49 citations · 80 across the 17 of their papers we have counts for
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math.DG2026
Elastic BB knots are multifold circles
Philipp Reiter, Heiko von der Mosel
We study elastic knots obtained by minimizing the bending energy of a unit loop together with a small multiple of ropelength. We assume a generalized Fáry-Milnor inequality on the…
math.DG2021
Symmetric elastic knots
Alexandra Gilsbach, Philipp Reiter, Heiko von der Mosel
Minimizing the bending energy within knot classes leads to the concept of elastic knots which has been initiated in [von der Mosel, Asymptot. Anal. 1998]. Motivated by numerical ex…
math.DG2015★ 13 cited
The elastic trefoil is the twice covered circle
Henryk Gerlach, Philipp Reiter, Heiko von der Mosel
We investigate the elastic behavior of knotted loops of springy wire. To this end we minimize the classic bending energy together with a small multiple of…