2 papers
math.MG2020
A convex cover for closed unit curves has area at least 0.1
Bogdan Grechuk, Sittichoke Som-am
We improve a lower bound for the smallest area of convex covers for closed unit curves from 0.0975 to 0.1, which makes it substantially closer to the current best upper bound 0.110…
math.MG2019
A convex cover for closed unit curves has area at least 0.0975
Bogdan Grechuk, Sittichoke Som-Am
We combine geometric methods with numerical box search algorithm to show that the minimal area of a convex set on the plane which can cover every closed plane curve of unit length…