The paper constructs a Gordian pair of links: two configurations that both minimize total ropelength in their link homotopy class, yet no length-preserving thick homotopy connects them.
On the minimum ropelength of knots and links
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A Gordian Pair of Links
The paper constructs a Gordian pair of links: two configurations that both minimize total ropelength in their link homotopy class, yet no length-preserving thick homotopy connects them.