Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3

The video explores the intriguing field of topology, starting with an introduction to its concepts and why it fascinates mathematicians. It delves into the unsolved inscribed square problem and presents a solution to a related problem, the inscribed rectangle problem, using pairs of points. The video explains the difference between ordered and unordered pairs and maps these pairs onto a Mobius strip, leading to a proof of the inscribed rectangle problem. The conclusion ties the concepts together, emphasizing the role of topology in solving mathematical problems.

What new insight or understanding did you gain from this video?