Pythagorean Tree

Pythagorean Tree Generator

Overview

This project generates visual scenes containing Pythagorean trees, using OpenCV and NumPy. Each scene can include a sky, earth, sun, moon, and stars, and multiple fractal trees with customizable colors and styles.

Project Structure

PythagoreanTree/
├── main.py
├── tree/
│   ├── __init__.py
│   ├── generator.py
│   ├── drawer.py
│   ├── background.py
│   └── scene_generator.py
├──output/
│   ├── output.png
├── requirements.txt
├──README.md
└──.gitignore

Libraries

• OpenCV
• NumPy

Requirements

• Python 3.x
• Install dependencies with:

pip install -r requirements.txt

Usage

To generate the Pythagorean tree, simply run:

python main.py

This will generate multiple images with different background

settings and tree designs.

Tree Customization Each tree can be configured using the following parameters in tree_gen.generate(...):

generate(x, y, length, angle, branch_angle, depth)

Tree Generation Parameters

• x, y: starting position of the tree
• length: length of the base square
• angle: starting angle (usually π/2)
• branch_angle: angle between branches (e.g., np.pi / 4)
• depth: recursion depth (e.g., 10)

Tree Styling

Each tree dictionary also supports:

• start_color: RGB tuple for the base color
• end_color: RGB tuple for the top color
• gradient: one of "linear", "reverse", "constant"

Scene Configuration

Each scene is defined by a dictionary like:

{
    "day": True or False,            # Background color (day/night)
    "sun": True or False,            # Show sun
    "moon": True or False,           # Show moon and stars
    "text": "Scene title",           # Text label
    "file": "output_file.png"        # Output file name
}