Paths for freedom and progress
HISTORY - 07/07/2021

The Seven Bridges of Königsberg is a historically notable problem in Maths. Its negative resolution by Leonhard Euler in 1736 laid the foundations of graph theory and prefigured the idea of topology.

The problem was to walk through the city and cross each of 7 bridges once and only once. Euler proved that the problem has no solution. The difficulty he faced was the development of a suitable technique of analysis, and of subsequent tests that established this assertion with mathematical rigor.

He sketched up the problem as 4 nodes connected with lines (the bridges.  The solution and its logic follows here:

The city of Königsberg in East Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel River, and included two large islands—Kneiphof and Lomse—which were connected to each other, or to the two mainland portions of the city, by the seven bridges.

The Russian brutal solution to the Mathematical problem was to destroy 2 bridges. Remaining 2 nodes and 5 bridges the solution is given. They also erased the whole historical city to the ground. Today, just a big park cover all the ancient downtown. You can see the pictures, 75 to 90 years ago, in the digital photomuseum to the memory of Königsberg: http://en.kneiphof.ru/history/

The story remains us how fragile and volatile our constructed World is and how perfect the project of Nature is, able to recover with everlasting solid and smart design over our broken dreams.
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