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Question

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Explanation:

🆕 New Concept Discovered: Hopf Link
Two closed loops linked together exactly once

Step 1: Identify the objects and their configuration

The image shows two coiled, elastic ring-shaped bands (one yellow and one green).

By observing how they pass through each other:

  • The yellow loop passes directly through the center opening of the green loop.
  • The green loop passes directly through the center opening of the yellow loop.

Because they are threaded through one another, they cannot be separated without cutting or opening one of the loops.

Step 2: Relate to mathematical knot theory

In mathematics, specifically in the branch of topology known as knot theory, this configuration of two simple closed curves linked together exactly once is called a Hopf link.

It is the simplest non-trivial link consisting of two components.

Answer:

The two loops are linked (specifically forming a Hopf link in topology). They are threaded through each other's centers, meaning they cannot be separated without breaking or opening one of the rings.