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Lissajous Figures

Lissajous figures are parametric curves where both x(t) and y(t) are sine functions. If the ratio of the frequencies is rational, the curve will always eventually close. If it is irrational, the curve will never close and eventually fill a region.

THINGS TO TRY

SNAPSHOTS

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DETAILS

Lissajous figures are easy to make on an oscilloscope.

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PERMANENT CITATION

"Lissajous Figures" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/LissajousFigures/
Contributed by: Stephen Wolfram
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