IMA Logo

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

Professor Mike Field
Department of Mechanical Engineering
University of California
Santa Barbara, CA 93106