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Would it be appropriate to link to Dan Romik's Numberphile video where he explains the old Hammersley sofa, Gerver's sofa and his own ambidextrous sofa?
Is it proven that the greatest sofa possessing the described properties exists? Suppose one proves that no such sofa has an area bigger than A and on the other hand one finds a sequence of sofa's with increasing area where the areas converge to A. Then it is proven that no largest sofa of this type exists. — Preceding unsigned comment added by 62.235.146.47 ( talk) 11:39, 13 August 2012 (UTC)
In this link http://www.math.ucdavis.edu/~suh/gerver-moving_sofa.pdf , the author mentions that the existence of the sofa has indeed been proven. Being no specialist, I'll leave further research on this issue to someone else. (Notice however that uniqueness of the sofa seems to be an open problem too) — Preceding unsigned comment added by 193.190.253.144 ( talk) 11:15, 21 August 2012 (UTC)
it's necessary to insert a reference to Dirk Gently !
I added a reasonable interpretation of your nice page in Russian. http://ru.wikipedia.org/wiki/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B0_%D0%BE_%D0%BF%D0%B5%D1%80%D0%B5%D0%BC%D0%B5%D1%89%D0%B5%D0%BD%D0%B8%D0%B8_%D0%B4%D0%B8%D0%B2%D0%B0%D0%BD%D0%B0
Also, I may suggest the (rather trivial) upper limit of the 'sofa constant' by 2√2 (2.828427124...) to be included. —The preceding unsigned comment was added by 63.196.132.64 ( talk) 22:52, August 23, 2007 (UTC)
Users PrimeHunter, 146.151.84.226, and David Eppstein disagree on the meanings of Upper and Lower bounds. I am rewording the section to say that the upper bound is that of the shape that has the largest area that can still fit through the corner, as seems to be the consensus other than user 146.151.84.226. ETSkinner ( talk) 13:59, 15 March 2016 (UTC)
Judging from a peek at Guy's book, even the restriction to convex sofas is an unsolved problem; I find this surprising. If true, then it might be worth mentioning this variant of the problem, along with known bounds. Joule36e5 ( talk) 21:59, 21 August 2008 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
Would it be appropriate to link to Dan Romik's Numberphile video where he explains the old Hammersley sofa, Gerver's sofa and his own ambidextrous sofa?
Is it proven that the greatest sofa possessing the described properties exists? Suppose one proves that no such sofa has an area bigger than A and on the other hand one finds a sequence of sofa's with increasing area where the areas converge to A. Then it is proven that no largest sofa of this type exists. — Preceding unsigned comment added by 62.235.146.47 ( talk) 11:39, 13 August 2012 (UTC)
In this link http://www.math.ucdavis.edu/~suh/gerver-moving_sofa.pdf , the author mentions that the existence of the sofa has indeed been proven. Being no specialist, I'll leave further research on this issue to someone else. (Notice however that uniqueness of the sofa seems to be an open problem too) — Preceding unsigned comment added by 193.190.253.144 ( talk) 11:15, 21 August 2012 (UTC)
it's necessary to insert a reference to Dirk Gently !
I added a reasonable interpretation of your nice page in Russian. http://ru.wikipedia.org/wiki/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B0_%D0%BE_%D0%BF%D0%B5%D1%80%D0%B5%D0%BC%D0%B5%D1%89%D0%B5%D0%BD%D0%B8%D0%B8_%D0%B4%D0%B8%D0%B2%D0%B0%D0%BD%D0%B0
Also, I may suggest the (rather trivial) upper limit of the 'sofa constant' by 2√2 (2.828427124...) to be included. —The preceding unsigned comment was added by 63.196.132.64 ( talk) 22:52, August 23, 2007 (UTC)
Users PrimeHunter, 146.151.84.226, and David Eppstein disagree on the meanings of Upper and Lower bounds. I am rewording the section to say that the upper bound is that of the shape that has the largest area that can still fit through the corner, as seems to be the consensus other than user 146.151.84.226. ETSkinner ( talk) 13:59, 15 March 2016 (UTC)
Judging from a peek at Guy's book, even the restriction to convex sofas is an unsolved problem; I find this surprising. If true, then it might be worth mentioning this variant of the problem, along with known bounds. Joule36e5 ( talk) 21:59, 21 August 2008 (UTC)