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For Teachers


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Software Requirements


Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support full-screen? Yes. Chrome/Opera No. Firefox/ Samsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as.....
cannot work on Internet Explorer 9 and below



Alfonso Urquía; Carla Martín; Tan Wei Chiong; Loo Kang Wee

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Sample Learning Goals


For Teachers

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 is highly sensitive to the ratio frequency1/frequency2.
There are 3 curves A, B, and C in this simulation, which is vastly different from each other. The amplitude of the curve is set to 30, but both frequencies and the phase can be changed.

Do experiment with different values of the frequencies and the phase using the fields provided in the simulation, and see how the graph changes.






  2. by Alfonso Urquia and Carla Martin-Villalba

Other Resources


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