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math.GT2025
Ropelength-minimizing concentric helices and non-alternating torus knots
Alexander R. Klotz, Finn Thompson
An alternating torus knot or link may be constructed from a repeating double helix after connecting its two ends. A structure with additional helices may be closed to form a non-al…
cond-mat.soft2025
The space writhes and signatures of polymer knots
Finn Thompson, Maria Maalouf, Alexander R. Klotz
The space writhe of a knot is a property of its three-dimensional embedding that contains information about its underlying topology, but the correspondence between space writhe and…