hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Geometric combinatorics
Geometric combinatorics is a branch of mathematics in general and combinatorics in particular.  It includes a number of subareas such as polyhedral combinatorics (the study of faces of convex polyhedra), convex geometry (the study of convex sets, in particular combinatorics of their intersections), and discrete geometry, which in turn has many applications to computational geometry. Other important areas include metric geometry of polyhedra, such as the Cauchy theorem on rigidity of convex polytopes.  The study of regular polytopes, Archimedean solids, and kissing numbers is also a part of geometric combinatorics.  Special polytopes are also considered, such as the permutohedron, associahedron and Birkhoff polytope.

Cauchy's theorem (geometry)
Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy. It states that 
convex polytopes in three dimensions with congruent corresponding faces must be congruent to each other. That is, any polyhedral net formed by unfolding the faces of the polyhedron onto a flat surface, together with gluing instructions describing which faces should be connected to each other, uniquely determines the shape of the original polyhedron. For instance, if six squares are connected in the pattern of a cube, then they must form a cube: there is no convex polyhedron with six square faces connected in the same way that does not have the same shape.

This is a fundamental result in rigidity theory: one consequence of the theorem is that, if one makes a physical model of a convex polyhedron by connecting together rigid plates for each of the polyhedron faces with flexible hinges along the polyhedron edges, then this ensemble of plates and hinges will necessarily form a rigid structure.
Stansberry
Stansberry is a surname. Notable people with the surname include:

Craig Stansberry (born 1982), American former baseball player

James W. Stansberry (1927–2010), American general and commander

Joe Stansberry (born 1956), American golfer

Porter Stansberry (born 1972), American financial publisher and author
Stansberry Research

Richard Stansberry (1928–2016), American politician

Taj Stansberry, American director and photographer

James W. Stansberry
James Wesley Stansberry (December 29, 1927 – June 28, 2010) was a United States Air Force lieutenant general and commander of the Electronic Systems Division, Air Force Systems Command, Hanscom Air Force Base, Massachusetts.
Solano Community College
Solano Community College (SCC) is a public community college in Fairfield, California, with additional centers in Vacaville and Vallejo. The college is part of California Community Colleges System. SCC's service area includes all of Solano County, and the town of Winters in Yolo County. It has 10,814 students.

In 2016, Solano College was approved by the ACCJC to offer its first baccalaureate degree in biomanufacturing. The first cohort of students began the Bachelor of Science degree program in fall.

Solano County, California
Solano County (/səˈlɑːnoʊ/ ⓘ) is a county in the U.S. state of California. As of the 2020 census, its population was 453,491. The county seat is Fairfield.

Solano County comprises the Vallejo–Fairfield metropolitan statistical area, which is also included in the San Jose–San Francisco–Oakland, combined statistical area. Solano County is the northeastern county in the nine-county San Francisco Bay Area region.
FF Developments
FF (Ferguson Formula) Developments Limited (FFD) was a British company founded by Major A.P.R. (Tony) Rolt to exploit the 4WD technology begun originally at Dixon-Rolt Developments in partnership with Freddie Dixon and, from 1950 at Harry Ferguson Research. Rolt became Technical Director at Harry Ferguson Research until 1971, when the company was closed down.

According to Ward's Auto World the influence that FFD had on all wheel drive (AWD) development transcended its size.

Ward's
Ward's is an American organization that has covered the automotive industry for over a century.

The organization is responsible for several publications including, Ward's AutoWorld, and Ward's Dealer Business. Ward's also publish the annual list of Ward's 10 Best Engines.
Battle of Bani Walid
The Battle of Bani Walid was a military operation in the Libyan Civil War conducted by anti-Gaddafi forces in September and October 2011, in an effort to take control of the desert city of Bani Walid from pro-Gaddafi forces. It began following days of force buildup on the part of the attackers, as well as skirmishes around the city.

Anti-Gaddafi forces
The Anti-Gaddafi forces, also known as the Libyan opposition or Libyan rebels, were NATO/Qatari-backed Libyan groups that opposed and militarily defeated the government of Muammar Gaddafi during the First Libyan Civil War in 2011, killing him in the process. The Anti-Gaddafi forces were represented by the National Transitional Council and their National Liberation Army, which claimed to be the "only legitimate body representing the people of Libya and the Libyan state". These opposition forces included organized and armed militia groups, participants in the Libyan Civil War, Libyan diplomats who switched their allegiance from the Gaddafi-led government, and Libyan military units that switched sides to support the protesters.
Dry carpet cleaning
Dry carpet cleaning involves the use of specialized machines to clean carpets with recently developed chemical technologies that permit no-moisture or "very low moisture" (VLM) cleaning, resulting in carpet beautification, and removal of stains, dirt, grit, sand, and allergens. Clean carpets are recognized by manufacturers as being more visually pleasing, potentially longer-lasting and probably healthier than poorly maintained carpets.

Carpet cleaning is reportedly widely misunderstood, and chemical developers have only within recent decades created new carpet care technologies. Particularly, encapsulation and other green technologies work better, are easier to use, require less training, save more time and money, and lead to less re-soiling than prior methods. Dry carpet cleaning can also aid in achieving U.S. Green Building Council Leadership in Energy and Design (LEED) certification.

U.S. Green Building Council
The U.S. Green Building Council (USGBC), founded in 1993, is a private 501(c)(3), membership-based non-profit organization that promotes sustainability in building design, construction, and operation. USGBC is best known for its development of the Leadership in Energy and Environmental Design (LEED) green building rating systems and its annual Greenbuild International Conference and Expo, the world's largest conference and expo dedicated to green building. USGBC was one of eight national councils that helped found the World Green Building Council (WorldGBC).

Through its partnership with the Green Business Certification Inc. (GBCI), USGBC offers a suite of LEED professional credentials that denote expertise in the field of green building. USGBC incentivizes LEED certification by awarding extra certification points to building projects completed with a LEED-certified professional on staff.
Heino Pulli
Heino Vihtori Pulli (March 22, 1938 – April 11, 2015) was a Finnish ice hockey player who played in the SM-sarja. Born in Sortavala, Finland, he played for TK-V who later became KOOVEE. He was inducted into the Finnish Hockey Hall of Fame in 1994.

SM-sarja
SM-Sarja was the top level of ice hockey in Finland from 1928 to 1975. SM-sarja is a common abbreviation for Suomen mestaruussarja, "Finnish Championship Series".

There was variable number of teams playing for the Finnish championship during the time of SM-sarja. The lowest number of participating teams was during the 1935 SM-sarja season when there was 3 teams. The most common number of participating teams was 12.

Since 1944-45 SM-sarja season there was relegations for lowest-ranking teams of each season. In the relegations the lowest-ranking teams either faced the winner of the 1. Divisioona (1st Division) or was straightly relegated from SM-sarja.
Clanwilliam yellowfish
The Clanwilliam yellowfish (Labeobarbus seeberi) is a ray-finned fish species in the family Cyprinidae. It has long been placed in Barbus, the "wastebin genus" for barbs, by default; however, the species is increasingly being restored to related yellowfish genus Labeobarbus which seems a much more appropriate placement. It is hexaploid like the other yellowfish, among which it is more closely related to the smallscale yellowfish (L. polylepis) than to the largescale yellowfish (L. marequensis).

As its relatives, this is a large species. They are silvery with blotchy vertical barring on the sides when young, and become light brown all over when adult. Males turn golden-yellow in the breeding season, and the common name refers to this.

Vertical and horizontal
In astronomy, geography and related sciences and contexts, an orientation or plane passing by a given point is said to be vertical if it contains the local gravity direction at that point.

Conversely, a orientation, plane or surface is said to be horizontal (or leveled) if it is everywhere perpendicular to the vertical orientation.

More generally, something that is vertical can be drawn from "up" to "down" (or down to up), such as the y-axis in the Cartesian coordinate system.
Tånnander
Tånnander is a Swedish surname. Notable people with the surname include:

Annette Tånnander (born 1958), Swedish Olympic heptathlete, daughter of Kjell

Kjell Tånnander (born 25 June 1927), Swedish Olympic decathlete

Kristine Tånnander  (born 1955), Swedish Olympic heptathlete, daughter of Kjell

Kjell Tånnander
Kjell Uno Jörgen Tånnander (born 25 June 1927) is a Swedish retired decathlete who won a bronze medal at the 1950 European Athletics Championships. He competed at the 1948 and 1952 Summer Olympics and finished in 15th and 7th place, respectively. His daughters Annette and Kristine became Olympic heptathletes.

Tånnander won the Swedish decathlon title in 1949 and 1951. Between 1949 and 1955 he also collected 15 medals in the standing high jump and standing long jump at the national championships.
Kwun Lung (constituency)
Kwun Lung was one of the 15 constituencies in the Central and Western District.

It returned one member of the district council until it was abolished the 2023 electoral reforms.

Kwun Lung constituency was loosely based on the area around Kwun Lung Lau in Kennedy Town with estimated population of 15,273.

Central and Western District
The Central and Western District (Chinese: 中西區; Cantonese Yale: Jūngsāi Kēui, Jyutping: zung1 sai1 keoi1), located on northwestern part of Hong Kong Island, is one of the 18 administrative districts of Hong Kong. It had a population of 243,266 in 2016. The district has the most educated residents with the second highest income, and the third lowest population due to its relatively small size.

Central is the central business district and the core urban area of Hong Kong. Western District covers Shek Tong Tsui, Kennedy Town, Sai Ying Pun, parts of Lung Fu Shan. Most of the districts lie within the statutory limits of the City of Victoria, the earliest urban settlement in colonial Hong Kong, except the far western end of the district, i.e. Victoria Road, Mount Davis and areas above the 700-feet contour, aka. the Peak.
Pïleike
Pïleike was a Wayana village in the Sipaliwini District of Suriname. The village lies across the Lawa River from the island village of Kulumuli, which is considered to lie in French Guiana. As of 2009, the village is abandoned.

Lawa River (South America)
The Lawa is a river of South America. It forms part of the international boundary between Suriname and French Guiana. It is formed by the confluence of the Litani and Malani. Downstream from its confluence with the Tapanahony, it is called Maroni. The total length of Litani, Lawa and Maroni is 612 km (380 mi). Important tributaries are the Tampok, Inini and Grand Abounami.

After gold was discovered on the banks of the Lawa River, the governor of Suriname, Cornelis Lely, ordered the construction of the Lawa Railway in 1902. Construction of the railway line was halted when gold production in the area proved disappointing.
Natalia Pokas
Natalia Pokas (Russian: Наталия Покас; born 1 September 1965) is a retired Soviet butterfly swimmer. She won a bronze medal at the 1982 World Aquatics Championships and a silver medal at the 1981 European Aquatics Championships, both in the 4 × 100 m medley relay.

1982 World Aquatics Championships
The 4th FINA World Aquatics Championships took place from July 29-August 8, 1982, in Guayaquil, Ecuador. They featured 848 athletes, competing in four Aquatics disciplines:

Diving - 4 events (2 male, 2 female);

Swimming - 29 events (15 male, 14 female);

Synchronized Swimming - 3 events (all female); and

Water Polo - 1 event (male).
Mansehra District
Mansehra District (Urdu, Hindko: ضلع مانسہرہ) is a district in the Hazara Division, Khyber Pakhtunkhwa, northern Pakistan. The city of Mansehra serves as the headquarters of the district.

Mansehra was established as an independent district in 1976. It was previously a tehsil within the broader Hazara District. In 1993, a former subdivision of Mansehra, Battagram, was separated as an independent district. Similarly, in 2011, another subdivision of Mansehra, Kala Dhaka, was separated which is now known as Torghar District.

The area comprising present-day Mansehra District historically consisted of two regions: Pakhal, known as the country of the Swati tribe, and Tanawal, the territory of the Tanoli tribe. According to revenue records, historical accounts, and British gazetteers, following the conquest of Pakhal from the Turks in 1703, Swati clans settled across the region, establishing ownership of nearly all villages in the district.

Dardic languages
The Dardic languages (also Dardu or Pisaca), or Hindu-Kush Indo-Aryan languages, are a group of several Indo-Aryan languages spoken in northern Pakistan, northwestern India and parts of northeastern Afghanistan. This region has sometimes been referred to as Dardistan.

Rather than close linguistic or ethnic relationships, the term Dardic is a geographical concept, denoting the northwesternmost group of Indo-Aryan languages. There is no ethnic unity among the speakers of these languages, nor can the languages be traced to a single ancestor.

The extinct Gandhari language, used by the Gandhara civilization, was Dardic in nature. Linguistic evidence has linked Gandhari with some living Dardic languages, particularly Torwali and other Kohistani languages.
Pseudugia
Pseudugia is a monotypic moth genus of the family Erebidae. Its only species, Pseudugia bistriata, is found in Guinea. Both the genus and species were first described by David Stephen Fletcher and Pierre Viette in 1955.

Pierre Viette
Pierre E. L. Viette (29 June 1921 – 30 April 2011) was a French entomologist. He attended university in Dijon during the German occupation of France in World War II, then spent his entire career at the Muséum national d'Histoire naturelle in Paris. He specialized in insect systematics, especially Lepidoptera, and had over 400 articles published.
Sir Thomas Mostyn, 6th Baronet
Sir Thomas Mostyn, 6th Baronet (20 October 1776 – 17 April 1831) of Mostyn Hall, Flintshire and Gloddaeth Hall, Caernarvonshire, was a Welsh Member of Parliament.

He was the only son of Sir Roger Mostyn, 5th Baronet and educated at Westminster School and Christ Church, Oxford. He succeeded his father to the baronetcy in 1796.

He was MP for Flintshire from 1796 to 1797 and again from 1799 to 1831. He was appointed High Sheriff of Caernarvonshire for 1798–99 and High Sheriff of Merionethshire for 1799–1800.

He died unmarried in 1831 and the baronetcy became extinct. His main estates passed to his sister Elizabeth and her husband, Sir Edward Pryce Lloyd, who was created Baron Mostyn later that year. The Baron's son adopted the additional name of Mostyn.

Caernarfonshire
Caernarfonshire (/kərˈnɑːrvənʃər/; Welsh: Sir Gaernarfon, Welsh pronunciation: [ˈsir gaɨ̯rˈnarvɔn]), previously spelled Caernarvonshire or Carnarvonshire, was one of the thirteen counties of Wales that existed from 1536 until their abolition in 1974. It was located in the north-west of Wales.
Pizzo delle Pecore
Pizzo delle Pecore (2,381 m) is a mountain of the Swiss Lepontine Alps, located east of Cevio in the canton of Ticino. It lies just south of the slightly higher Cima di Broglio, on the range between the Valle Maggia and the Valle Verzasca.

Valle Verzasca
The Valle Verzasca is a valley in the Locarno District of the canton of Ticino, Switzerland. It comprises the municipalities of Mergoscia, Vogorno, Corippo, Lavertezzo, Brione, Gerra, Frasco, and Sonogno. As of 2004, the total population is 3,200. It is the most central valley of Ticino, and none of the passes out of the valley cross cantonal or national borders. The valley is formed by the river Verzasca and is situated between the Leventina and the Maggia and culminates at Pizzo Barone.
Will Dean (rower)
Will Dean (born June 10, 1987) is a Canadian rower. He won two gold medal at the 2015 Pan American Games in the men's quadruple sculls and men's eight events.

He was part of the Canadian men's four who reached the B final at the 2012 Summer Olympics.

In 2016, Dean qualified for the 2016 Summer Olympics as a member of the Canadian quadruple sculls crew after they finished in second place (and last qualifying position) at the last chance qualification event in Lausanne, Switzerland. The second place finish was upgraded to first following the disqualification of the Russian team due to a failed drug test. At the 2016 Olympics, the Canadian quadruple sculls crew finished 8th.

Rowing at the 2016 Summer Olympics
The rowing competitions at the 2016 Summer Olympics in Rio de Janeiro took place from 6 to 13 August 2016 at the Rodrigo de Freitas Lagoon in Lagoa. Fourteen medal events were being contested by 547 athletes, 334 men and 213 women.

For the third Olympics in a row, Great Britain was the most successful nation, topping the medal table with three golds and two silvers. Germany and New Zealand finished equal in second place with two golds and one silver each.
Dilley (surname)
Dilley is the surname of the following people:

Dilley sextuplets (born 1993), the first surviving set of sextuplets in the United States

Barbara Dilley (born 1938), American dancer, performance artist, choreographer and educator

Ben Dilley (born 1991), American cyclist

Bruno Dilley (1913–1968), German Luftwaffe officer during World War II

Ernie Dilley (1896–1968), English footballer

Frank B. Dilley (1931–2018), American philosopher

Gary Dilley (born 1945), American swimmer

Graham Dilley (1959–2011), English cricketer

Leslie Dilley (1941–2025), Welsh production designer and art director

Mark Dilley (born 1969), Canadian race car driver

Michael Dilley, English cricketer

Philip Dilley (born 1955), British engineer, businessman, and public servant

Whitney Crothers Dilley, American professor of comparative literature and cinema studies

Mark Dilley
Mark Dilley (born January 20, 1969) is a Canadian race car driver. He competes in the NASCAR Pinty's Series, driving the No. 64 Leland/BDI/PartSource Ford Fusion for Micks Motorsports. Dilley has been co-owner of Sauble Speedway since May 2017.
Blue Waters, Perth
Blue Waters is a historic private residence located on Canning Highway in Como, Western Australia. The house was built in 1954 by Mabel and Keith Perron (the brother of Stan Perron). Designed as a "party palace", it became the hub of the Perth social scene for many years.

Canning Highway
Canning Highway is an arterial road in Perth, Western Australia, linking the inner Perth suburb of Victoria Park in the north-east, to the port city of Fremantle in the south-west.

The road is mostly a four-lane divided carriageway, with a general speed limit of 60 km/h (37 mph). It is located immediately south of the Swan River and runs between The Causeway in Victoria Park and Queen Victoria Street in Fremantle.

Canning Highway was the inspiration for the AC/DC song "Highway to Hell" as it had a reputation for accidents and led to many of singer Bon Scott's favourite pubs and hotels, including the Raffles Hotel.
Lightnin' (play)
Lightnin' is a comedy play in three acts by Winchell Smith and Frank Bacon. The play was produced by John Golden and directed by P. E. McCoy. With Frank Bacon in the lead role and billed as "A Live Wire American Comedy", Lightnin'  made its Broadway debut on August 26, 1918, at the Gaiety Theatre and played continuously over three seasons with a record breaking run of 1,291 performances. The show began its long national tour at the end of August 1921 and continued on for some time after Bacon’s death in November 1922. Lightnin'  was revived in 1938 for a two-month run at the John Golden Theatre with Fred Stone playing Lightnin’ Bill Jones and was adapted for cinema twice in films starring Jay Hunt (1925) and Will Rogers (1930).

Jay Hunt (director)
Jay Hunt (August 4, 1855 – November 18, 1932) was an American film director and actor. He directed nearly 70 films between 1911 and 1919. He continued his career as an actor until 1931. The White Squaw, a 1920 film directed by Hunt, was preserved by the Academy Film Archive in 2011.
Eulalia Jiménez Méndez
Eulalia Jiménez Méndez (Celaya, Guanajuato, Mexico, 1891) was a Maderista Mexican revolutionary, a member of the Hijas de Cuauhtémoc Women's Anti-Reelectionist Club which sought to combat the regime of Porfirio Díaz.

Hijas de Cuauhtémoc
Hijas de Cuauhtémoc (Spanish for "Daughters of Cuauhtémoc") was a student Chicana feminist newspaper founded in 1971 by Anna Nieto-Gómez and Adelaida Castillo while both were students at California State University, Long Beach.
2009 European F3 Open Championship
The 2009 European F3 Open Championship was the first season with the new championship denomination after eight seasons of the Spanish Formula Three Championship. It began on 2 May 2009 in Valencia and will end on 1 November in Montmeló after 16 rounds in five countries. The main Class A title was claimed by Bruno Méndez, holding off Celso Míguez by just two points. Callum MacLeod won the secondary Copa F306/300, as well as finishing ninth in the overall championship. Méndez's team Campos Racing also claimed the teams title, beating main rivals Drivex by seven points.

Drivex
Drivex is an auto racing team and school based in Spain. The team was founded by Pedro de la Rosa and Miguel Ángel de Castro in 2005 as a racing school. The racing team is run by Miguel Ángel de Castro. They compete in the F4 Spanish Championship and Eurocup-3.
Baker–Fancher party
The Baker–Fancher party (also called the Fancher–Baker party, Fancher party, or Baker's Company) was a group of American western emigrants from Marion, Crawford, Carroll, and Johnson counties in Arkansas, who departed Carroll County in April 1857 and "were attacked by the Mormons near the rim of the Great Basin, and about fifty miles from Cedar City, in Utah Territory, and that all of the emigrants, with the exception of 17 children, were then and there massacred and murdered" in the Mountain Meadows massacre. Sources estimate that between 120 and 140 men, women and children were killed on September 11, 1857, at Mountain Meadows, a rest stop on the Old Spanish Trail, in the Utah Territory. Some children of up to six years old were taken in by the Mormon families in Southern Utah, presumably because they had been judged to be too young to tell others about the massacre.

Massacre
A massacre is an event of killing defenseless human beings or other animals. It is generally used to describe a targeted mass killing of civilians by an armed group. It can also be used figuratively to refer to a one-sided exchange between armed groups. The word is a loan of a French term for "butchery" or "carnage". Other terms with overlapping scope include war crime, pogrom, mass killing, mass murder, and extrajudicial killing.