The Pythagoras tree

The Pythagoras tree is a fractal invented by the Dutch mathematics teacher Albert E. Bosman in 1942. This set belongs to a type of fractals called L-systems. L-systems are a type of fractals that may resemble branching patterns, such as in plants, biological cells, blood vessels, etc.

The mathematics behind fractals began to form in the 17th century by the work of the mathematician and philosopher Gottfried Leibniz. A fractal is a mathematical set that makes a repeating pattern at every scale creating an expanding symmetry. If the repetitions are exactly the same on every scale it is called a self-similar pattern. Many patterns in nature shows some form of statistical self-similarity, and can be approximated by using fractals.

image source:
invented by: Albert E. Bosman
fabrication process: fractal