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math.CO2024
Properties of regular Tangles
Rebecca M. Bowen, Sadie Pruitt, Douglas A. Torrance
A Tangle is a smooth simple closed curve formed from arcs (or ``links'') of circles with fixed radius. Most previous study of Tangles has dealt with the case where these arcs are q…
math.CO2019
Enumeration of planar Tangles
Douglas A. Torrance
A planar Tangle is a smooth simple closed curve piecewise defined by quadrants of circles with constant curvature. We can enumerate Tangles by counting their dual graphs, which con…