Lissajous Curves JavaScript Simulation Applet HTML5
Lissajous curves are a family of parametric curves studied by the French physicist and mathematician Jules Antoine Lissajous (1822 - 1880).
Lissajous curves are the composition of two harmonic motions (sinusoids):
x = amplitude * cos ( frequency1 * time )
y = amplitude * cos ( frecuency2 * time + phase )
The shape of the curves are highly sensitive to the ratio frequency1/frequency2.
There are 3 curves A, B, and C in this simulation, which are vastly different from each other. The amplitude of the curve is set to 30, but both frequencies and the phase can be changed.
The link to the simulation can be found here.
Do experiment with different values of the frequencies and the phase using the fields provided in the simulation, and see how the graph changes.
Lissajous curves are the composition of two harmonic motions (sinusoids):
x = amplitude * cos ( frequency1 * time )
y = amplitude * cos ( frecuency2 * time + phase )
The shape of the curves are highly sensitive to the ratio frequency1/frequency2.
There are 3 curves A, B, and C in this simulation, which are vastly different from each other. The amplitude of the curve is set to 30, but both frequencies and the phase can be changed.
The link to the simulation can be found here.
Do experiment with different values of the frequencies and the phase using the fields provided in the simulation, and see how the graph changes.
