9867
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Lissajous Figures
Lissajous figures are parametric curves where both
x(t)
and
y(t)
are sine functions. If the ratio of the frequencies is rational, the curve will always eventually close. If it is irrational, the curve will never close and eventually fill a region.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Slider Zoom
SNAPSHOTS
DETAILS
Lissajous figures are easy to make on an oscilloscope.
RELATED LINKS
Lissajous Curve
(
Wolfram
MathWorld
)
Lissajous Figures
(
NKS|Online
)
PERMANENT CITATION
"
Lissajous Figures
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LissajousFigures/
Contributed by:
Stephen Wolfram
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Damped 3D Lissajous Figures
Ralf Schaper
Damped 2D Lissajous Figures
Ralf Schaper
Generating Lissajous Figures
Michael Rogers (Oxford College/Emory University)
3D Lissajous Figures
Stephen Wolfram
Lissajous Array
Stephen Wolfram
Peano Curve in 3D
Ed Pegg Jr.
Integer Trigonometric Patterns
Stephen Wolfram
Nested Trigonometric Function Plots
Stephen Wolfram
Signs in Space
Herbert W. Franke
Legendre Lissajous Figures
Oleksandr Pavlyk
Related Topics
Classic Scientific Images
Curves
Short Programs
Trigonometric Functions
High School Algebra II and Trigonometry
High School Calculus and Analytic Geometry
High School Mathematics
High School Physics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+