Lissajous Curves
Interactive simulation — adjust parameters and watch the visualization update in real time.
How it works
Parametric **Lissajous** figure: **x = sin(ωₓ t + φ)**, **y = sin(ωᵧ t)**. Integer frequency ratios give **closed** curves; phase **φ** morphs the shape. The yellow dot runs along the curve in time. Used in oscilloscopes to compare two signals.
Key equations
x(t) = sin(ωₓ t + φ), y(t) = sin(ωᵧ t)