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Interactive Lissajous Figures

Real-time Mathematical Harmonic Curves

Understanding Lissajous Patterns

A Lissajous figure (also known as a Bowditch curve) is the graph of a system of parametric equations which describe complex harmonic motion. These mathematical animations are often used in physics and electronics to visualize the relationship between two signals. On this page, you can interact with these patterns using the seed buttons to explore how variations in frequency and phase create diverse geometric art.