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SVG Lissajous Figures

Parametric curves from two perpendicular oscillations — x=A·sin(at+δ), y=B·sin(bt)

x = A·sin(at + δ) y = B·sin(bt) a=1 b=1 δ=0
Frequency Ratio a : b
a (horizontal) 1
b (vertical) 1
Phase δ 0.00π
Animation
Speed 1.0x
Line width 2.5px
Color Theme
Green dot = horizontal oscillator. Orange dot = vertical. The phase angle δ sweeps automatically to reveal the full family of Lissajous curves for each a:b ratio.