10809
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Visualizing Superellipses
This Demonstration shows the superellipse curve as a function of its parameters
,
, and
.
The superellipse has parametric equations
,
, for
in the first quadrant (
,
); multiplying by
gives the equations for the curve in the other quadrants.
The special case
gives an ellipse; the further restriction
gives a circle.
Contributed by:
Peter Falloon
THINGS TO TRY
Gamepad Controls
SNAPSHOTS
RELATED LINKS
Superellipse
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Visualizing Superellipses
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualizingSuperellipses/
Contributed by:
Peter Falloon
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
Superellipse Shapes
Stephen Wolfram
Simple Spline Curves
Richard Phillips and Rob Morris
Locus of Points Definition of an Ellipse, Hyperbola, Parabola, and Oval of Cassini
Marc Brodie
Watt's Curve
Jay Warendorff
Cone, Tent, and Cylinder
George Beck
An Elliptic Identity
Jay Warendorff
Ellipse and Friends
George Beck
Intersecting a Rotating Cone with a Plane
George Beck
Conic Sections: Move Foci
Abby Brown
Plane Cubic Curves
George Beck
Related Topics
Algebraic Curves
Analytic Geometry
Curves
Ellipses
Generation of Form
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+