Frequency Sweep Geometry #shorts

Frequency Sweep Lissajous 2→9 shows how sweeping one frequency parameter can smoothly morph a mathematical figure.

Mode: Frequency Sweep

Examples in this short:
• Example 1: Frequency Sweep Lissajous 2→9
• Example 2: Frequency Sweep Lissajous 3→8

Key equations / objects:
• x=\sin(a t+\pi/2),\ y=\sin(b t),\ k:2\to9
• x=\sin(a t+\pi/2),\ y=\sin(b t),\ k:3\to8

What to notice:
• one frequency parameter changes smoothly through the animation
• the geometry evolves continuously rather than jumping between cases
• harmonic structure becomes easier to see when the sweep is gradual
• Show how a continuous change in frequency transforms the geometry and creates smooth visual evolution.

#shorts

Видео Frequency Sweep Geometry #shorts канала Elegant Functions