10275
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Peano Curve in 3D
Can a simple curve completely fill space? Giuseppe Peano first solved this question, and now space-filling curves are called Peano curves in his honor. The Hilbert curve, shown in this Demonstration, is the best-known Peano curve.
Contributed by:
Ed Pegg Jr.
Based on code by:
Gabriel Chenevert
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
RELATED LINKS
Hilbert Curve
(
Wolfram
MathWorld
)
Peano Curve
(
Wolfram
MathWorld
)
The Peano Curve
(
Wolfram Library Archive
)
PERMANENT CITATION
"
Peano Curve in 3D
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PeanoCurveIn3D/
Contributed by:
Ed Pegg Jr.
Based on code by:
Gabriel Chenevert
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
Schoenberg Plane-Filling Curve
Robert Dickau
Subdivision Algorithm for Bézier Curves
Isabelle Cattiaux-Huillard
Raising the Degree for Bézier Curves
Isabelle Cattiaux-Huillard and Gudrun Albrecht
Optimal Parameterization of Rational Quadratic Curves
Isabelle Cattiaux-Huillard and Gudrun Albrecht
Variation Diminishing Property for Bézier Curves
Isabelle Cattiaux-Huillard
Damped 3D Lissajous Figures
Ralf Schaper
Lissajous Figures
Stephen Wolfram
Examples of Asymptotes in 2D and 3D
Abby Brown
Bernstein Polynomials and Convex Bézier Sums
Ludwig Weingarten
Peano Curve Explorer
Robert Dickau
Related Topics
Analysis
Classic Scientific Images
Curves
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+