The Seven Bridges of Konigsberg

The Seven Bridges of Konigsberg

Assessment

Interactive Video

Science, Physics

6th - 12th Grade

Hard

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The video discusses the Seven Bridges of Königsberg problem, a famous mathematical puzzle about crossing each bridge in the city only once. Leonhard Euler solved it in 1735 by proving it impossible, laying the foundation for graph theory. Euler represented land areas as vertices and bridges as arcs, showing that a path crossing each bridge once couldn't exist due to the odd number of arcs at each vertex. This work introduced Eulerian paths, influencing fields like electrical engineering and computer science.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What was the original name of the city known for the Seven Bridges problem?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What was the main mathematical problem associated with the city of Kunigsburg?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Who solved the problem of the Seven Bridges of Kunigsburg and in what year?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What did Euler use to represent the land areas and bridges in his solution?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion did Euler reach regarding Eulerian paths in the context of Kunigsburg?

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