2 papers
math.MG2024
Optimality of Gerver's Sofa
Jineon Baek
We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area .
math.MG2024
A Conditional Upper Bound for the Moving Sofa Problem
Jineon Baek
The moving sofa problem asks for the connected shape with the largest area that can move around the right-angled corner of a hallway with unit width. The best…