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Deposit  # 113

"A Polynomial function that is iterated from an initial value either stays bounded or diverges to infinity.  These Julia sets are created from the function f(z) = Z^2 + C where both Z and C-Values are imaginary numbers and C is some fixed constant.  The coloring is representative of the rate at which a specified range of values diverge. The white region is made up of those points which remain bounded."

  Chaya's animation is a large file.  Be patient.
Animated Julia sets
Chaya Morasha Gilbert-McNabb
Chaya's signature         

Other Fractals
  in the NCB

Mandelbrot Set
   An Interactive Java Script with MandelZoom

Exploring Sierpinski
   Interactive Sierpinski Triangles

Menger's Sponge

    A 3-D Analog of Sierpinski's Carpet

A 2006 JAVA Applet
   Baravelle Spirals - Recursive Series

We invite you to contribute a Fractal "deposit"
  to the National Curve Bank.

See    Submit a Curve.

Links helpful to JAVA programmers creating mathematical projects
    JavaView:  Interact 3D Geometry and Visualization
    JEP:  Java Math Expression Parser

Waclaw Sierpinski

Benoit Mandelbrot
1924 - 2010
August, 1985