Image:Lissajous curve 5by4.svg

From Wikipedia, the free encyclopedia

Image
File history
File links

Lissajous_curve_5by4.svg‎ (SVG file, nominally 600 × 600 pixels, file size: 47 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.Commons is a freely licensed media file repository. You can help.

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 $δ = π / 2$ . 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

Source

own work

This vector image was created with gnuplot.

Date

22 December 2006

Author

Alessio Damato

Permission
( Reusing this image)

see below

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".

This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0

You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	14:20, 22 December 2006	600×600 (47 KB)	Alejo2083	({{Information \|Description=A Lissajous curve, that can be expressed in parametric form as: :<math>x=A\sin(at+\delta),\quad y=B\sin(bt)</math> with <math>a=5</math>, <math>b=4</math> and <math>\delta = \pi / 2</math>. I created it with the following GNUplo)

File links

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

Trigonometric functions

Retrieved from "http://en.wikipedia.org/wiki/Image:Lissajous_curve_5by4.svg"