File:Lissajous.svg
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Size of this PNG preview of this SVG file: 687 × 460 pixels. Other resolutions: 320 × 214 pixels | 640 × 429 pixels | 1,024 × 686 pixels | 1,280 × 857 pixels | 2,560 × 1,714 pixels.
Original file (SVG file, nominally 687 × 460 pixels, file size: 10 KB)
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Summary
[edit]DescriptionLissajous.svg |
English: Six lissajous curves |
Date | |
Source | Own work |
Author | Geek3 |
Other versions | Lissajous.png |
functions:
x | y |
---|---|
sin(t) | sin(t) |
sin(t) | sin(t + ½ π) |
sin(t) | sin(t + ¼ π) |
sin(2 * t) | sin(t) |
sin(3 * t) | sin(2 * t) |
sin(4 * t) | sin(3 * t) |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license.
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- to share – to copy, distribute and transmit the work
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 16:41, 3 September 2009 | 687 × 460 (10 KB) | Geek3 (talk | contribs) | {{Information |Description={{en|1=Six lissajous curves}} |Source=Eigenes Werk (own work) |Author=Geek3 |Date=2009 |Permission= |other_versions=Lissajous.png }} Category:Lissajous Curves |
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Short title | Lissajous.svg
six Lissajous curves |
---|---|
Image title |
Lissajous-curves left-top: f/f=1 phi=0 center-top: f/f=1 phi=pi/2 right-top: f/f=1 phi=pi/4 left-bottom: f/f=2/1 phi=0 center-bottom: f/f=3/2 phi=0 right-bottom: f/f=4/3 phi=0 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 0.000001. about: http://commons.wikimedia.org/wiki/Image:Lissajous.svg source: http://commons.wikimedia.org/ rights: GNU Free Documentation license, Creative Commons Attribution ShareAlike license |