The Cantor set: The perfect model of a fractal structure

The Cantor set is a classic example of a fractal, showcasing how complex structures can emerge from simple processes. It starts with a solid interval, like a line segment, which is then repeatedly divided by removing the middle third. This process creates an infinite number of distinct points, while still maintaining a cohesive structure. Despite having no length (it's "nowhere dense"), the Cantor set is uncountably infinite, challenging our intuitive understanding of size and space. It exemplifies key concepts in mathematics like infinity, dimension, and the relationship between parts and wholes.