hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Orbifold notation
In geometry, orbifold notation (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.  The advantage of the notation is that it describes these groups in a way which indicates many of the groups' properties: in particular, it follows William Thurston in describing the orbifold obtained by taking the quotient of Euclidean space by the group under consideration.

Groups representable in this notation include the point groups on the sphere (), the frieze groups and wallpaper groups of the Euclidean plane (), and their analogues on the hyperbolic plane ().

Digon
In geometry, a bigon, digon, or a 2-gon, is a polygon with two sides (edges) and two vertices. Its construction is degenerate in a Euclidean plane because either the two sides would coincide or one or both would have to be curved; however, it can be easily visualised in elliptic space. It may also be viewed as a representation of a graph with two vertices, see "Generalized polygon".

A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune.

The digon is the simplest abstract polytope of rank 2.

A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a monogon, {1}.
Darende
Darende (Turkish: Darende [daɾændæ] ⓘ) is a municipality and district of Malatya Province, Turkey. Its area is 1,482 km2, and its population is 24,588 (2022). It lies 74 kilometres (46 mi) to the northwest of Malatya, 140 kilometres (87 mi) south of Sivas, 180 kilometres (110 mi) east of Kayseri.

Divriği
Divriği (Kurdish: Dîvrîgî; Armenian: Տեւրիկ, romanized: Tevrik) is a town of eleven thousand people in Sivas Province, Turkey, and is the district capital of Divriği District. The town lies on a gentle slope on the south bank of the Çaltısuyu river, a tributary of the Karasu river which flows into the Euphrates.

The 13th century Great Mosque and Hospital of Divriği are on UNESCO's World Heritage List by virtue of the exquisite carvings and architecture of both buildings. There are large iron mines nearby and the town is on the Turkish rail network.
Tappara
Tappara (pronounced [ˈtɑpːɑrɑ]; Finnish for "Battle axe") is a Finnish professional ice hockey team playing in the SM-liiga. They play at Nokia Arena in Tampere, Finland. The team has won 20 Finnish league championships, which makes them the most successful club in Finland. The team continued the traditions of the Tammerfors Bollklub.

KooKoo (ice hockey)
KooKoo is a Finnish ice hockey team playing in the first level of Finnish ice hockey league Liiga. KooKoo plays in the Lumon arena (capacity 5,950), in Kouvola.  The team was established in 1965 and the previous name of the club is Kouvolan Kiekko-65.
FK Borac Čačak
Fudbalski klub Borac 1926 (Serbian Cyrillic: Фудбалски клуб Борац 1926), commonly known as Borac Čačak, is a professional football club based in Čačak, Serbia. The home ground is Čačak Stadium, which has seating capacity of 8,000. As of 2024–25 season, the club competes in second tier Serbian First League.

The word Borac in translation means fighter in English. Mainly because of the horizontal stripes, Borac's nickname is "Zebras".

2013–14 Serbian First League
The Serbian First  League (Serbian: Prva liga Srbije) is the second-highest football league in Serbia. The league is operated by the Serbian FA. Sixteen teams competed in this league for the 2013–14 season. Two teams were promoted to the Serbian Superliga while the 3rd placed team played in the play-offs against the 14th team in the Super liga for the first time. Four teams were relegated to the Serbian League, the third-highest division overall in the Serbian football league system. The season began in August 2013 and ended in June 2014.
Len Goodman
Leonard Gordon Goodman (25 April 1944 – 22 April 2023) was an English professional ballroom dancer, dance teacher, and dance competition adjudicator. He appeared as head judge on the British television programme Strictly Come Dancing – in which various celebrities compete for the glitterball trophy – from its beginning in 2004 until 2016, and on the American television programme Dancing with the Stars from 2005 until 2022. He also ran a ballroom dance school in Dartford, Kent.

Maksim Chmerkovskiy
Maksim Aleksandrovich Chmerkovskiy (born January 17, 1980) is a Ukrainian-American Latin–ballroom dance champion, choreographer, and instructor. He is widely known as one of the professional dancers on the American television series Dancing with the Stars, on which he first appeared in season two. In his 17 seasons as a competing pro on the show, Chmerkovskiy made it to the final round five times, with two runner-up and two third-place finishes. On May 20, 2014, Chmerkovskiy, paired with Olympic ice dancer Meryl Davis, won his first Dancing with the Stars title. Chmerkovskiy has also starred in the Broadway productions of dance shows Burn the Floor and Forever Tango.
Emmet County, Michigan
Emmet County is a county located in the U.S. state of Michigan. As of the 2020 census, the population was 34,112, making it the second-most populous county in Northern Michigan (behind Grand Traverse County). The county seat is Petoskey, which is also the county's largest city.

Emmet County is located at the top of the Lower Peninsula of Michigan, bounded on the west by Lake Michigan and on the north by the Straits of Mackinac. Its rural areas are habitat for several endangered species. Long a center of occupation by the Odawa people, today the county is the base for the federally recognized Little Traverse Bay Bands of Odawa Indians.

Crawford County, Michigan
Crawford County is a county in the U.S. state of Michigan. Its population was 12,988 as of the 2020 census. The county seat of Crawford County is Grayling, the county's only incorporated community.

Crawford County is located in the Northern Lower Peninsula of Michigan. It contains land within three of Michigan's largest watersheds, belonging to the Au Sable, Manistee, and Muskegon rivers and 75% of the county is publicly owned by the Department of Military Affairs, the United States Forest Service or the State of Michigan.
Tank controls
Tank controls are a control system used in video games whereby players control movement relative to the position of the player character, rather than the perspective of the game camera. They have become less common over time and free-roaming cameras have become standard for 3D games.

Third-person (video games)
In video games, third-person (also spelled third person) is a graphical perspective rendered from a fixed distance behind and slightly above the player character. This viewpoint allows players to see a more strongly characterized avatar and is most common in action games and action adventure games. Games with this perspective often make use of positional audio, where the volume of ambient sounds varies depending on the position of the avatar.
Beverly Crusher
Dr. Beverly Crusher is a fictional character in the Star Trek franchise, played by Gates McFadden. Debuting in the television series Star Trek: The Next Generation, McFadden appeared in every season, except for the second, as well as its spin-off feature films: Star Trek Generations, Star Trek: First Contact, Star Trek: Insurrection, and Star Trek: Nemesis.  McFadden returned to the role in the third season of Star Trek: Picard. She also had cameo appearances in Star Trek: Prodigy, both as a holographic recreation and the real Crusher.

Crusher was the chief medical officer of the Enterprise-D and Enterprise-E, two starships in the Star Trek universe.

Borg
The Borg are an alien group that appear as recurring antagonists in the Star Trek fictional universe. They are cybernetic organisms (cyborgs) linked in a hive mind called "The Collective". The Borg co-opted the technology and knowledge of other alien species to the Collective through the process of "assimilation": forcibly transforming individual beings into "drones" by injecting nanoprobes into their bodies and surgically augmenting them with cybernetic components. The Borg's ultimate goal is "achieving perfection".

Aside from being recurring antagonists in the Next Generation television series, they are depicted as the main threat in the film Star Trek: First Contact. In addition, they played major roles in the Voyager and Picard series.

The Borg have become a symbol in popular culture for any juggernaut against which "resistance is futile" – a common phrase uttered by the Borg.
STS-62
STS-62 was a Space Shuttle program mission flown aboard Space Shuttle Columbia. The primary payloads were the USMP-02 microgravity experiments package and the OAST-2 engineering and technology payload, both in the orbiter's cargo bay. The two-week mission also featured a number of biomedical experiments focusing on the effects of long duration spaceflight. The landing was chronicled by the 1994 Discovery Channel special about the Space Shuttle program and served as the show's opening. A C.F. Martin backpacker guitar was also flown aboard Columbia during the mission.

STS-77
STS-77 was the 77th Space Shuttle mission and the 11th mission of the Space Shuttle Endeavour. The mission began from launch pad 39B from Kennedy Space Center, Florida on 19 May 1996 lasting 10 days and 40 minutes and completing 161 revolutions before landing on runway 33.  The defense and aerospace technology company L'Garde was responsible for the design and manufacture of the Antenna in the Inflatable Antenna Experiment, a key component of the STS-77 mission.
Yacht
A yacht (/jɒt/) is a sail- or motor-propelled watercraft made for pleasure, cruising, or racing. There is no standard definition, though the term generally applies to vessels with a cabin intended for overnight use.

The Commercial Yacht Code classifies yachts 79 ft (24 m) and over as large. Such yachts typically require a hired crew and have higher construction standards. Further classifications for large yachts are commercial: carrying no more than 12 passengers; private: solely for the pleasure of the owner and guests, or by flag, the country under which it is registered. A superyacht (sometimes megayacht) generally refers to any yacht (sail or power) longer than 131 ft (40 m).

Racing yachts are designed to emphasize performance over comfort. Charter yachts are run as a business for profit. As of 2020, there were more than 15,000 yachts of sufficient size to require a professional crew.

Bermuda rig
Bermuda rig, Bermudian rig, or Marconi rig is a type of sailing rig that uses a triangular sail set abaft (behind) the mast. It is the typical configuration for most modern sailboats.: 52  Whilst commonly seen in sloop-rigged vessels, Bermuda rig is used in a range of configurations, for instance, a cutter or a schooner (where it may be used in conjunction with gaff rigged sails on other masts), and several other types.

Bermuda rig takes its name from Bermuda, where it was developed in the 17th century. The term Marconi, a reference to the inventor of the radio, Guglielmo Marconi, became associated with this configuration in the early 20th century, because the wires that stabilize the mast of a Bermuda rig reminded observers of the wires on early radio masts.
2009 Cleveland Browns season
The 2009 Cleveland Browns season was the team's 61st season as a professional sports franchise and its 57th season as a member of the National Football League (NFL). The team placed fourth in the AFC North with a record of 5–11, improving upon its 2008 record of 4–12, after winning their last four games of the season after a 1–11 start. This season marked George Kokinis and Eric Mangini's first seasons as the team's general manager and head coach, respectively; however, Kokinis was fired on November 2 during the team's Week 9 bye week. The Browns played all of their home games at Cleveland Browns Stadium in Cleveland, Ohio.

The Browns missed the playoffs for the seventh straight season, tying a record set between 1973–79.

2009 Detroit Lions season
The 2009 Detroit Lions season was the franchise's 80th season overall in the National Football League (NFL). It was the first season with the Lions for new head coach Jim Schwartz, and most of his new coaching staff. The Lions also introduced slightly new uniforms and logos. The Lions improved upon their 0–16 record from the previous season. However, they missed the playoffs for the 10th straight season, which meant the Lions were one of two franchises, not including the Houston Texans (an expansion team that began play in 2002), to not qualify for the playoffs in the 2000s, with the other team being the Buffalo Bills.

This season combined with the Lions' 0–16 record the previous year was the worst two season record (2–30) since the merger until the Cleveland Browns had a 1–15 record in 2016, followed by an 0–16 record in 2017 (1–31).
Hangzhou
Hangzhou is the capital city and most populous city of Zhejiang province, China, situated at the intersection of the southern terminus of the Grand Canal and the head of Hangzhou Bay.: 86  Renowned as one of the Eight Ancient Capitals of China, Hangzhou is celebrated for its cultural heritage and its West Lake, a UNESCO World Heritage site.

Established as a county seat in 221 BC, Hangzhou later served as the capital of the Wuyue Kingdom (923–997) and the Southern Song dynasty (1138–1276). The city has three UNESCO World Heritage Sites, which are the West Lake Cultural Landscape, the Grand Canal, and the Archaeological Ruins of Liangzhu City.

Hangzhou is designated as a sub-provincial city. Hangzhou ranked ninth in GDP among mainland Chinese cities and 14th according to the Global Innovation Index. The city hosts the headquarters of Alibaba Group, Ant Group, DeepSeek, Geely, and NetEase. According to the Nature Index, it ranks 10th globally in scientific research output.

Qin Hui
Qin Hui or Qin Kuai (January 17, 1091 – November 18, 1155),  was a Song dynasty Chinese politician and grand chancellor during the reign of Emperor Gaozong.

Qin Hui was a contemporary of Yue Fei, a national hero and general who fought for the Song against the Jin dynasty during the Jin–Song Wars, and whom he considered a political enemy. Modern Chinese historians consider Qin to be a traitor for his part in the persecution and execution of Yue.

He was also nicknamed "Long-legged Qin" (Chinese: 秦長腿).
Kenneth Anderson (British Army officer)
General Sir Kenneth Arthur Noel Anderson, KCB, MC (25 December 1891 – 29 April 1959) was a senior British Army officer who saw service in both world wars. He is mainly remembered as the commander of the British First Army during Operation Torch, the Allied invasion of North Africa and the subsequent Tunisian campaign which ended with the capture of almost 250,000 Axis soldiers. An outwardly reserved character, he did not court popularity either with his superiors or with the public.

His American superior, General Dwight D. Eisenhower, wrote that he was "blunt, at times to the point of rudeness". In consequence he is less well known than many of his contemporaries. According to Richard Mead, however, "he handled a difficult campaign more competently than his critics suggest, but competence without flair was not good enough for a top commander in 1944."

Major general (United Kingdom)
Major general (Maj Gen) is a "two-star" rank in the British Army and Royal Marines. The rank was also briefly used by the Royal Air Force for a year and a half, from its creation in April 1918 until August 1919. In the British Army, a major general is the customary rank for the appointment of division commander. In the Royal Marines, the Commandant General holds at least the rank of major general.

A major general is senior to a brigadier but subordinate to a lieutenant general. The rank is OF-7 on the NATO rank scale, equivalent to a rear admiral in the Royal Navy or an air vice-marshal in the Royal Air Force and the air forces of many Commonwealth countries.
Exposition Universelle (1855)
The Exposition Universelle of 1855 (French pronunciation: [ɛkspozisjɔ̃ ynivɛʁsɛl]), better known in English as the 1855 Paris Exposition, was a world's fair held on the Champs-Élysées in Paris, France, from 15 May to 15 November 1855. Its full official title was the Exposition Universelle des produits de l'Agriculture, de l'Industrie et des Beaux-Arts de Paris 1855. It was the first of ten major expositions held in the city between 1855 and 1937. Nowadays, the exposition's sole physical remnant is the Théâtre du Rond-Point des Champs-Élysées, designed by architect Gabriel Davioud, which originally housed the Panorama National.

Exposition Universelle (1878)
The 1878 Universal Exposition (French: Exposition Universelle, [ɛkspozisjɔ̃ ynivɛʁsɛl]), also known as the 1878 Paris Exposition, 1878 World Fair, or 1878 World Expo, was a world's fair held in Paris, France, from 1 May to 10 November 1878, to celebrate the recovery of France after the 1870–71 Franco-Prussian War. It was the third of ten major expositions held in the city between 1855 and 1937.
Rubiaceae
Rubiaceae (/ruːbiˈeɪsiːˌiː, -siˌaɪ/) is a family of flowering plants, commonly known as the coffee, madder, or bedstraw family. It consists of terrestrial trees, shrubs, lianas, or herbs that are recognizable by simple, opposite leaves with interpetiolar stipules and sympetalous actinomorphic flowers. The family contains about 14,200 species in about 615 genera, which makes it the fourth-largest angiosperm family by number of species. Rubiaceae has a cosmopolitan distribution; however, the largest species diversity is concentrated in the tropics and subtropics. Economically important genera include  Coffea, the source of coffee; Cinchona, the source of the antimalarial alkaloid quinine; ornamental cultivars (e.g., Gardenia, Ixora, Pentas); and historically some dye plants (e.g., Rubia).

Garryaceae
Garryaceae is a small family of plants known commonly as the silktassels. It contains two genera:

Garrya Douglas ex Lindl., 1834. About 16–18 species.

Aucuba Thunb., 1783. About 3–10 species.

Aucuba was included in the family Cornaceae or Aucubaceae in some classification systems.

Together with Eucommia ulmoides the Garryaceae are currently placed by the Angiosperm Phylogeny Group in an own order, the Garryales.
Quarterback
The quarterback (QB) is a position in gridiron football who is a member of the offensive side of the ball and usually lines up directly behind the offensive line. In modern American football, the quarterback is usually considered the leader of the offense, and is often responsible for calling the play in the huddle. The quarterback also touches the ball on almost every offensive play, and is almost always the offensive player that throws forward passes. When the QB is tackled behind the line of scrimmage, it is called a sack. The position is also colloquially known as the "signal caller" and "field general". The quarterback is widely considered the most important position in American football, and one of the most important positions in all team sports.

San Antonio Gunslingers (USFL)
The San Antonio Gunslingers were a professional American football team based in San Antonio, Texas, that played in the United States Football League (USFL) in 1984 and 1985. Owned by oil magnate Clinton Manges, the team played its home games in Alamo Stadium and its colors were kelly green, royal blue, silver, and white. Rick Neuheisel was the team's quarterback.
Director-General of the BBC
The director-general of the British Broadcasting Corporation is chief executive and (from 1994) editor-in-chief of the BBC.

The post-holder was formerly appointed by the Board of Governors of the BBC (for the period 1927 to 2007) and then the BBC Trust (from 2007 to 2017). Since 2017 the director-general has been appointed by the BBC Board.

To date, 17 individuals have been appointed director-general, plus an additional two who were appointed in an acting capacity only. The current director-general is Tim Davie, who succeeded Tony Hall on 1 September 2020. On 9 November, his forthcoming resignation was announced.

Newsnight
Newsnight is the BBC's news and current affairs television programme, providing in-depth investigation and analysis of the stories behind the day's headlines. It is broadcast weeknights at 10:30 on BBC Two and the BBC News channel; it is also available on BBC iPlayer. The programme is currently presented by Victoria Derbyshire, Paddy O'Connell and Matt Chorley.
Cambria, California
Cambria (/ˈkæmbriə/) is a coastal town in San Luis Obispo County, California, United States midway between San Francisco and Los Angeles along California State Route 1 (Highway 1). The name Cambria, chosen in 1869, is the Latin name for Wales (Welsh, Cymru). Cambria is situated amidst Monterey pines in one of only three such native forests. The town previously had gone by the names of Slabtown, Rosaville, San Simeon, and Santa Rosa.

For statistical purposes, the United States Census Bureau has defined the unincorporated community as a census-designated place (CDP). The CDP of Cambria had a population of 5,678 at the 2020 census, down from 6,032 at the 2010 census.

California State Route 46
State Route 46 (SR 46) is an east–west state highway in the U.S. state of California. It is a major crossing of the Coast Ranges and it is the southernmost crossing of the Diablo Range, connecting SR 1 on the Central Coast near Cambria and US 101 in Paso Robles with SR 99 at Famoso in the San Joaquin Valley.

The road that is now SR 46 was built and improved during the 1920s and was fully paved by 1930. The majority of SR 46 was originally designated as U.S. Route 466; however, after the latter was entirely removed from the U.S. Highway system, the eastern portion of the route became SR 46.
List of NJ Transit bus routes (400–449)
New Jersey Transit operates the following bus routes across Camden, Gloucester, and Salem counties, with most running to Philadelphia via the Benjamin Franklin Bridge. At the time that the routes were numbered as such all of these routes crossed the Delaware River via the Benjamin Franklin Bridge; the 403, 405, 407, 413, and 419 have since been cut back to Camden.  (The 418 was created as a separate designation of the 409.) All routes into Philadelphia operate via 6th, Market, Broad, and Vine Streets in Center City Philadelphia.

Effective Monday, September 19, 2011, bus routes 400 and 403 operate as "Exact Fare".

Cherry Hill, New Jersey
Cherry Hill is a township within Camden County, in the U.S. state of New Jersey. As a suburb of Philadelphia, the township is part of the South Jersey and Delaware Valley regions. Cherry Hill Township grew during the mid-20th century suburbanization, becoming one of the Delaware Valley's main commercial centers, including the Cherry Hill Mall. As of the 2020 United States census, the township's population was 74,553.
1913 Argentine Primera División
The 1913 Argentine Primera División was the 22nd season of top-flight football in Argentina. Racing won the official AFA tournament also achieving its first title in Primera División, while Estudiantes (LP) won the FAF title.

The AFA season began on April 13 and ended on December (?) while the FAF season began on May 1 and ended on December 21.

1917 Argentine Primera División
The 1917 Argentine Primera División was the 26th season of top-flight football in Argentina. The season began on April 1, and ended on December 30.

Racing won its fifth consecutive league title. Sportivo Barracas made its debut in Primera División, while Gimnasia y Esgrima (BA) and Banfield were relegated at the end of the season.