The Weaire-Phelan structure is an optimal solution to the problem of partitioning space into equal volumes with the least surface area. Denis Weaire and Robert Phelan discovered it in 1993. This structure gained attention due to its efficiency in filling space, offering a configuration that achieves a more balanced distribution of volume and surface area compared to other known structures at the time. Here is my model for Space-filling Weaire-Phelan […]

In this study, I explore Cesaro Fractal, generated by Grasshopper. Usually, it is not possible to code recursive algorithms in Grasshopper. With the help of the Anemone add-on, these fractal curves are easy to model. I studied similar fractal algorithms here before. This one is very similar to the Koch’s snowflake. The only difference (as far as I understood) is the side of the spikes. Koch’s Snowflake generates triangular spikes […]

Here are the variations of classical six-pointed star patterns generated by Grasshopper. Generally, you can see these patterns under the title “Islamic patterns” because they are frequent in the decorations of mosques and palaces. I studied these patterns in Grasshopper earlier in these posts. I always find this an interesting geometry exercise. This time, my main goal was to develop a useful code only with the native Grasshopper components that […]

Perlin noise is a gradient noise function that has been widely used in computer graphics, procedural generation, and various other applications to generate natural-looking patterns. Here is my brief exploration of the Perlin Noise Generator. Although I didn’t fully follow the traditional steps the result looks similar. I started with the square grid and generated random gradient vectors on every grid corner. Then, I implemented the original algorithm’s dot product […]

This Grasshopper exercise is a special one. I used Hoopsnake components to develop the branching design I studied earlier here. This time I multiplied the number and orientations of several tree structures to generate my interpretation of the Tree of Life. The challenging part of the algorithm was to finalize every branch tangent to a predefined circle. Group 3 handles this issue by utilizing a Blend Curve component. There are […]

Recently I found this VB.net component in an old Grasshopper project. I am not sure if it is mine or not, but I wanted to share it with you. This code modifies Rhino viewport colors quickly without entering the Rhino options window. I frequently modify the viewport colors and grid settings to create renders or animations within Grasshopper. This is why, this component might be useful in making quick modifications […]

In this short trial, I will be testing the Open Nest add-on for Grasshopper. The add-on is available in food4rhino as of 2023. For this test, I will use the latest exercise on Interlocking structures I experimented with here. Nesting is an important topic, especially in today’s economic crisis. It reduces the waste materials on laser-cut plates. First, I should re-visit the interlocking structures Grasshopper definition here. The below image […]

Here is a short tutorial on getting help from Grasshopper in physical terrain modeling. It is a classical architectural terrain modeling process. Let’s see how Grasshopper can help us with this. Part 1: Terrain modeling for Laser cutter The terrain model entered in the Brep data store in this application is a closed/solid model. For now, you can also use ready-made components such as Cone or Sphere (Sph) to quickly […]

Let’s have some fun with the parametric stuff! You may remember that we created many vases and glass alternatives that we could bake with a single Revolution (RevSrf) component in previous exercises. Since we were referencing the profile curve drawn in Rhino, it was also possible to create a one-component glass algorithm with some Rhino knowledge. Now, we will try to develop a parametric mug. In the application you see […]

In this short tutorial, I want to give Grasshopper beginners the basics of how we create attractor systems. The Grasshopper definition you see in the below figure is the equivalent of array-type copying operations in CAD. However, unlike in CAD programs, here we are dealing with multiple generations of objects rather than transformations. Attractor Basics: Data Matching In the application you see in the figure below, each row of the […]

I have created a straightforward Grasshopper code that generates a Voronoi diagram on a surface. Then, it adds thickness to form a structure called a “Voronoi Cage.” In the initial step, I project a surface onto the ground plane (Z=0). The projected frame serves as the boundary for two operations: generating random points using the Populate 2D (Pop2D) function and calculating the Voronoi diagram based on these points. The resulting […]

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 a hexagonal grid with a special reconstruction. I decided to recreate it by using well-known native Grasshopper components. I animated the result with a variation […]

This project was about a unique tiling pattern inside a multi-story residential building’s hallways in Grasshopper. While drawing the construction documents of the project, it was necessary to apply some coding here, as each floor had a different shape to be tiled. The problem statement included one sketch with a zigzag-shaped tiling pattern. Thus, I tried to implement this pattern on multiple floors with different shapes. I call this definition […]

Data structures and data matching principles are important to be able to design with #Grasshopper. In this tutorial, I show data matching procedures with arithmetic operations. Then I repeat them in the production of geometric objects. I think it should be easier to use this programming language once the students understand the basic principles. Therefore it would be easier to design with it. Sometimes the design process of these diagrams […]

This is the continuation of a very old parametric model of a building facade, presented here. I will introduce the basic Grasshopper definitions of several alternative designs. The first one is the rhombus facade. The first part of the algorithm deals with the necessary data collection. We reference a polyline from the Rhino model as the path that the facade will follow. After that, we create vertical lines around the […]

Here is another basic exercise in Grasshopper. This exercise “Point Waves” creates wave-like deformations on the grids of points. The major function of the definition is to calculate the distances from every point of a grid to an attractor point, with the help of Distance (Dist). Then it sorts them from the smallest to the largest (= closest to farthest) with the Sort List (Sort) component. This component takes and […]

The Animated Tree Growth is an interesting study for Grasshopper. First, I developed a regular tree generation definition similar to those I studied earlier, here, here, and here. In component group 1, I develop an initial generator arc. Then, in group 2, I generate the fractal tree by using iteration. I did this with the help of the Anemone add-on. The interesting and original part of this definition is group […]

This is the six-pointed star lattice definition in Grasshopper. The definition is generating CNC or laser-ready results as seen below. In this code, first, I developed a common star pattern by exploding a hexagonal grid. The tricky part of this definition is the last part. There, you can see how you can use the Region Union (RUnion) component to add thickness to a pattern we have drawn before. The operation […]

Santiago Calatrava, a celebrated Spanish architect, structural engineer, sculptor, and painter, is renowned worldwide for his groundbreaking and futuristic designs, which frequently fuse architecture with engineering and artistry. Among his many notable works is the door design at Ernsting Warehouse in Coesfeld, Germany, constructed in 1985. I call this Calatrava Door because this design showcases Calatrava’s keen sense of functionality and geometry, with aluminum slats arranged vertically and connected along […]

This is my first experiment on developing add-ons for Grasshopper. There are two components in the “Parquet Deformations” add-on. These are the ghuser files coded in Python. So, they can work by just dragging and dropping to the Grasshopper canvas. These first two components of the toolset are more like helpers while designing Parquet Deformations. I introduced some of my re-generations of classical parquet deformations here and here and in […]