10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Quadratic Julia Sets
The pictures show Julia sets consisting of points generated by iterating the complex number transformation
, starting at
. The Mandelbrot set can be defined as the set of values of
for which such Julia sets are connected.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Julia Set
(
Wolfram
MathWorld
)
Mandelbrot Set
(
Wolfram
MathWorld
)
The Mandelbrot Set
(
NKS|Online
)
PERMANENT CITATION
"
Quadratic Julia Sets
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/QuadraticJuliaSets/
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
Limits of Tree Branching
Stephen Wolfram
Step-by-Step Julia Sets
Enrique Zeleny
Iterates for the Mandelbrot Set
Felipe Dimer de Oliveira
Saturn's Rings and the Cantor Set
Jeff Bryant
Generating Julia Sets
Alijah Travascio-Green
Plotting Julia Sets
Owen Barrett
Quaternion Julia Set
Fred Klingener
Julia Sets and the Mandelbrot Set
Mark McClure
Complex Newton Map
Ed Pegg Jr
Variations of the Gingerbreadman Map
Erik Mahieu
Related Topics
Complex Analysis
Dynamical Systems Theory
Fractals
Recursion
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+