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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.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Slider Zoom
SNAPSHOTS
DETAILS
Lissajous figures are easy to make on an oscilloscope.
RELATED LINKS
Lissajous Curve
(
Wolfram
MathWorld
)
Lissajous Figures
(
NKS|Online
)
PERMANENT CITATION
"
Lissajous Figures
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LissajousFigures/
Contributed by:
Stephen Wolfram
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