A beautiful fractal visualization program built with MiniLibX graphics library. This project allows you to explore and interact with various mathematical fractals in real-time.

**Mandelbrot Set**	**Julia Set**
The classic fractal showing the boundary between bounded and unbounded values in the complex plane.	A family of fractals with customizable parameters that create stunning geometric patterns.
**Tricorn**	**Burning Ship**
A variation of the Mandelbrot set with different mathematical properties, creating unique symmetrical patterns.	A unique fractal with distinctive geometric patterns and sharp, angular structures.

• Mouse Wheel: Zoom in/out at cursor position
• Arrow Keys: Pan the view in all directions
• ESC Key: Exit the program
• SHIFT Key: Increase iteration count for higher detail (bonus feature)
• TAB Key: Additional control options

• macOS (this version is specifically built for macOS)
• GCC compiler
• MiniLibX library (included in the project)

# Clone the repository
git clone <repository-url>
cd fractol

# Build the project
make

# Run Mandelbrot set
./fractol mandelbrot

# Run Julia set with default parameters
./fractol julia

# Run Julia set with custom parameters (between -2.0 and 2.0)
./fractol julia 0.3 -0.56

# Run Tricorn set
./fractol tricorn

# Run Burning Ship set
./fractol burning_ship

• For Julia sets, parameters must be within the range [-2.0, 2.0]
• Parameters are automatically converted from string to double precision

fractol/
├── srcs/                    # Source files
│   ├── main.c              # Main program entry point
│   ├── fractal_draws.c     # Fractal calculation algorithms
│   ├── window_management.c # Window and event handling
│   ├── configure_fractal.c # Fractal configuration and rendering
│   ├── error_management.c  # Input validation and error handling
│   └── characters_into_double.c # String to double conversion
├── inc/                    # Header files
│   └── fractol.h          # Main header with all definitions
├── mlx/                    # MiniLibX graphics library
├── utils/                  # Utility libraries
│   └── ft_printf/         # Custom printf implementation
├── Makefile               # Build configuration
├── Mandelbrot.gif         # Mandelbrot set demonstration
├── Julia_set.gif          # Julia set demonstration
└── README.md              # This file

• MiniLibX: A minimal graphics library for macOS
• Window Size: 500x500 pixels
• Coordinate System: Cartesian plane from (-2, -2) to (2, 2)
• Color System: RGB color mapping based on iteration count

• Iteration Limit: Configurable (default: 1000 iterations)
• Precision: Double precision floating-point calculations
• Zoom: Infinite zoom capability with mouse wheel
• Panning: Smooth movement with arrow keys

• Proper cleanup on program exit
• No memory leaks
• Efficient image buffer management

• draw_mandelbrot(): Renders the Mandelbrot set
• draw_julia(): Renders Julia sets with custom parameters
• draw_tricorn(): Renders the Tricorn fractal
• draw_burningship(): Renders the Burning Ship fractal

• manage_key(): Handles keyboard input
• mouse_hook(): Handles mouse interactions
• close_red_cross(): Handles window closing

• ft_atod(): Converts ASCII strings to double precision
• color_fractal(): Maps iteration count to RGB colors
• map(): Scales values between coordinate systems

The program uses a dynamic color scheme where:

• Colors are mapped based on the number of iterations
• Higher iteration counts result in different color gradients
• The color mapping creates beautiful visual patterns

The program includes comprehensive error handling for:

• Invalid command line arguments
• Out-of-range parameters for Julia sets
• Missing or incorrect fractal names
• Proper cleanup on errors

./fractol mandelbrot
./fractol julia 0.285 0.01
./fractol julia -0.4 0.6
./fractol tricorn
./fractol burning_ship

The program provides helpful error messages when invalid input is provided, including examples of correct usage.

make        # Build the project
make clean  # Remove object files
make fclean # Remove object files and executable
make re     # Rebuild the project from scratch