## Lissajous Curves JavaScript Simulation Applet HTML5

- Details
- Parent Category: Pure Mathematics
- Category: 1 Functions and graphs
- Created: Friday, 04 May 2018 17:45
- Last Updated: Friday, 07 December 2018 09:28
- Published: Friday, 04 May 2018 17:45
- Written by Wei Chiong
- Hits: 3228

### About

**x****=**

The shape of the curves are highly sensitive to the ratio

*amplitude** cos (*frequency1***time*)*y*=*amplitude** cos (*frecuency2***time*+*phase*)*. Do experiment with different values of the frequencies and the phase using the fields provided in the simulation.*

**frequency1/frequency2**Dpto. de Informática y Automática

E.T.S. Ingeniería Informática, UNED

Juan del Rosal 16, 28040 Madrid, Spain

### Translations

Code | Language | Translator | Run | |
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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 |

### Credits

Alfonso Urqua; Carla Martn; Tan Wei Chiong; Loo Kang Wee

### end faq

### Sample Learning Goals

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### 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.

Research

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### Video

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### Version:

- http://weelookang.blogspot.com/2018/05/lissajous-curves-javascript-simulation.html
- http://www.euclides.dia.uned.es/simulab-pfp/curso_online/cap7_caseStudies/leccion.htm by Alfonso Urquia and Carla Martin-Villalba

### Other Resources

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