Circle Optical Illusion - Polyrhythm & Geometry Transformation (4K 60fps)

This animation visualizes the beauty of modular multiplication on a circle. As the multiplier changes, points on the circle connect to form mesmerizing geometric patterns — cardioids, nephroids, and beyond. 🎵 What you're seeing: 200 points evenly distributed on a circle Each point i connects to point (i × multiplier) mod 200 As the multiplier smoothly changes, the pattern flows and transforms This creates the famous "times table" or "modular multiplication" visualization 📐 Mathematical patterns: Multiplier 2 → Cardioid (heart shape) Multiplier 3 → Nephroid (kidney shape) Multiplier 4 → 3-leaf pattern Multiplier 5 → 4-leaf pattern Higher multipliers → increasingly complex and beautiful patterns 🎬 Technical details: Resolution: 3840×2160 (4K) Frame rate: 60fps Total duration: ~4.5 minutes 🔔 Subscribe for more mathematical visualizations! #OpticalIllusion #CircleAnimation #MathVisualization #Polyrhythm #GeometryTransformation #ModularMultiplication #4K #60fps #Manim