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math.GT2004
Ribbonlength of torus knots
Brooke Brennan, Thomas W. Mattman, Roberto Raya +1
Using Kauffman's model of flat knotted ribbons, we demonstrate how all regular polygons of at least seven sides can be realised by ribbon constructions of torus knots. We calculate…
math.GT2004
Bounds on the Crosscap Number of Torus Knots
Thomas W. Mattman, Owen Sizemore
For a torus knot K, we bound the crosscap number c(K) in terms of the genus g(K) and crossing number n(K): c(K) \leq [(g(K)+9)/6] and c(K) \leq [(n(K) + 16)/12]. The (6n-2,3) torus…