The Cantor Set was originated by Georg Cantor, a
German Mathematician, in 1883. It is a mathematically generated
fractal 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
3) Remove the middle segment.
4) Divide each of the remaining line
segments into three equal smaller segments, and remove the middle segments from
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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