Fractal Renderer

A C++ fractal renderer created to explore Mandelbrot, Julia and experimental fractals.

Overview

This is a CPU-based Fractal Renderer written in C++ that generates static images of fractals using the classic escape-time algorithm.

$${\displaystyle f_{c}(z)=z^{2}+c}$$

The renderer is centered around the classic Mandelbrot formula, while also supporting several modified and experimental fractal formulas.

This project was build to explore mathematics behind fractals while learning CPU-based rendering, image generation, file I/O, std::complex, and modern C++.

Image output

Images are exported in the Portable Pixmap(PPM) format. PPM is a simple image format that can be written directly using C++ standard library without external image-procesing libraries.

Features

Fractals types

• Mandebrot types

  • Classic
  • Raised to power 3
  • Tricorn or Mandelbar
  • Cosine function
  • Sine function

• Julia set types

  • Classic
  • Flower
  • Cone
  • Sprial
  • Snake
  • Silver ratio

Color Palette

11 Unique Cosine based Palettes

• Sunset
• Ocean
• Fire
• Neon
• Blue & Green
• Orange Valley
• Rainbow
• Fire & Ice
• Electric Magenta
• Emerald
• Electric Blue

Compile and Run

g++ main.cpp frames.cpp renderer.cpp -o run && ./run

Technical Specification

• Language: C++ 17
• Rendering: CPU-based single threaded
• Output Format: Portable Pixmap(PPM)
• Math Library: std::complex
• Dependecies: None (C++ standard template library only)