AURELION — Fractal Explorer

AURELION is a Python-based Mandelbrot fractal explorer built with Pygame and NumPy. Explore colourful mathematical patterns with cursor-based zooming and background rendering.

✨ Features

• Cursor-Based Zoom: Zoom in and out around your mouse cursor.
• Live Preview: See an immediate preview while new details render.
• Background Rendering: Keep the window responsive during calculations.
• Colourful Fractals: Explore patterns within the Mandelbrot set.
• Deep Zoom: Discover increasingly detailed regions of the fractal.

🛠️ Built With

• Python
• Pygame
• NumPy
• Threading and queues

🚀 Installation

1. Install the required libraries

python -m pip install pygame numpy

2. Run AURELION

Make sure main.py is in your project folder, then run:

python main.py

🎮 Controls

Control	Action
Mouse wheel up	Zoom in towards the cursor
Mouse wheel down	Zoom out around the cursor
ESC	Exit the application

🔬 How It Works

AURELION generates the Mandelbrot set using the equation:

[ z_{n+1}=z_n^2+c ]

Each pixel represents a complex number. The program iterates over these numbers to determine how their values behave and uses the results to colour the fractal.

New views are rendered in a background thread while the existing image provides a temporary preview.

⚠️ Limitations

• Deep zooms may take longer to render.
• Preview images may temporarily appear pixelated or stretched.
• Standard floating-point precision limits extreme magnification.
• The fractal has infinite mathematical detail, but each rendered image has finite resolution.

🌌 Goal

AURELION makes exploring fractals interactive and accessible, combining programming, mathematics, and visual art in an experience of seemingly endless discovery.

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Made with Python, mathematics, and curiosity.