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Academic Programs and Concentrations
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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.
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Song, Ningning, "A Variational Approach to the Moving Sofa Problem" (2016). Senior Projects Spring 2016. 374.