Cantor set
The Cantor set is a unique mathematical construct created by removing the middle third of a line segment repeatedly. Starting with the interval from 0 to 1, the first step removes the segment from 1/3 to 2/3, leaving two segments: [0, 1/3] and [2/3, 1]. This process continues indefinitely, removing the middle third of each remaining segment.
Despite removing many points, the Cantor set contains an uncountably infinite number of points. It is a classic example in set theory and illustrates concepts such as measure theory and topology. The Cantor set is also known for being unconnected and having a total length of zero, yet it remains a complex and intriguing structure