File:Lissajous curve 5by4.svg

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Summary

Description

A Lissajous curve, that can be expressed in parametric form as:

$x=A\sin(at+\delta),\quad y=B\sin(bt)$

with $a=5$ , $b=4$ and $\delta = \pi / 2$ . I created it with the following GNUplot code:

set samples 5000
set terminal svg
set output "Lissajous_curve_5by4.svg"

# plotting within a square
set size square

# remove most of information from the picture
set noxtic
set noytic
set key off

# plot
set parametric
a=5
b=4
delta=pi/2
plot [0:2*pi] sin(a*t + delta),sin(b*t) with lines linewidth 2

and then I post-processed with Inkscape

Date

22 December 2006

Source

own work

This vector image was created with gnuplot.

Author

Alessio Damato

Licensing

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 license.

	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
	This licensing tag was added to this file as part of the GFDL licensing update.CC-BY-SA-3.0 truetrue

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.

You are free:

to share – to copy, distribute and transmit the work
to remix – to adapt the work

Under the following conditions:

attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

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File usage

The following pages on Schools Wikipedia link to this image (list may be incomplete):

Trigonometric functions

Metadata

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Background information

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