Seven Bridges of Königsberg

The Seven Bridges of Königsberg is a famous problem in mathematics that asks whether one can walk through the city of Königsberg and cross each of its seven bridges exactly once without retracing steps. In 1736, mathematician Leonhard Euler proved it’s impossible by representing landmasses as points and bridges as lines, then analyzing their connectivity. This work laid the foundation for graph theory, a branch of mathematics studying relationships between objects. The problem illustrates how complex systems can be understood through logical structures, influencing modern network design, computer science, and problem-solving methodologies.