Anemone for Grasshopper

This week’s fractal is the famous Dragon Curve. Dragon Curve exhibits self-similarity, meaning parts of the curve resemble the overall shape, regardless of scale. It’s fascinating because a relatively simple construction process generates a complex and visually captivating fractal pattern. The Dragon Curve is often used to demonstrate fractal properties in mathematics and is popular in recreational mathematics due to its intricate and beautiful patterns. It has applications in computer graphics and is interesting in studying chaos theory, self-similarity, and…

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 pointing to the outside of the polygon. Cesaro Fractal does…

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; The Preparation for Koch Snowflake Fractal Now let’s follow the Grasshopper application step by step. We start Koch Snowflake Fractal by creating a triangle…

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. This website explains the generation of the curve from the…

This is a classical method of generating tree-like forms utilizing a simple command “Arc SED”. The idea is simple, as the command draws arcs using an input direction vector, so this could easily be implemented creating a “smooth” composition of curves just by iteration. Actually, this has been a previous study, discussed before here, using Hoopsnake. Now, this time I’m implementing the same algorithm using Anemone and a couple of other changes. Here is the Grasshopper definition (Anemone Components should be…