Dragon Curve Fractal

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 the nature of fractals. Apart from its technical beauty, it is possible to use it in a purely decorative way. This is why I added a design feature to make it more exploratory. I may add a thickness feature in the future to make it producible with digital fabrication.

This Grasshopper definition generates a Dragon Curve Fractal with several input parameters. The initial generator shape and, of course, the number of iterations to process. It is possible to regenerate the classical Dragon Curve and explore new designs (with the help of the TriMap component). The result includes piecewise polylines. Therefore, it is ready for printing on any scale. I made the definition with the help of the Anemone components in Rhinoceros 7. So, you need to install it from food4rhino first to be able to use the definition.