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math.DG2018★ 1 cited
The convex hull of a convex space curve with four vertices
Jakob Bohr, Steen Markvorsen, Matteo Raffaelli
We obtain an upper bound for the volume of the convex hull of a simple closed Frenet curve with exactly four vertices, i.e., four points of vanishing torsion, and lying on the boun…
math.DG2017★ 5 cited
Cartan ribbonization and a topological inspection
Matteo Raffaelli, Jakob Bohr, Steen Markvorsen
We develop the concept of Cartan ribbons together with a rolling-based method to ribbonize and approximate any given surface in space by intrinsically flat ribbons. The rolling req…