organic beauty. Recently, I delved into this with the help of Grasshopper’s Graph Mapping functionality, I began my artistic journey. Although I […]
Hello World! This is the Emergent Polygons definition, one of the first Grasshopper studies I made while learning the language. This is a very efficient programming language for designers and architects since it utilizes geometric relationships very intuitively. I think it will be more popular and widely used in the upcoming years. I started my experiments last year on this. Some of the main concepts of design geometry and basic […]