By using the Subdivide Triangle component of Lunchbox Pluging you can model a simple Sierpinski Triangle in Grasshopper3d. Basically, this component Subdivides a triangle into self-similar cells. First, you have to give a closed triangular curve or surface to subdivide then by defining four different Booleans you can control the divisions. The first one controls the center triangle and the rest control the 3 adjacent triangle areas.

In this grasshopper definition you can generate mass of strips by defining a path (Curve) and connecting them with perpendicular lines between them. This grasshopper definition is made by Heteroptera Plugin.

In this grasshopper definition you can aggregate a custom module (Tile) by defining junctions using Fox Plugin.

In this grasshopper definition you can make pseudo reaction diffusion using Weaverbird Plugin. This grasshopper definition is inspired by Junichiro Horikawa.

In this Parakeet Plugin Example you can use the Flow Path component to Generate a Fluid Flow Path on a Mesh.

In this definition you can use the shortest walk plugin to produce a venation pattern between a series of random points.

In this grasshopper definition we have used the Rabbit Plugin to produce a parametric L-System by defining rules and number of agents (Turtles). The Starting position has been found on a sphere

In this grasshopper definition you can learn how aggregation method works by creating a loop with the Anemone plugin. In each iteration, the faces of the meshes will generate a new face.

In this example you can model a 3d sierpinski fractal by using the recrusive behaviour of the Anemone plugin and then you can use the weaverbird plugin to smooth the results.

This grasshopper definition is generated by putting simple scaling and rotating into a loop through Anemone Plugin, however it is quite different from the method that mathematician generate the Hilbert Curve fractal. A Hilbert curve is a continuous fractal space-filling curve.

In this definition we have used the Anemone plugin to model the Apolloian fractal. In mathematics, an Apollonian gasket or Apollonian net is a fractal generated starting from a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three.

In this Grasshopper Definition by using the Anemone plugin you can model a recursive pattern that connects each corner of the face to the center. You can also Mesh+ & Weaverbird to prepare a mesh or a Nurbs surface for the division process.

In this Grasshopper definition you can use the Anemone Plugin to rotate a tower around itself. First we will define the rotation and scaling factor and then we will extrude the base square to model the tower.

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.

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 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 grasshopper definition, you can create a voxelized shell shape by subtracting two volumes and finally model a Triply Periodic Minimal Surface.

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.