〰️ Lissajous Curves
Tweak the frequency ratio and phase — the same patterns you see on oscilloscopes.
Curve
x = sin(3t + φ), y = sin(4t) — φ = 90°
Frequency X (a)
3
Frequency Y (b)
4
Phase φ (degrees)
90°
What is this?
Lissajous curves appear when two sine waves are plotted against each other (e.g. on an oscilloscope). The ratio a:b determines the shape; the phase shifts it. When a = b you get a circle or ellipse.