Lissajous Curves
This interactive simulator explores Lissajous Curves in Math Visualization. Beautiful patterns from two frequencies with adjustable ratio. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Math Visualization.
Key terms
- lissajous
- curves
- math
- visualization
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
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