Moving sofa problem (nonfiction)

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The moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of largest area A that can be maneuvered through an L-shaped planar region with legs of unit width. The area A thus obtained is referred to as the sofa constant.

The exact value of the sofa constant is an unsolved problems in mathematics.

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