Newton Fractal Viewer

A high-performance GPU-accelerated Newton fractal generator with an interactive PyQt6 interface.

Features

• GPU Acceleration: Uses CuPy for fast computation on NVIDIA GPUs
• Interactive Zooming: Click and drag to zoom into fractal regions
• Custom Functions: Enter any complex function (e.g., z**3 - 1, exp(z) - sin(z))
• High Resolution: Adjustable resolution multiplier for detailed renders
• Export: Save fractals as PNG/JPEG images

Screenshots

Main application interface

Real-time fractal computation with progress tracking

Example Fractals

Function	Result
$z^3 - 1$
$0.1 \cdot e^z - \sin(z)$
$e^{\sin(z^3) + \cos(z^3)} + 3$
$\tan(z^3) + \cos(z^3) + \sin(z^3)$

Requirements

• Python 3.7+
• PyQt6
• CuPy (NVIDIA GPU with CUDA 13.0+ support)
• SymPy
• NumPy
• Hardware: Strong GPU recommended (tested on GeForce RTX 4060)

Installation

pip install PyQt6 cupy sympy numpy

Usage

python main.py

Enter a complex function in the input field and click "Compute" to generate the fractal. Use left-click and drag to zoom into interesting regions.

Controls

• Function Input: Enter mathematical expressions using z as the complex variable
• Compute: Generate fractal for the current function
• Resolution Multiplier: Increase for higher quality (slower computation)
• Reset Zoom: Return to full fractal view
• Save Image: Export current fractal as image file
• Exit: Close application