CLASSICAL FRACTALS

ROBBY MARANGELL

1. The Cantor Set

The Cantor set is awesome. You can read how awesome it is yourself in [1]. It is made byan iterative procedure. Figure 1 shows how to construct the Cantor set from the set [0, 1].

Figure 1. The Iterative procedure that makes the Cantor set

1.1. Binary Representation of the real numbers. Figure 2 shows how the real num-bers can be seen as the end result of an infinite binary ‘tree’

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Figure 2. It is way easier to make a better picture using the computer.

References

[1] Heinz-Otto Peitgen, Hartmut Jurgens, and Dietmar Saupe. Chaos and fractals: new frontiers of science.Springer Science & Business Media, 2004.