Knots of Constant Curvature

Details Knots of Constant Curvature Knots of Constant Curvature

2004-03-04

arxiv.org/abs/math/0403089v1

Mathematics

Geometric Topology

Scientific paper

In this paper we show how to realize all knot (and link) types as C^{2}
smooth curves of constant curvature. Our proof is constructive: we build the
knots with copies of a fixed finite number of "building blocks" that are
particular segments of helices and circles. We use these building blocks to
construct all closed braids.

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