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CANTOR SET |
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The Cantor Set was originated by Georg Cantor, a German Mathematician, in 1883 It is a mathemaically generated pattern showing self-similarity at all scales. The Cantor Set is generated as follows. 1) Draw a solid line segment. 2) Divide the line segment into three equal segments. 3) Remove the middle segment. 4) Divide each of the remaining line segments into three equal smaller segments, and remove the middle segments from each. 5) Keep repeating step 4. The Cantor Set is represented by all the remaining points after doing the above process. The figure below shows the development stages of the Cantor Set at each iteration.
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