2 papers
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…
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 .