Sudoku Puzzle (automorphic With Translational Symmetry)
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Sudoku Puzzle (automorphic With Translational Symmetry)
Sudoku (; ja, 数独, sūdoku, digit-single; originally called Number Place) is a logic-based, combinatorial number-placement puzzle. In classic Sudoku, the objective is to fill a 9 × 9 grid with digits so that each column, each row, and each of the nine 3 × 3 subgrids that compose the grid (also called "boxes", "blocks", or "regions") contain all of the digits from 1 to 9. The puzzle setter provides a partially completed grid, which for a well-posed puzzle has a single solution. French newspapers featured variations of the Sudoku puzzles in the 19th century, and the puzzle has appeared since 1979 in puzzle books under the name Number Place. However, the modern Sudoku only began to gain widespread popularity in 1986 when it was published by the Japanese puzzle company Nikoli under the name Sudoku, meaning "single number". It first appeared in a U.S. newspaper, and then ''The Times'' (London), in 2004, thanks to the efforts of Wayne Gould, who devised a co ...
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Time (magazine)
''Time'' (stylized in all caps) is an American news magazine based in New York City. For nearly a century, it was published weekly, but starting in March 2020 it transitioned to every other week. It was first published in New York City on March 3, 1923, and for many years it was run by its influential co-founder, Henry Luce. A European edition (''Time Europe'', formerly known as ''Time Atlantic'') is published in London and also covers the Middle East, Africa, and, since 2003, Latin America. An Asian edition (''Time Asia'') is based in Hong Kong. The South Pacific edition, which covers Australia, New Zealand, and the Pacific Islands, is based in Sydney. Since 2018, ''Time'' has been published by Time USA, LLC, owned by Marc Benioff, who acquired it from Meredith Corporation. History ''Time'' has been based in New York City since its first issue published on March 3, 1923, by Briton Hadden and Henry Luce. It was the first weekly news magazine in the United States. The two had ...
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Howard Garns
Howard Garns (March 2, 1905 – October 6, 1989) was an American architect who gained fame only after his death as the creator of Number Place, the number puzzle that became a worldwide phenomenon under the name Sudoku.Zivan, David, ''Indianapolis Monthly'', March 2006, pp74-80 Invention of Number Place Garns's colleagues at the Daggett architecture firm in Indianapolis recall the designer working on the game on one of the company's drawing boards. George Wiley, a draftsman for the firm between 1957 and 1967, told ''Indianapolis Monthly'': "We had two extra drawing boards and one day Howard was sitting over there. I walked over and asked what he was working on and he said, 'Oh, a game'. It looked like a crossword puzzle but it had numbers. It had little squares. I walked around on his side and he covered it up. It was a secret." Robert Hindman, another draftsman at the firm, corroborated the story. "I saw sketches and I thought it was a crossword puzzle, but I wasn't really int ...
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Teletext
A British Ceefax football index page from October 2009, showing the three-digit page numbers for a variety of football news stories Teletext, or broadcast teletext, is a standard for displaying text and rudimentary graphics on suitably equipped television sets. Teletext sends data in the broadcast signal, hidden in the invisible vertical blanking interval area at the top and bottom of the screen. The teletext decoder in the television buffers this information as a series of "pages", each given a number. The user can display chosen pages using their remote control. In broad terms, it can be considered as Videotex, a system for the delivery of information to a user in a computer-like format, typically displayed on a television or a dumb terminal, but that designation is usually reserved for systems that provide bi-directional communication, such as Prestel or Minitel. Teletext was created in the United Kingdom in the early 1970s by John Adams, Philips' lead designer for vide ...
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Channel 4
Channel 4 is a British free-to-air public broadcast television network operated by the state-owned Channel Four Television Corporation. It began its transmission on 2 November 1982 and was established to provide a fourth television service in the United Kingdom. At the time, the only other channels were the licence-funded BBC One and BBC Two, and a single commercial broadcasting network ITV. The network's headquarters are based in London and Leeds, with creative hubs in Glasgow and Bristol. It is publicly owned and advertising-funded; originally a subsidiary of the Independent Broadcasting Authority (IBA), the station is now owned and operated by Channel Four Television Corporation, a public corporation of the Department for Digital, Culture, Media and Sport, which was established in 1990 and came into operation in 1993. Until 2010, Channel 4 did not broadcast in Wales, but many of its programmes were re-broadcast there by the Welsh fourth channel S4C. In 2010, Cha ...
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The Wall Street Journal
''The Wall Street Journal'' is an American business-focused, international daily newspaper based in New York City, with international editions also available in Chinese and Japanese. The ''Journal'', along with its Asian editions, is published six days a week by Dow Jones & Company, a division of News Corp. The newspaper is published in the broadsheet format and online. The ''Journal'' has been printed continuously since its inception on July 8, 1889, by Charles Dow, Edward Jones, and Charles Bergstresser. The ''Journal'' is regarded as a newspaper of record, particularly in terms of business and financial news. The newspaper has won 38 Pulitzer Prizes, the most recent in 2019. ''The Wall Street Journal'' is one of the largest newspapers in the United States by circulation, with a circulation of about 2.834million copies (including nearly 1,829,000 digital sales) compared with ''USA Today''s 1.7million. The ''Journal'' publishes the luxury news and lifestyle magazine ' ...
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London Underground
The London Underground (also known simply as the Underground or by its nickname the Tube) is a rapid transit system serving Greater London and some parts of the adjacent counties of Buckinghamshire, Essex and Hertfordshire in England. The Underground has its origins in the Metropolitan Railway, the world's first underground passenger railway. Opened on 10 January 1863, it is now part of the Circle, District, Hammersmith & City and Metropolitan lines. The first line to operate underground electric traction trains, the City & South London Railway in 1890, is now part of the Northern line. The network has expanded to 11 lines, and in 2020/21 was used for 296 million passenger journeys, making it one of the world's busiest metro systems. The 11 lines collectively handle up to 5 million passenger journeys a day and serve 272 stations. The system's first tunnels were built just below the ground, using the cut-and-cover method; later, smaller, roughly circular tu ...
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Brentford
Brentford is a suburban town in West London, England and part of the London Borough of Hounslow. It lies at the confluence of the River Brent and the Thames, west of Charing Cross. Its economy has diverse company headquarters buildings which mark the start of the M4 corridor; in transport it also has two railway stations and Boston Manor Underground station on its north-west border with Hanwell. Brentford has a convenience shopping and dining venue grid of streets at its centre. Brentford at the start of the 21st century attracted regeneration of its little-used warehouse premises and docks including the re-modelling of the waterfront to provide more economically active shops, townhouses and apartments, some of which comprises Brentford Dock. A 19th and 20th centuries mixed social and private housing locality: New Brentford is contiguous with the Osterley neighbourhood of Isleworth and Syon Park and the Great West Road which has most of the largest business premises. ...
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Crossword
A crossword is a word puzzle that usually takes the form of a square or a rectangular grid of white- and black-shaded squares. The goal is to fill the white squares with letters, forming words or phrases, by solving clues which lead to the answers. In languages that are written left-to-right, the answer words and phrases are placed in the grid from left to right ("across") and from top to bottom ("down"). The shaded squares are used to separate the words or phrases. Types Crossword grids such as those appearing in most North American newspapers and magazines feature solid areas of white squares. Every letter is checked (i.e. is part of both an "across" word and a "down" word) and usually each answer must contain at least three letters. In such puzzles shaded squares are typically limited to about one-sixth of the total. Crossword grids elsewhere, such as in Britain, South Africa, India and Australia, have a lattice-like structure, with a higher percentage of shaded squar ...
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Asahi Shimbun
is one of the four largest newspapers in Japan. Founded in 1879, it is also one of the oldest newspapers in Japan and Asia, and is considered a newspaper of record for Japan. Its circulation, which was 4.57 million for its morning edition and 1.33 million for its evening edition as of July 2021, was second behind that of the ''Yomiuri Shimbun''. By print circulation, it is the third largest newspaper in the world behind the ''Yomiuri'', though its digital size trails that of many global newspapers including '' The New York Times''. Its publisher, is a media conglomerate with its registered headquarters in Osaka. It is a privately held family business with ownership and control remaining with the founding Murayama and Ueno families. According to the Reuters Institute Digital Report 2018, public trust in the ''Asahi Shimbun'' is the lowest among Japan's major dailies, though confidence is declining in all the major newspapers. The ''Asahi Shimbun'' is one of the five l ...
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Rotational Symmetry
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. Certain geometric objects are partially symmetrical when rotated at certain angles such as squares rotated 90°, however the only geometric objects that are fully rotationally symmetric at any angle are spheres, circles and other spheroids. Formal treatment Formally the rotational symmetry is symmetry with respect to some or all rotations in ''m''-dimensional Euclidean space. Rotations are direct isometries, i.e., isometries preserving orientation. Therefore, a symmetry group of rotational symmetry is a subgroup of ''E''+(''m'') (see Euclidean group). Symmetry with respect to all rotations about all points implies translational symmetry with respect to all translations, so space is ...
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Kanji
are the logographic Chinese characters taken from the Chinese family of scripts, Chinese script and used in the writing of Japanese language, Japanese. They were made a major part of the Japanese writing system during the time of Old Japanese and are still used, along with the subsequently-derived syllabic scripts of ''hiragana'' and ''katakana''. The characters have Japanese pronunciation, pronunciations; most have two, with one based on the Chinese sound. A few characters were invented in Japan by constructing character components derived from other Chinese characters. After World War II, Japan made its own efforts to simplify the characters, now known as shinjitai, by a process similar to China's simplified Chinese characters, simplification efforts, with the intention to increase literacy among the common folk. Since the 1920s, the Japanese government has published character lists periodically to help direct the education of its citizenry through the myriad Chinese characte ...
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Maki Kaji
was a Japanese businessman who was the president of Nikoli, a puzzle manufacturer. He is widely known as "the father of Sudoku" for his role in popularizing the number game. Early life Kaji was born in Sapporo on 8 October 1951. His father worked as an engineer at a telecom company; his mother was employed by a kimono shop. Kaji attended Shakujii High School in his hometown. He later studied literature at Keio University, but dropped out during his first year. After a succession of jobs including being a roadie, a waiter and a construction worker, he started a publishing business. Career Kaji launched a quarterly puzzle magazine in 1980 called ''Nikoli'', together with two friends from his childhood. They named the magazine after a race horse that had won the 1980 2000 Guineas Stakes race in Ireland. Three years later, he founded a company under the same name. The magazine, the company's main product, grew to have 50,000 quarterly readers. The number game Sudoku ap ...
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