While testing Anemone components for Grasshopper, I accidentally generated these branches by looping. In fact, I was trying to develop the definition that mimics the well-known “Arch SED” component method. This method uses the tangent vectors for the endpoints of the arcs. Then, it iterates the process in a random fashion so that the branches (arcs) join nicely. Anyway, this definition develops new branches from a previous one. It does […]

In order to start creating recursive algorithms in Grasshopper, I finally managed to run Hoopsnake, a special component developed by Yiannis Chatzikonstantinou. This will help me develop parametric models that include loops. The fundamental experiment here shows a surface subdivision based on iterations. We should define a starting object or data, an operation to be repeated, and a limit that will tell Hoopsnake to stop looping. In this condition, this […]

A Penrose tiling exemplifies a type of tiling known as aperiodic. In this context, tiling involves covering a plane with non-overlapping polygons or shapes. Aperiodic means the tiling lacks arbitrarily large repeating sections. These tilings derive their name from mathematician and physicist Roger Penrose, who extensively studied them during the 1970s. Despite their absence of translational symmetry, Penrose tilings can exhibit both reflection symmetry and fivefold rotational symmetry. I created […]

In 1986, Craig Reynolds developed an algorithm aiming to model the flocking behavior of birds, which remains a cult method used in flock simulations today. In my initial study, the bird-oids (boids) have no rules or limitations, just chilling randomly on the screen. I call this initial version Wandering Simulator. There are several reasons why this fundamental simulation is difficult in Grasshopper and Python, our parametric design interface. In Grasshopper […]

Villa Savoye is an iconic modernist villa in Poissy, France, built between 1928 and 1931. It was designed by the pioneering Swiss-French architect Le Corbusier, often considered one of the most influential architects of the 20th century. Villa Savoye is a masterpiece of the International Style, embodying the principles of modern architecture that prioritize functionality, simplicity, and the use of new materials such as reinforced concrete. I made this digital […]

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 […]

This is an implementation of the famous Koch Snowflake Fractal in Grasshopper. We will be using the Anemone add-on to handle the iterations. In this fractal, we start from an equilateral triangle. Then, we form new equilateral triangles, one-third of the side. So that each repetition protrudes in the middle of all the sides. In summary;1: Take a closed polygon and divide it into parts and divide each side into […]

I like to deal with possible small computational geometry problems. These fun games are taking 2-3 hours. In addition, these are also memorable exercises. I was reviewing the Anemone plugin last week. I noticed that the Golden Ratio in Grasshopper was not geometrically generated before. Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific […]

Below is the Python code you can run in Rhino, that draws a cubic Bézier curve (degree 3). As you can see, the Rhino Python code is very slow and inefficient because we calculate every point with lots of computations. Instead, we can use the spline formulae to make this quicker but I wanted to show that the mathematical construction is parallel to the geometric one. This is a nested […]

Anemone components are still working great, extending the abilities of Grasshopper. Here, I studied a space-filling (or plane-filling) fractal called the Gosper-Peano Curve. You should be very careful about the number of iterations (the N input). Because it can crash your Rhino if you change it to more significant numbers. Also, you should have Anemone components installed in order to run this definition. The generator curve is a special one. […]

We will see a simple Rhino Python exercise here. I called these Polygon Fractals (or Pentaflakes sometimes). It is both educational and fun to play with them. In Rhino, it can be a good exercise for basic CAD commands and transformations such as move, copy, and scale, and precision drawing operations such as object snapping. Also, in Grasshopper, it can be a good challenge for looping. In Rhino Python, it […]

Studied earlier in Grasshopper here, the sunflower spiral or Phyllotaxis, or Fibonacci’s spiral could be drawn as an exercise of looping in Rhino Python. According to ChatGPT: Phyllotaxis is the arrangement or patterning of leaves, flowers, or other plant parts around a stem or axis. Thus, it refers to the specific geometric arrangement of these structures in plants. The term “phyllotaxis” comes from the Greek words “phyllon” (meaning “leaf”) and […]

Based on this post, the problem of modeling tree-like fractal shapes is still a good question for the early years of computational design education. Last time, I used Rhino’s macro to study these fractal trees in an “impossibly” limited interface. But this time I used a VB.net script. Here is the code inside of the VB.net component: Here are the inputs. x is the number of iterations. The Crv input is […]

Further studying iteration in Grasshopper, this time, inspired by George Stiny’s “Chinese Ice-Ray Lattice” subdivisions with Aneome, instead of the Hoopsnake add-on I tried in the previous work. As you know, loops add various ways of usage to Grasshopper. In future versions, loops may cease to be just an add-on and become native components of Grasshopper. Until then, loop plugins like Anemone take on this task. In the example here, […]

This is the Grasshopper definition that generates a tetrahedral helix (also called as Boerdijk-Coxeter helix) but in a funny way. This geometry is also a solution for tangent spheres. I generated the helix using Anemone components for recursion and gave it a little bit of responsiveness. I don’t know if it depends on the speed of your CPU but if it is slow enough, you’ll see the snake game of tetrahedral […]

I’ve been searching for a way to implement edge bundling on Grasshopper. It is an effective visualization technique that you can use in connectivity diagrams. There are a couple of different approaches to this problem. It is a nice way to analyze common paths within crowded graphs. I’ve found several entries in the Grasshopper blog about this subject, but only implementing Kangaroo seemed to be a complete solution. My approach […]

Anemone is a simple but effective plug-in for Grasshopper that enables loops. It has been a while since Hoopsnake succeeded in extending the dataflow capacities of Grasshopper with recursion. However, Anemone is much more user-friendly and easy to use. Below is my first test, yes it works! Here is the group page on Grasshopper. I hope this plug-in would be advanced more. I’ll try to return to my old studies […]