Algorithms

The Parquet Deformation named “Wiry Wonder” was designed by Michael Cuttita in William Huff’s studio at the State University of New York in 1989. The below figure shows the original drawing made by the student. Similar to the previous one, this composition is based on a hexagonal lattice. In this composition there are three significant prototiles, marking the three key moments in the shape-shifting process. There is also one invisible prototile. It accommodates the transition between the last two prototiles….

Here is the Grasshopper implementation of the famous Evolution Door design by Klemens Torggler. The code I used here is from my course on Parametric Modeling. This Grasshopper algorithm is a good exercise for the basics of Kangaroo. I attached several goal objects to a special mesh object created in Rhinoceros. Kangaroo’s goal objects work as expected to simulate the folding door behavior. I used the goal objects to fix some of the corner points and fix the edge lengths….

We will try to create collapsible structures in this new series called Folding Experiments. In this example, we will be using Grasshopper and Kangaroo components to understand the Folding Experiments: Basics first. Like other projects, this is a Parametric Modeling course exercise that usually includes primary Grasshopper usage. In our first example, we will try to fold a mesh object. To be able to fold a surface like origami, we need to define the folding creases and faces. The most…

The dwg format maps in Turkey are often problematic. You need to clean these for architectural studios. Maps mostly contain height information of buildings. But the contours of the buildings are distorted and polylines are generally exploded. The map of the region where we worked in the studio I conducted in the Fall 2021 term was also problematic. I created a Map Cleaner Script in Rhino Python and converted the building drawings on the map into solid 3D models. We…

Let’s make some nostalgia. I thought of a very simple and useful algorithm that I can generate with Grasshopper. At the concept stage in architectural projects, I tried to derive figures that could symbolize the trees on the land. To make random low poly trees in Grasshopper we need several lists of random numbers first. The Facet Dome component will meet all our needs. In the code I shared on this page, I arranged the data tree structure to handle…

“Strange Start Startling Stop” was designed by Mary Purdy at the State University of New York in 1985. The composition is based on a hexagonal lattice (above figure). There are four prototiles, marking the four key moments in the shape-shifting process. The first prototile is a regular hexagon, which is also the first tile of the composition. This prototile morphs into a shape that is a composition of four smaller hexagons, creating the second prototile. This morphing process finishes at…

This is my first experiment with the Fourier Series in Grasshopper using Python. This is a technique to decompose functions into their frequency components. Fourier series have a wide range of applications in physics and engineering. What makes it especially fascinating, however, is the visual intuition it offers. It looks like a kind of mathematical “magic” that emerges from the geometry of frequency. I explored several excellent visual explanations online, including those by Coding Train, 3Blue1Brown, and Mathologer, each offering…

In this session, I will add two new methods to the Vector class. I think this will finish the basics for the vectors. In the future, we are going to need several new methods like adding multiple vectors and interpolation. But for now, I think this would be sufficient to further advance into parametric curves and surfaces. These new methods will be based on the dot product method we created in the last post. I will add the vector projection…

This is the continuation of the Vector class we started here, and further advanced here, here, and here. This new Rhino Python implementation is mostly educational and partially a hobby. Before this session, we have developed display, magnitude, add, multiply, reverse, and subtract methods. This time, I am adding the vector normalization and dot product methods and seeing the utilizations of the dot product. Line Explanation 1-26 Already explained in the previous posts. 27 Define a new method called “normalize”….

This is the continuation of the previous post on parametric curve equations. In this new version, the script picks a NURBS curve from the user. Then, it analyses the curve’s degree and control points. Unfortunately, only the curves with degree+1 number of control points can be processed. In the future, I hope that I will be able to extend this script to include multi-span curves with more than degree +1 control points. Finally, the script creates the three functions for…