# Space Filling Fractal

In this grasshopper definition you can create a space filling fractal by generating grid of rectangles and applying a growth system to it.

In this grasshopper definition you can create a space filling fractal by generating grid of rectangles and applying a growth system to it.

In this grasshopper definition, you can create a series of 2d voronoi cells based on thhe julia set fractal.

FractureHopper by albertovalis is an extension of GH for fractal math and chaos theory. It extends grasshopper with a number of utilities: Julia 2D and 3D sets and tests, Lorenz attractors, Rabinovich-Fabrikant maps, Bifurcation diagrams.

Fractals is a plugin for Grasshopper that allows users to create 3 different types of mathematically generated fractals.

Fractal geometry formation, which is focused on this study by Asli Agirbas, is a system seen in nature. A model based on fractal growth principle was proposed for tile design.

This grasshopper definition can help you model fractal trees fast.This Python fractal tree example file can also be used as an exercise for how to write fractals in python and use boolean to make your code more advanced.

Here, Tuğrul Yazar studied a space-filling fractal called Gosper-Peano curve. You should have Anemone components installed in order to run this definition. The generator curve is a special one.

Chimpanzee by matous111 is a Grasshopper plug-in for Rhino 6 written in Python which focuses on fractal math and chaos theory. Chimpanzee contains currently 71 components.

In this definition you can model a parametric fractal based on circles.In each step the circles scale down and cover a portion of the circle’s circumference.

In this definition you can model a fractal based on a square which builds two smaller squares on one of its edges.

In this definition you can make a fractal rotating polygon by using the Anemone plugin. First we are going to explode the curve to its segments and then evaluate a point on the edges. This recursive algorithm will produce the final rotating polygons.

Civilization has struggled to understand this perfect geometry for thousands of years. In the 4th century, Plato believed that symmetry in nature was proof of universal forms; in 1952, the famous code-breaker Alan Turing wrote a book trying to explain how such patterns in nature could be formed.

Mandelbrot set, a famous fractal that is a badge of honor for mathematicians. One way of defining the Mandelbrot set is by looking at how complex functions behave under repeated iteration.

This video by Softology is about 3d cellular automata. Visions of Chaos is a professional high end software application for Windows. It is simple enough for people who do not understand the mathematics behind it, but advanced enough for fractal enthusiasts to tweak and customise to their needs.