Cantor Set

cantor-b

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

Back then it was one of the socalled “mathematical monsters” – alternativelink

How it’s generated:
Take out the middle third of a line.
Then take out each middle third of the 2 new lines – repeat until infinity.

TypeIFS
Formulacantor-formula
ClassCluster
Hausdorff Dimension0,6309..
Self-similarityidentical
ExamplesSaturns rings
noise interference
music (esp. techno)
Quantum Hall Effect
Rainfall(?)
DiscovererHenry John Stephen Smith, 1874
Georg Cantor in 1883

3D-version:

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