Cantor-Set

Georg_Cantor2
Georg Cantor

The Cantor Set is one of the earliest fractals discovered – by Georg Cantor in 1874

Part of the then socalled “mathematical monsters” (link)

Short info how it is generated. Take out the middle third of a line. Then take out each middle third of the 2 new lines – repeat until infinity.

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This is how it looks like:
729px-Cantor_set_in_seven_iterations

3D-version:

Examples where this fractal can be found in nature:
-noise interference (Mandelbrot&IBM, 2nd paragraph)
Saturns Rings
-Quantum Hall Effect (PDF)
-Techno-music, especially goatrance (own research)
….