The moving sofa problem — Dan Romik's home page
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The moving sofa math problem: still unsolved 50 years later
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The Moving Sofa Problem is a mathematical puzzle that was first proposed by Italian mathematician, Marco Fontana, in 1987. The problem asks the following question: What is the largest area of a two-dimensional shape that can be moved through a doorway of a given width? The solution to this problem has been a subject of much mathematical investigation and has inspired many variations and extensions. The solution to the original problem remains an open problem, but a number of close approximations
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