Cantor set

The Cantor set, introduced by German mathematician Georg Cantor, is a remarkable construction involving only the real numbers between zero and one.

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The Cantor set is defined by repeatedly removing the middle thirds of line segments. One starts by removing the middle third from the unit interval , leaving ∪ . Next, the "middle thirds" of all of the remaining intervals are removed. This process is continued ad infinitum. The Cantor set consists of all points in the interval that are not removed at any step in this infinite process.

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The first six steps of this process are illustrated below.

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German: German may mean:...

Mathematician: A mathematician is a person whose area of study and research is mathematics....

Georg Cantor: Georg Ferdinand Ludwig Philipp Cantor (March 3, 1845 – January 6, 1918) was a mathematician who was born in Russia and lived in Germany for most of his life. He is best known as the creator of modern set theory. He is recognized by mathematicians for having extended set theory to the concept o...

Cantor set related Images and Photos (experimental)

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