The term “hexa” generally refers to the number six, derived from the Greek word. It is commonly used in mathematics, geometry, and other scientific fields to indicate six-sided shapes or structures. A hexagon is a polygon with six sides and six angles. It is one of the regular polygons, meaning all of its sides and angles are equal. A hexahedron is a polyhedron with six faces. The most well-known example is the cube, which has six square faces, twelve edges,…
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 create laser-cut-ready products of hexagonal star lattice. Thus, I made…
This python code proves how much effort it takes to create a simple hexagonal tessellation. There are, of course, much easier and faster methods than this. But here you see a code that introduces students to Rhino Python. Using this code, a new Rhino command can be generated, and for the first time in Rhino, we can have a command that creates a hexagonal grid. I followed this tutorial to turn this Python script into a Rhino command. This is…
This is one of the ideas we’ve tested for the workshop “Animate Patterning“. Apart from the pattern that turns around, the torque, rotation radius and speed of the servo, weight, connection detail, and a number of foamboards become important inputs for this design. In the three-day workshop, one group of students interpreted this idea of using several moving layers and creating an emergent pattern at the perceptual level. However their project was slightly different from this one, I’ll post their…
Recently, I returned to old fashion RhinoScripts in order to recapture its idea and functionalities again. After almost 10 years, this is my first experiment on creating a custom function that draws hexagonal grids. I tried to implement a fast process for it, however, there could be much faster ones. This script focuses on using functions, variables, and object arrays. I’ll continue to make more of these simple exercises and revisit some of the older studies on this blog page…
It all started with my new passion for origami tessellations, not much of origami, but the tessellation part. I was too lazy to fold it physically, nor model them using an engine such as Kangaroo. That would also be very unnecessary (and yes, very boring) to simulate a folding effort on the computer unless we lose our connection with the real world. Instead, I tried to look at a much more abstract, silly, and basic part of it; the creasing…
Back to the basics. I finally had time to test the vector fields components in Grasshopper. It was a couple of updates ago, a new tool group emerged in the vector tab, introducing different types of vector fields to users. Then, these fields could be merged to form more complex effects. However, I created a very simple example of how we can use those components to distort a system (such as a regular tessellation). Using attractor forces (usually in geometric…
This is another starting point for pattern generation study in a dataflow environment. I tried to implement the parquet deformation of Islamic patterns in Grasshopper. I studied Hankin’s method of Islamic Pattern generation. Then I tried to simulate his process beginning with basic regular tiling (regular hexagonal tessellation). Craig S. Kaplan (here) explains this and other methods in his dissertation. A Simple Foundation We have already experienced the result of exploding any hexagonal grid, shifting its points with the help…