Fractal Generator

This module provides functions to generate and plot various fractals using NumPy and Matplotlib libraries. The following fractals are currently supported:

• Mandelbrot Set
• Burning Ship
• Julia Set
• Sierpinski Triangle

Installation

To use this module, you need to have Python 3 installed along with the NumPy and Matplotlib libraries. You can install the required libraries using pip:

pip install numpy matplotlib

Usage

Import the module and use the provided functions to generate and plot fractals.

import numpy as np
import matplotlib.pyplot as plt
import fractal_generator

# Generate a Mandelbrot fractal
fractal = fractal_generator.generate_mandelbrot(width, height, x_min, x_max, y_min, y_max, max_iter)

# Generate a Burning Ship fractal
fractal = fractal_generator.generate_burning_ship(width, height, x_min, x_max, y_min, y_max, max_iter)

# Generate a Julia fractal
fractal = fractal_generator.generate_julia(width, height, x_min, x_max, y_min, y_max, max_iter, c)

# Generate a Sierpinski Triangle fractal
fractal = fractal_generator.generate_sierpinski(width, height, num_iterations)

# Plot the fractal
fractal_generator.plot_fractal(fractal)

Replace the function arguments with appropriate values for your desired fractal.

Fractal Functions

generate_mandelbrot(width, height, x_min, x_max, y_min, y_max, max_iter)

Generates a Mandelbrot fractal.

• width: Width of the fractal image in pixels.
• height: Height of the fractal image in pixels.
• x_min: Minimum value of the x-axis.
• x_max: Maximum value of the x-axis.
• y_min: Minimum value of the y-axis.
• y_max: Maximum value of the y-axis.
• max_iter: Maximum number of iterations to compute the fractal.

Returns the generated fractal as a NumPy array.

generate_burning_ship(width, height, x_min, x_max, y_min, y_max, max_iter)

Generates a Burning Ship fractal.

• width: Width of the fractal image in pixels.
• height: Height of the fractal image in pixels.
• x_min: Minimum value of the x-axis.
• x_max: Maximum value of the x-axis.
• y_min: Minimum value of the y-axis.
• y_max: Maximum value of the y-axis.
• max_iter: Maximum number of iterations to compute the fractal.

Returns the generated fractal as a NumPy array.

generate_julia(width, height, x_min, x_max, y_min, y_max, max_iter, c)

Generates a Julia fractal.

• width: Width of the fractal image in pixels.
• height: Height of the fractal image in pixels.
• x_min: Minimum value of the x-axis.
• x_max: Maximum value of the x-axis.
• y_min: Minimum value of the y-axis.
• y_max: Maximum value of the y-axis.
• max_iter: Maximum number of iterations to compute the fractal.
• c: Complex constant for the Julia set.

Returns the generated fractal as a NumPy array.

generate_sierpinski(width, height, num_iterations)

Generates a Sierpinski Triangle fractal.

• width: Width of the fractal image in pixels.
• height: Height of

the fractal image in pixels.

• num_iterations: Number of iterations to construct the fractal.

Returns the generated fractal as a NumPy array.

plot_fractal(fractal)

Plots the given fractal using Matplotlib.

• fractal: Fractal image as a NumPy array.

License

This module is licensed under the MIT License.