🌿 Grow-a-Fern (MATLAB)

A fractal-based simulation in MATLAB that visualizes the organic growth patterns of a fern using mathematical modeling.

🧠 Project Description

This project uses iterative function systems (IFS) in MATLAB to generate and simulate the growth of a Barnsley Fern — a mathematical fractal that mimics natural fern structures.

✨ Features

• 📐 Based on affine transformation matrices
• 🌿 Visualizes each iteration of fern growth
• 🎞️ Animation support to demonstrate stepwise growth
• 💾 Save outputs as images for presentation or study

🛠️ Built With

• MATLAB (100%)

📂 How to Use

1. Open the file grow_a_fern.m in MATLAB.
2. Run the script.
3. Adjust iteration counts or transformation probabilities for custom patterns.

📸 Demo

Include a screenshot or a .gif of the output plot for maximum effect!

📄 License

This project is licensed under the MIT License. See the LICENSE file for details.

💡 Inspiration

The Barnsley Fern is a beautiful example of how chaotic systems and linear algebra can produce naturalistic forms. This project was a personal exploration of how math and nature intertwine.