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Lissajous Play - Maths Art!

價格:免費

更新日期:2019-02-23

檔案大小:8.5 MB

目前版本:1.1

版本需求:需要 iOS 11.1 或以上版本。與 iPhone、iPad 及 iPod touch 相容。

支援語言:英語

Lissajous Play - Maths Art!(圖1)-速報App

Use Lissajous Play to explore Lissajous figures by adjusting all the variable parameter to your desires.

Lissajous Play - Maths Art!(圖2)-速報App

The basics are that there are two sine waves being used to determine the plot coordinates, one driving the x value and the other driving the y value. If these are in phase, and the same frequency, then you get a stright diagonal line; push the y data 90º (π/4 radians) out of phase and you get a circle.

Lissajous Play - Maths Art!(圖3)-速報App

The phase slider lets you vary the phase between 0-360º ( 0 - 2π radians)

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With the x & y frequencies as Integers the Lissajous will be a closed loop.

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Varying the x&y frequencies will produce interesting shapes with which you can animate the phase, or watch the shape traced out over time.

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If the line length is at max then a closed loop shape will only trace once. If one, or both, of the frequencies are not intergers then things get interesting, as it's not a closed loop the trace will continue to draw and get more complex, adjusting the phase adds even more interest.

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Adjust the background/plot colours, line width/shadow, to pleasing artistic effect.

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A must have for physics and engineering students, or just for interest and fun.

Have fun, and share your work...

支援平台:iPhone