The cactus (Topic n°5) - Lycée Val de Durance (Pertuis)

Our research topic was based on Lindenmayer systems, which are a type of formal language primarily used to simulate a simplified version of the growth of plants. These types of systems were introduced by Aristid Lindenmayer, a Hungarian biologist, in 1968.
Our journey into Lindenmayer systems began with the intention of simulating cactus growth, but quickly evolved into a broader exploration of how simple rules can model complex natural behaviors. Starting with sketches and physical models, we examined the visual and structural logic of growth patterns. We then developed mathematical models to describe how these patterns evolve, followed by programmatic simulations using Python and 3D graphics. The project culminated in 3D-printed models that brought our virtual plants into the real world—demonstrating the powerful intersection of mathematics, nature, and design.