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turtles-all-the-way-down

★ 1 Open GitHub ↗

This project creates stunning visuals using turtle graphics. These spirals emerge from circles (wow right?)

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# 🐢 Turtles All The Way Down
*A Dazzling Python Turtle Graphics Gallery*

---
## 🌈 Project Overview

**Turtles All The Way Down** is a collection of mathematical art and visualizations created using the classic Python turtle module.  
Discover beautiful geometry, curve plotting, and creative pattern generation—perfect for learning, teaching, or just marveling at math-meets-art!

---

## 📚 Gallery of Patterns

Explore these highlights from the repo (with links to code and demos):

### 🌀 Circular Sine Wave

[<img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Circular%20Sine%20Wave/Screenshot%202026-01-10%20201833.png" height="128">](https://github.com/willow788/turtles-all-the-way-down/blob/main/Circular%20Sine%20Wave/circsin.py)  
*Smooth oscillations through the circle, beautifully colored.  
[Code → Circular Sine Wave/circsin.py](https://github.com/willow788/turtles-all-the-way-down/blob/main/Circular%20Sine%20Wave/circsin.py)*

---

### 🔺 Deltoid Curve

[<img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Deltoid%20Curve/Screenshot%202026-01-10%20204001.png" height="128">](https://github.com/willow788/turtles-all-the-way-down/blob/main/Deltoid%20Curve/deltoid.py)  
*A classic 3-cusped hypocycloid drawn with precision.  
[Code → Deltoid Curve/deltoid.py](https://github.com/willow788/turtles-all-the-way-down/blob/main/Deltoid%20Curve/deltoid.py)*

---

### 💛 Multi-heart Patterns

[<img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Multi-heart%20Patterns/output.png" height="128">](https://github.com/willow788/turtles-all-the-way-down/blob/main/Multi-heart%20Patterns/multiheart.py)  
*Layers of hearts, rendered with mathematical love.  
[Code → Multi-heart Patterns/multiheart.py](https://github.com/willow788/turtles-all-the-way-down/blob/main/Multi-heart%20Patterns/multiheart.py)*

---

### 🌸 Random Petal Generator

[<img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Random%20Petal%20Generator/output.png" height="128">](https://github.com/willow788/turtles-all-the-way-down/blob/main/Random%20Petal%20Generator/petal.py)  
*Procedural petals with random angles and vibrant fill.  
[Code → Random Petal Generator/petal.py](https://github.com/willow788/turtles-all-the-way-down/blob/main/Random%20Petal%20Generator/petal.py)*

---

### 🌀 Spirals & Demos

[<img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Demonstration/Spirals.png" height="128">](https://github.com/willow788/turtles-all-the-way-down/blob/main/Spirals%20Code/main.py)  
*Swirling, hypnotic spiral patterns.  
[Code → Spirals Code/main.py](https://github.com/willow788/turtles-all-the-way-down/blob/main/Spirals%20Code/main.py)*

---

### 💧 Nephroid Curve

A rainbow-glowing nephroid plotted precisely.  
[View code](https://github.com/willow788/turtles-all-the-way-down/blob/main/Nephroid%20Curve/nephroid.py)

---

### ❤️ Rotating Cardioid Pattern

Twelve cardioids arranged in rotation with shimmering colors.  
[View code](https://github.com/willow788/turtles-all-the-way-down/blob/main/Rotating%20Cardioid%20pattern/rotate.py)

---

### 🌞 Sunburst Lines from a Circle Edge

Golden lines radiate from the circumference for a sunburst effect.  
[View code](https://github.com/willow788/turtles-all-the-way-down/blob/main/Sunburst%20Lines%20from%20a%20circle%20edge/main.py)

---

## 🏗️ Advanced Trig Patterns

*Inside the [`TRIGGRAPHY`](https://github.com/willow788/turtles-all-the-way-down/tree/main/TRIGGRAPHY) folder:
- Amplitude Modulation
- Cos+Sin Curves
- Cosine, Sine, and Frequency Modulates...and more!

---

## 🛠️ How to Run

1. **Clone the repository:**  
   ```bash
   git clone https://github.com/willow788/turtles-all-the-way-down.git
   cd turtles-all-the-way-down
   ```
2. **Install Python (3.x) if you haven’t already.**
3. **Run any pattern:**  
   ```bash
   python "Circular Sine Wave/circsin.py"
   python "Deltoid Curve/deltoid.py"
   # etc.
   ```

---

## 🎁 Contribution & Community

- **New art or patterns?** PRs and ideas welcome!
- **Found a bug or want a new mathematical shape?** Please open an issue.
- **Credit?** All images are computed using the Python turtle module and open math.

---

## 🌟 Star this repository if you enjoy math+art!

---

## ⚡ More preview...

<table>
  <tr>
    <td><img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Deltoid%20Curve/Screenshot%202026-01-10%20204001.png" height="120"><br>Deltoid Curve</td>
    <td><img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Circular%20Sine%20Wave/Screenshot%202026-01-10%20201833.png" height="120"><br>Circular Sine</td>
    <td><img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Random%20Petal%20Generator/output.png" height="120"><br>Random Petal</td>
    <td><img src="https://github.com/willow788/turtles-all-the-way-down/raw/main/Multi-heart%20Patterns/output.png" height="120"><br>Multi-heart</td>
  </tr>
</table>

---

## 📜 License

MIT — use, share, and remix!

---

### Made with 🐢 [Python turtle](https://docs.python.org/3/library/turtle.html)

---

turtles-all-the-way-down

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