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🌊 Sine Curve Generation via Circle Animation | Manim Visual
This project animates how a sine wave emerges from circular motion using Manim. It shows a dot moving along a circle, with its vertical position traced horizontally to create the familiar sine wave.
📐 What It Demonstrates
- The relationship between uniform circular motion and the sine curve
- How the vertical projection of a rotating point forms the waveform
- Real-time tracing and dynamic line connections from circle to wave
🧠 Educational Focus
- Trigonometry fundamentals
- Unit circle and angle visualization
- Parametric motion → Cartesian graphing
- Intro to oscillatory motion
🎨 Visual Breakdown
| Element | Description |
|---|---|
| Circle | Centered at a fixed origin |
| Green Dot | Moves around the circle (angle ↔ height) |
| Red Drawer Dot | Traces the wave left to right |
| Yellow Line | Vertical projection to wave path |
| Blue Line | Line from center to dot |
| Camera Movement | Smooth zoom & tracking of wave growth |
| Labels | π, 2π, 3π… added along x-axis |
📦 Requirements
- Python 3.8+
- Manim Community Edition
- NumPy
pip install manim numpy
▶️ How to Render
manim -pql Sine_curve.py FollowingGraphCamera
Use -qh for high-quality output. 📁 Files
Sine_curve.py — Manim animation script
README.md — This documentation
🎓 Ideal For
Teaching sine curves and wave formation
Trigonometry lessons or unit circle demos
Math and physics classrooms
Animated explainers or TTS narration
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