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Understanding the Borromean Link

Understanding the Borromean Link

Assessment

Interactive Video

Mathematics, Science, Arts

7th - 12th Grade

Practice Problem

Hard

Created by

Amelia Wright

FREE Resource

The video tutorial explores the concept of the Borromean link using three loops: blue, pink, and fingers. Initially, the loops appear unlinked, but through manipulation, they exchange positions, demonstrating their interconnectedness. The Borromean link is unique because removing any loop allows the others to separate, yet all three together remain linked. This concept is illustrated through a meditative process of exchanging loop positions, highlighting the link's properties and the operation that keeps one loop fixed while exchanging the others.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the three components used to demonstrate the Borromean link?

Three separate strings

Three loops of the same color

Two loops and fingers

Two loops and a string

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which loops are initially linked in the demonstration?

None of the loops

Blue and pink

Pink and fingers

Blue and fingers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you pull a part of the loops in the demonstration?

The loops change color

The loops exchange places

The loops break apart

The loops become tangled

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key property of the Borromean link?

All loops are permanently linked

Removing one loop keeps the others linked

Removing one loop allows the others to separate

All loops are the same size

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if the pink loop is removed?

Blue and fingers remain linked

Blue and fingers become unlinked

Blue and fingers change places

Blue and fingers form a new link

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of removing the blue loop?

Pink and fingers become linked

Pink can be removed from fingers

Pink remains on fingers

Pink and fingers exchange places

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation can be performed on the Borromean link?

Changing the color of the loops

Breaking all loops apart

Exchanging two loops while keeping the third fixed

Exchanging all three loops

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