Can 3 Rings Be Locked Without Ever Touching?

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Can 3 rings be locked together without ever touching or linking in pairs? In knot theory, the Borromean rings are a famous Brunnian link: no two rings are linked together (pairwise linking number Lk = 0), yet all three are collectively inseparable (Milnor triple invariant μ = ±1). Cut any single ring, and the other two instantly fall completely apart.

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