Fractal Visualizer

An ImGui and OpenGL based visualizer which takes in a simple expression and generates fractal patterns by evaluating that expression in the complex plane.

Installation

Clone the repository :

git clone https://github.com/PoorYoungEagle/Fractal-Visualizer.git

Inside the folder, go to FractalVisualizer and then double-click/run the FractalVisualizer.exe file

Note: If its not working, make sure your computer has Visual C++ Redistributable installed.

Controls

Left-click + Drag - Pan around the fractal
Sroll Wheel - Zoom in and out of the fractal

Features

Operations and Functions

You can add these operations and functions for the equation.

Operators	Variables	Arithmetic / Complex Functions
+, -	z	abs, sqrt, exp, log, ln, mod, conj, real, imag
*, /	c	sin, cos, tan, asin, acos, atan
^		sinh, cosh, tanh, asinh, acosh, atanh

Note: The equation parser does not work if you use implicit multiplication. For example, use "3*x" instead of "3x".
Another Note: "real" and "imag" functions returns the real and imaginary values of the complex number respectively. It discards the other value when used.

Properties

• Customize the fractal's color gradient and its contrast.
• Adjust the number of iterations for the fractal.
• Change the escape radius threshold for the fractal.

• Supports custom made variables created by the user.
• Adjust the real and imaginary values present in the variable.

Example Equations

Keep in mind that all equations must include the variable 'z'.

• z^n + c
• 1 / (z^2 + c)
• (sin(z) + cos(z))^2 + c
• tan(z)^2 + c
• z - (z^3 - var2) / (3*z^5) / (c^2) + var1
• conj(exp(sin(z)^2 + c)) / (acos(z^2)) + var1
• sinh(z)/cosh(z)*tanh(z) + var1
• sin(3*z^3) * cos(3*real(z^2)) / tan(real(z)) + imag(c)

Pictures

Libraries Used

• OpenGL - Core Graphics API
• GLM - OpenGL Mathematics library
• glad - OpenGL Function Loader
• Dear ImGui - Immediate Mode GUI for the interactive interface and controls

Any feedback is welcome!