Building an Infinite Bridge

Building an Infinite Bridge

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video explores a mathematical paradox where a bridge can be built to extend infinitely using blocks. It explains the step-by-step process of balancing blocks to maximize the bridge's length, supported by mathematical proofs involving the harmonic series. The video also discusses the limitations of physical construction and introduces a faster method using a parabolic stack. Additionally, it addresses comments on Shor's algorithm and quantum computing, emphasizing the potential for new cryptographic methods.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the classic paradox in math discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you balance the first block off the edge of the table?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the center of mass when you add a second block?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the variable 'x' representing in the context of the blocks?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the distance the bridge extends change as more blocks are added?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of using infinitely many blocks in bridge building.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the harmonic series in relation to the bridge?

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