File:Lissajous 2 3 0.25.svg

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DescriptionLissajous 2 3 0.25.svg	Lissajous curve a = 2 b = 3 δ = -π/4
Date	2009
Source	Own work
Author	Geek3 (talk)

Mathematical Function Plot
Description	Plot of a lissajous curve
x Equation	$x(t)=\sin(2\pi 2t)$
y Equation	$y(t)=\sin(2\pi (3t-{\frac {1}{8}}))$
Coordinate System	Cartesian
t Range	0 .. 1
X Range	-1 .. 1
Y Range	-1 .. 1

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	22:32, 12 September 2009		160 × 120 (2 KB)	Geek3 (talk \| contribs)	author:~~~

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Usage on de.wikipedia.org
- Lissajous-Figur
Usage on fi.wikipedia.org
- Lissajous’n käyrät
Usage on zh.wikipedia.org
- 利萨茹曲线

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Short title

Lissajous_2_3_0.25.svg

Image title

    Lissajous-curves

    x(t) = sin(pi * 2 * 2t)
    y(t) = sin(pi * (3 * 2t - 0.25))

    f1/f2 = 2/3 	phi = 0.25

    plotted with several adapted cubic bezier-curves
    The plotcurves were calculated by some fancy code. The bezier-curve
    controlpoints are placed on tangents of the function-curve. They are
    furthermore positioned in a way to minimize the average quadratic distance
    between the bezier-curve and the function. This gives an accuracy, so that
    the deviation is in no point greater than 0.00001.

    about: http://commons.wikimedia.org/wiki/Image:Lissajous_2_3_0.25.svg
    source: http://commons.wikimedia.org/
    rights: GNU Free Documentation license,
            Creative Commons Attribution ShareAlike license

File:Lissajous 2 3 0.25.svg

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