Moving Sofa Problem
   HOME
*





Moving Sofa Problem
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 referred to as the ''sofa constant''. The exact value of the sofa constant is an open problem. The currently leading solution, by Joseph L. Gerver, has a value of approximately 2.2195 and is thought to be close to the optimal, based upon subsequent study and theoretical bounds. History The first formal publication was by the Austrian-Canadian mathematician Leo Moser in 1966, although there had been many informal mentions before that date. Bounds Work has been done on proving that the sofa constant (A) cannot be below or above certain values (lower bounds and upper bounds). Lower An obvious lower bound is A \geq \pi/2 \approx 1.57. This comes from a sofa that is a half-disk of unit ra ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Romik
Romik is both a surname and a given name. Notable people with the name include: * Stanisław Romik (1926–2016), Polish sports shooter * Romik Khachatryan Romik Khachatryan ( hy, Ռոմիկ Խաչատրյան, born on 23 August 1978 in Yerevan) is an Armenian retired Association football, football player. He was formerly a member of the Armenia national football team, Armenia national team. Club ... (), Armenian footballer See also * Romig {{given name, type=both Polish-language surnames Armenian given names ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Unsolved Problems In Geometry
Unsolved may refer to: * ''Unsolved'' (album), a 2000 album by the American band Karate * ''Unsolved'' (UK TV programme), a 2004–2006 British crime documentary television programme that aired on STV in Scotland * ''Unsolved'' (South Korean TV series), a 2010 South Korean television series * ''Unsolved'' (U.S. TV series), a 2018 American television series *'' Unsolved: The Boy Who Disappeared'', a 2016 online series by BBC Three *''The Unsolved'', a 1997 Japanese video game *''BuzzFeed Unsolved'', a show by BuzzFeed discussing unsolved crimes and haunted places See also *Solved (other) *''Unsolved Mysteries ''Unsolved Mysteries'' is an American mystery documentary television show, created by John Cosgrove and Terry Dunn Meurer. Documenting cold cases and paranormal phenomena, it began as a series of seven specials, presented by Raymond Burr, Ka ...
'', an American true crime television program that debuted in 1987 {{disambiguation ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Discrete Geometry
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles, spheres, polygons, and so forth. The subject focuses on the combinatorial properties of these objects, such as how they intersect one another, or how they may be arranged to cover a larger object. Discrete geometry has a large overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology. History Although polyhedra and tessellations had been studied for many years by people such as Kepler and Cauchy, modern discrete geometry has its origins in the late 19th century. Early topics studie ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Brady Haran
Brady John Haran (born 18 June 1976) is an Australian-British independent filmmaker and video journalist who produces educational videos and documentary films for his YouTube channels, the most notable being ''Periodic Videos'' and ''Numberphile''. Haran is also the co-host of the'' Hello Internet'' podcast along with fellow educational YouTuber CGP Grey. On 22 August 2017, Haran launched his second podcast, called ''The Unmade Podcast'', and on 11 November 2018, he launched his third podcast, '' The Numberphile Podcast'', based on his mathematics-centered channel of the same name. Reporter and filmmaker Brady Haran studied journalism for a year before being hired by ''The Adelaide Advertiser''. In 2002, he moved from Australia to Nottingham, United Kingdom. In Nottingham, he worked for the BBC, began to work with film, and reported for ''East Midlands Today'', BBC News Online and BBC radio stations. In 2007, Haran worked as a filmmaker-in-residence for Nottingham Science ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Friends
''Friends'' is an American television sitcom created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons. With an ensemble cast starring Jennifer Aniston, Courteney Cox, Lisa Kudrow, Matt LeBlanc, Matthew Perry and David Schwimmer, the show revolves around six friends in their 20s and 30s who live in Manhattan, New York City. The series was produced by Bright/Kauffman/Crane Productions, in association with Warner Bros. Television. The original executive producers were Kevin S. Bright, Kauffman, and Crane. Kauffman and Crane began developing ''Friends'' under the working title ''Insomnia Cafe'' between November and December 1993. They presented the idea to Bright, and together they pitched a seven-page treatment of the show to NBC. After several script rewrites and changes, including title changes to ''Six of One'' and ''Friends Like Us'', the series was finally named ''Friends''. Filming took place at Warner ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


The One With The Cop
"The One with the Cop" is the sixteenth episode of the fifth season of ''Friends'' and the 113th overall. It first aired on the NBC network in the United States on February 25, 1999. Plot In the teaser, Chandler and Monica cuddle while cooperating on a crossword puzzle, which Joey finds cute. That night, however, he dreams that he was doing the crossword puzzle with Monica, leading him to wonder if he finds her attractive. This is exacerbated when, at Central Perk the next morning, Monica is found wearing his sweatshirt as opposed to Chandler's, and later when Monica asks him to taste her cooking, leading to him confessing about his dreams. A bit of honest discussion between the three of them reveals that Joey is not really attracted to Monica, but rather to the intimacy and friendship she shares with Chandler. The two explain that this is because they were friends first before they started dating. Equipped with this new philosophy, he first tries to get on Rachel's good side ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Moser's Worm Problem
Moser's worm problem (also known as mother worm's blanket problem) is an unsolved problem in geometry formulated by the Austrian-Canadian mathematician Leo Moser in 1966. The problem asks for the region of smallest area that can accommodate every plane curve of length 1. Here "accommodate" means that the curve may be rotated and translated to fit inside the region. In some variations of the problem, the region is restricted to be convex. Examples For example, a circular disk of radius 1/2 can accommodate any plane curve of length 1 by placing the midpoint of the curve at the center of the disk. Another possible solution has the shape of a rhombus with vertex angles of 60 and 120 degrees (/3 and 2/3 radians) and with a long diagonal of unit length. However, these are not optimal solutions; other shapes are known that solve the problem with smaller areas. Solution properties It is not completely trivial that a solution exists – an alternative possibility would be tha ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Mountain Climbing Problem
In mathematics, the mountain climbing problem is a problem of finding the conditions that two functions forming profiles of a two-dimensional mountain must satisfy, so that two climbers can start on the bottom on the opposite sides of the mountain and coordinate their movements to meet (possibly at the top) while always staying at the same height. This problem was named and posed in this form by , but its history goes back to , who solved a version of it. The problem has been repeatedly rediscovered and solved independently in different contexts by a number of people (see references below). Since the 1990s, the problem was shown to be connected to the weak Fréchet distance of curves in the plane, various planar motion planning problems in computational geometry, the inscribed square problem, semigroup of polynomials, etc. The problem was popularized in the article by , which received the Mathematical Association of America's Lester R. Ford Award in 1990.. Understanding the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Douglas Adams
Douglas Noel Adams (11 March 1952 – 11 May 2001) was an English author and screenwriter, best known for ''The Hitchhiker's Guide to the Galaxy''. Originally a 1978 BBC radio comedy, ''The Hitchhiker's Guide to the Galaxy'' developed into a "trilogy" of five books that sold more than 15 million copies in his lifetime. It was further developed into a television series, several stage plays, comics, a video game, and a 2005 feature film. Adams's contribution to UK radio is commemorated in The Radio Academy's Hall of Fame. Adams also wrote ''Dirk Gently's Holistic Detective Agency'' (1987) and ''The Long Dark Tea-Time of the Soul'' (1988), and co-wrote ''The Meaning of Liff'' (1983), ''The Deeper Meaning of Liff'' (1990), and ''Last Chance to See'' (1990). He wrote two stories for the television series ''Doctor Who'', co-wrote ''City of Death'' (1979), and served as script editor for its seventeenth season. He co-wrote the sketch "Patient Abuse" for the final episode of ' ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Dirk Gently's Holistic Detective Agency
''Dirk Gently's Holistic Detective Agency'' is a humorous detective novel by English writer Douglas Adams, published in 1987. It is described by the author on its cover as a "thumping good detective-ghost-horror-who dunnit-time travel-romantic-musical-comedy-epic". The book was followed by a sequel, ''The Long Dark Tea-Time of the Soul''. The recurring major characters are the eponymous Dirk Gently, his secretary Janice Pearce and Sergeant Gilks. Adams began work on another novel, ''The Salmon of Doubt'', with the intention of publishing it as the third book in the series, but died before completing it. A BBC Radio 4 adaptation of six episodes was broadcast from October 2007. A second series based on the sequel was broadcast from October 2008. A 2010 television adaptation for BBC Four borrowed some of the characters and some minor plot elements of the novel to create a new story, and a 2016 television adaptation for BBC America served as a continuation of the books. Writing ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Advances In Mathematics
''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed at publishing articles addressed to a broader "mathematical community", and not only to mathematicians in the author's field. Herbert Busemann writes, in the preface of the first issue, "The need for expository articles addressing either all mathematicians or only those in somewhat related fields has long been felt, but little has been done outside of the USSR. The serial publication ''Advances in Mathematics'' was created in response to this demand." Abstracting and indexing The journal is abstracted and indexed in:Abstracting and Indexing
*