Image:Lissajous curve 9by8.svg

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Lissajous_curve_9by8.svg‎ (600 × 600 pixel, file size: 49 KB, MIME type: image/svg+xml)

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[edit] Summary

Description

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

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

with $a = 9$ , $b = 8$ and $δ = π / 2$ . I created it with the following GNUplot code:

set samples 5000
set terminal svg
set output "Lissajous_curve_9by8.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=9
b=8
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

see below

[edit] Licensing

I, the author 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".