If you click on the next image, you will
see that a small square portion of the IMA logo
has been marked.
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.
In the next image we show the result of 21 billion iterations.
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.
In the next image we show a magnified portion of the IMA logo
which contains the region shown above.
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