Date of Submission
Spring 2016
Academic Programs and Concentrations
Mathematics
Project Advisor 1
James Belk
Abstract/Artist's Statement
The moving sofa problem is a two-dimensional idealisation of real-life furniture moving problems, and its goal is to find the biggest area that can be maneuvered around a L-shape hallway with unit width. In this project we will learn about Hammersly’s sofa ,Gerver’s sofa and adapt Hammersly’s sofa to non-right angle hallways. We will also use calculus of variations to maximize the area and find out Gerver’s sofa satisfied several conditions that the best sofa satisfies.
Access Agreement
Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Song, Ningning, "A Variational Approach to the Moving Sofa Problem" (2016). Senior Projects Spring 2016. 374.
https://digitalcommons.bard.edu/senproj_s2016/374
This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.