2 papers
math.DG2022
Shortest closed curve to contain a sphere in its convex hull
Mohammad Ghomi, James Wenk
We show that in Euclidean 3-space any closed curve which contains the unit sphere within its convex hull has length , and characterize the case of equality. This resul…
math.DG2020
Shortest closed curve to inspect a sphere
Mohammad Ghomi, James Wenk
We show that in Euclidean 3-space any closed curve which lies outside the unit sphere and contains the sphere within its convex hull has length at least . Equality holds only w…