In 1889, Poincaré entered a mathematics competition held in honor of King Oscar II of Sweden to answer a seemingly simple question: .
Poincaré was frustrated by traditional geometry’s rigid focus on distances and angles. He wanted to understand the fundamental shape of objects. This led him to create , known today as Topology . The Scientific Legacy of Poincaré - AMS Bookstore The Scientific Legacy of Poincare
While trying to solve the "three-body problem" (predicting the motion of three celestial bodies), he made a startling discovery. He realized that even tiny changes in starting conditions could lead to wildly different outcomes—a phenomenon we now call . His realization that the future can be unpredictable even when the laws of physics are known remains the foundation of modern Chaos Theory . 2. Inventing Topology: The "Rubber-Sheet Geometry" In 1889, Poincaré entered a mathematics competition held