1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.GT2003
Total Curvature and Packing of Knots
Gregory Buck, Jonathan Simon
We establish a new fundamental relationship between total curvature of knots and crossing number. If K is a smooth knot in 3-space, R the cross-section radius of a uniform tube nei…
math.GT2003★ 1 cited
Polygonal approximation and energy of smooth knots
Eric J. Rawdon, Jonathan K. Simon
We establish a fundamental connection between smooth and polygonal knot energies, showing that the Minimum Distance Energy for polygons inscribed in a smooth knot converges to the…
math.GT2001
Moebius energy of thick knots
Eric J. Rawdon, Jonathan Simon
The Moebius energy of a knot is an energy functional for smooth curves based on an idea of self-repelling. If a knot has a thick tubular neighborhood, we would intuitively expect t…