In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealisation of real-life furniture-moving problems and asks for the rigid two-dimensional shape of largest area that can be maneuvered through an L-shaped planar region with legs of unit width. The area thus obtained is … See more The first formal publication was by the Austrian-Canadian mathematician Leo Moser in 1966, although there had been many informal mentions before that date. See more A variant of the sofa problem asks the shape of largest area that can go round both left and right 90 degree corners in a corridor of unit width (where the left and right corners are … See more • Romik, Dan (March 23, 2024). "The Moving Sofa Problem" (video). YouTube. Brady Haran. Archived from the original on 2024-12-21. Retrieved 24 March 2024. • SofaBounds - Program to calculate bounds on the sofa moving problem. See more • Dirk Gently's Holistic Detective Agency – novel by Douglas Adams, a subplot of which revolves around such a problem. • Mountain climbing problem • Moser's worm problem See more WebMar 24, 2024 · Gerver (1992) found a sofa with larger area and provided arguments indicating that it is either optimal or close to it. The boundary of Gerver's sofa is a complicated shape composed of 18 arcs. Its area can …
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WebJun 12, 2024 · The moving sofa problem has several other variants. One of them, studied by John Horton Conway and others, asks for the largest area sofa that can be moved around a 90-degree turn both to the right and to … WebDec 9, 2024 · After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution. Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now. … goldie hawn pics 2022
Improved upper bounds in the moving sofa problem - UC …
WebJun 27, 2016 · The moving sofa problem, posed by L. Moser in 1966, asks for the planar shape of maximal area that can move around a right-angled corner in a hallway of unit width, and is conjectured to have as its solution a complicated shape derived by Gerver in 1992. We extend Gerver's techniques by deriving a family of six differential equations … WebMay 16, 2016 · I believe that many of you know about the moving sofa problem; if not you can find the description of the problem here. In this question I am going to rotate the L shaped hall instead of moving a sofa … WebFeaturing Dan Romik from UC Davis.More footage from this interview soon on Numberphile2.Dan's comprehensive page on this topic: http://bit.ly/movingsofaNumbe... goldie hawn princess costume