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Five Famous Fractals

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Mandelbrot
Mandelbox
Newton
Magnet
Burning Ship
show zoom box
click and pan
zoom
out
maximum iterations
32
64
128
256
512
resolution
1
2
4
8
X =
0.
Y =
0.
R =
3.
0.092013
s
This Demonstration presents a sample from the varied world of fractals. The fractals presented here are images of the complex plane where each pixel is colored differently. Points are colored based on their behavior under iteration of a complex function, with different functions used to generate the different fractals shown here. Sometimes the sequence of iterates diverges by growing without bound in magnitude, and sometimes it converges to a fixed point.
The values
X
and
Y
give the coordinates of the current image's center and
R
is half the width of this image. The status bar at the bottom of the controls shows the progress as a new image is generated and the number of seconds required for the calculation. Use a high number for the resolution when moving about and then choose 1 to get a finer image.
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