Just stay till the end #mathematics #satisfying #animation #physics #space

This shape can never close itself — and that's the whole point.
Two rotating arms trace a path: one spins at speed 1, the other at speed π. Because π is irrational, the ratio between the two speeds never repeats exactly — so the traced point never returns to where it started. Run it long enough, and the trace fills the entire circle with a dense, ever-shifting mandala that never settles into a pattern.
This is a visual proof of irrationality in motion: if π were rational, the curve would eventually close into a fixed, repeating shape. It doesn't — and that's why the pattern keeps evolving instead of looping.
θ(t) = t · (1, π) mod 2π
🔴 Part of an ongoing series of math visualizations — epicycles, harmonographs, chaos systems, and generative geometry.
#math #mathvisualization #pi #shorts #geometry #generativeart #stem #science #irrationalnumbers #epicycles #mathart #satisfying

Видео Just stay till the end #mathematics #satisfying #animation #physics #space канала Glowa