Core Formula:

x = q × sin(c) × scale + centerX

y = (q + 19×d) × cos(c) × scale + centerY

Path Types:

Original: Fixed center (200, 200)
Figure-8: sin(t×speed), sin(t×speed×2)
Wandering: Lissajous curves
Spiral: Expanding spiral motion

Complete exploration of mathematical beauty:
• 8 Color modes from mono to plasma
• 4 Path variations from circles to chaos
• 3 Draw modes for different aesthetics
• Real-time parameter control

Simple trigonometry → Complex organic patterns!

Want to understand how the trig creates these living shapes?
→ Interactive Trigonometry Demo

Original by @yuruyurau - May 27, 2024
Enhanced by Stephen Taylor & Claude
#つぶやきProcessing

Interested in exploring how science lives in narrative?
Check out the story of Oona 13 →