Euler and the bridges of Königsberg

chris cambré, Dec 1, 2016

In 1735 Euler is faced with a trivial question that, according to him, has got little to do with mathematics. [b]Is it possible to make a walk through the city of Königsberg, crossing each of the seven bridges once?[/b] In this GeoGebrabook a historical math problem is brought back to life. Explore this simple but intriguing question that marked the start of a new branch of mathematics and learn about graphing. Experience yourself how math works by generalizing and modeling, ... and the genius of Eulers creativity.


  • 1. A Sunday walk through the city
  • 2. Let's ask it to a mathematician
  • 3. Euler's reaction
  • 4. paths on a graph
  • 5. Minimal change
  • 6. design the city yourself

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A Sunday walk through the city

Königsberg - Kaliningrad
Kaliningrad is a Russian enclave, surrounded by Poland and Lituania. [br]Let's go back in 1735. Königsberg is a Prussian ciry and it's a habbit to take a Sunday walk through the town, crossing the bridges on the river Pregel.
Crossing bridges
Seven bridges connect the two banks and two islands. As a game the question is raised: "Is it possible to make a walk through the town, crossing each bridge once?"
– chris cambré

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