Binary, Hanoi, and Sierpinski - Part 2 of 2

Binary, Hanoi, and Sierpinski - Part 2 of 2

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video explores a constrained variant of the Towers of Hanoi puzzle, where disks can only move to adjacent spindles. The solution involves recursive problem-solving and counting in ternary, mirroring the Sierpinski triangle's structure. The video also discusses the graph representation of configurations and demonstrates a path through the Sierpinski graph using ternary counting.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the term 'trit' refer to in the context of ternary counting?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the movements of disks and the edges in the graph of Towers of Hanoi?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the graph structure of Towers of Hanoi configurations resemble a Sierpinski triangle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of being able to traverse all configurations of the Towers of Hanoi without repetition.

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