Seven Bridges of Königsberg T-shirt

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The Seven Bridges of Königsberg is a famous problem in mathematics. Its negative resolution by Euler (way back in 1735) laid the foundations of graph theory.

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2 Comments

I briefly mentioned this problem in my thesis so created the vector graphic of the bridges in the picture above. Not sure if it makes a good t-shirt or not. Perhaps only on the days where you have to teach this problem to students ;-)

For a bit more information about the bridge problem:

Briefly, the problem is to find a walk through the city of Konigsberg that would cross each bridge exactly once. Euler showed that the problem has no solution. He noted that if every bridge is traversed exactly once then the number of bridges touching each land mass must be even (except possibly for the land masses chosen for the start and finish). By noting that all four land masses in the figure are touched by an odd number of bridges and since at most two land masses can serve as the endpoints of a walk, the existence of a walk traversing each bridge exactly once leads to a contradiction. Euler's solution of the Seven Bridges of Konigsberg problem laid the foundations of graph theory and led to the concept of Eulerian graphs.

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Hello and welcome to Math Shirts! At this store, you will find a huge collection of geeky and funny math t-shirts. Should you have a design or product request you may contact me using:
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