Cantor set

The Cantor set is a fascinating mathematical concept created by repeatedly removing the middle third of a line segment. Start with a line from 0 to 1; remove the segment from 1/3 to 2/3, leaving two segments: 0 to 1/3 and 2/3 to 1. Repeat this process infinitely. What remains is the Cantor set, which has no intervals, yet contains an infinite number of points. Interestingly, it has a total length of zero, making it an example of a set that is uncountably infinite but “small” in the sense of traditional length or measure.