IMA
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Chaotic Attractors
The image was originally discovered by Jim Richardson,
Systems Analyst, University of Sydney, Australia.
If you click on the next image, you will see that a small square
portion of the IMA logo has been marked.
[44K]
In
the next few images we show the result of computing the area inside
the marked square. The magnification of the square is x50 (in
area terms 50 x 50 = 2,500). In order to obtain a reasonable resolution
of the image inside the square, a very large number of
computations needed to be done. The first image we show is the
result of 3 billion iterations.
 [130K]
In
the next image we show the result of 21 billion iterations.
[66K]
Finally,
we show the result of 209 billion iterations. Notice the fine
detail. In spite of the fact that the mapping used to produce
this image was `chaotic', the image shows very fine and sharp
detail, even at high magnification.
[257K]
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