Gosper-Peano Curve in Grasshopper

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 initial curve. It is very easy for Grasshopper to mimic this generative process when you apply looping. In addition, I can re-do this with Rhino Python I guess. I use the Orient component to move, rotate and scale the same curve over and over again.

The direction, length, and angle of every segment make it possible to create this beautiful fractal. I love to use this one in the introduction to computer drawing classes (as a manual drawing and planar transformation exercise) and parametric modeling classes (as a nice introduction to recursion and fractals in Grasshopper). Another name for this curve is “Flowsnake”.