2 Wave Rings #shorts

3D Wave Ring 4 presents 2 related examples from wave rings to compare the same mathematical phenomenon.

Mode: 3D Parametric Curves

Family: Wave Rings

Examples in this short:
• Example 1: 3D Wave Ring 4
• Example 2: 3D Wave Ring 9

Key equations / objects:
• x(t)=(1.5+0.22\cos 4t)\cos 2t,\ y(t)=(1.5+0.22\cos 4t)\sin 2t,\ z(t)=0.55\sin 4t
• x(t)=(1.5+0.22\cos 9t)\cos 2t,\ y(t)=(1.5+0.22\cos 9t)\sin 2t,\ z(t)=0.55\sin 9t

What to notice:
• three coordinates evolve together in space
• rotation helps reveal the true 3D structure
• different parameter choices create different knots and loops
• Use camera motion and comparison views to explain spatial curves clearly.

#shorts

Видео 2 Wave Rings #shorts канала Elegant Functions