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
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Lissajous figures are easy to make on an oscilloscope.
Lissajous Curve
(
Wolfram
MathWorld
)
Lissajous Figures
(
NKS|Online
)
"
Lissajous Figures
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LissajousFigures/
Contributed by:
Stephen Wolfram
Classic Scientific Images
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Legendre Lissajous Figures
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Golden Spiral
Geometric and Continued Fraction Expansion of the Golden Ratio
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