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🦋 Welcome to Butterflies in my IDE!

Overview

Butterflies in my IDE is a Python project that visualizes the beautiful butterfly curve using turtle graphics. This project continues the saga of creating mathematical art with Python!

🎨 What is the Butterfly Curve?

The butterfly curve is a transcendental plane curve discovered by Temple H. Fay. When plotted, it resembles a butterfly with intricate, symmetrical wings.

The Mathematical Formula

r = e^cos(t) − 2cos(4t) − sin^5(t/12)
x = sin(t) * r
y = cos(t) * r

🚀 Quick Start

# Clone the repository
git clone https://github.com/willow788/Butterflies-in-my-IDE.git

# Navigate to the directory
cd Butterflies-in-my-IDE

# Run the butterfly program
python "Python code/butterfly.py"

📖 Documentation

• Getting Started - Installation and first run
• Code Explanation - Detailed breakdown of the code
• Mathematical Background - The math behind the butterfly
• Customization Guide - How to modify colors, sizes, and formulas
• Troubleshooting - Common issues and solutions
• Gallery - Screenshots and variations

🎯 Features

✅ Beautiful butterfly curve visualization
✅ Animated drawing process
✅ Auto-scaling to fit any window size
✅ Customizable colors and parameters
✅ Clean, well-documented code

🤝 Contributing

Feel free to fork this project and create your own variations! Share your beautiful turtle graphics creations.

📝 License

This project is licensed under the MIT License.

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Happy Coding! 🦋✨