**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
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.**
**More Mathematical Recreations** |