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Dynamical system involving reflection
every triangle have a periodic billiards path? More unsolved problems in mathematics In mathematics, triangular billiards is a dynamical system that models
Triangular_billiards
Shape with three sides
include the Sierpiński gasket and the Koch snowflake. Bermuda Triangle Triangular billiards The definition by Euclid states that an isosceles triangle is a triangle
Triangle
Idealised system for theoretical analysis
This system was first studied by Emil Artin in 1924. Triangular billiards is the dynamical billiards problem in a triangle. It is a major open problem in
Dynamical_billiards
Table games using cues and billiard balls
traditionally triangular in shape, but varies with the type of billiards played. There are two main types of racks; the more common triangular shape which
Cue_sports
Polyhedral number representing a tetrahedron
(Te5 = 35) can be modelled with 35 billiard balls and the standard triangular billiards ball frame that holds 15 balls in place. Then 10 more balls are stacked
Tetrahedral_number
Optimisation problem in triangle geometry
solves for acute triangles the problem of finding a periodic path in triangular billiards. The existence of such a path remains open for arbitrary triangles
Fagnano's_problem
strongly mixing systems also strongly 3-mixing? Triangular billiards – does every triangle have a periodic billiards path? Weinstein conjecture – does a regular
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Containment rack in pocket billiards
billiard balls in their starting positions at the beginning of a pocket billiards game. Rack may also be used as a verb to describe the act of setting billiard
Rack_(billiards)
American mathematician
exists an outer billiards system with an unbounded orbit. A solution of the 5-electron case of J. J. Thomson's 1904 problem: The triangular bipyramid is
Richard Schwartz (mathematician)
Richard_Schwartz_(mathematician)
English-language terms used in the three overarching cue sports disciplines: carom billiards referring to the various carom games played on a billiard table without
Glossary_of_cue_sports_terms
Italian mathematician (1715–1797)
Company. Gutkin, Eugene (1997), "Two applications of calculus to triangular billiards", The American Mathematical Monthly, 104 (7): 618–622, doi:10.2307/2975055
Giovanni_Fagnano
Outer billiards is a dynamical system based on a convex shape in the plane. Classically, this system is defined for the Euclidean plane but one can also
Outer_billiards
These surfaces arise in dynamical systems where they can be used to model billiards, and in Teichmüller theory. A particularly interesting subclass is that
Translation_surface
Pool game popular in much of the world
national affiliates around the world, promulgates standardized rules as Pool Billiards – The Rules of Play. These are used for amateur and professional play
Eight-ball
Cue sport
SNOO-kər, US: /ˈsnʊkər/ SNUUK-ər) is a cue sport played on a rectangular billiards table covered with a green cloth called baize, with six pockets: one at
Snooker
Type of cue sport
rotation, or 61, is a pool game, played with a pocketed billiards table, cue ball, and triangular rack of fifteen billiard balls, in which the lowest-numbered
Rotation_(pool)
Carom billiards and pool are two types of cue sports or billiards-family games, which as a general class are played with a stick called a cue which is
Comparison_of_cue_sports
Part of the human body where the legs join the torso
(2000): 2486–2488. Byrne, Robert. Byrne's new standard book of pool and billiards. Houghton Mifflin Harcourt, 1998. Guthrie, R. Dale. 2006. The Nature of
Crotch
Men's One Day International (ODI) event
involving multiple international teams had been held as early as 1912, when a triangular tournament of Test matches was played between Australia, England and South
Cricket_World_Cup
Premier League and Division One. Northern Ireland Billiards and Snooker Association hosts city-based billiards ranking events. Many of the city's traditional
Sport_in_Belfast
Third planet from the Sun
102896. ISSN 0012-8252. "Is a Pool Ball Smoother than the Earth?" (PDF). Billiards Digest. 1 June 2013. Archived (PDF) from the original on 4 September 2014
Earth
Country house in Derbyshire, England
riding, reading and playing billiards. In the evening formal dinners would take place, followed by music, charades and billiards or conversation in the smoking
Chatsworth_House
Cricket venue in St John's Wood, UK
venue, in 1978. Other sports played at Lord's include lawn bowls and billiards. In 1838, a bowling green was constructed at the western end of the ground
Lord's
Machine used to set bowling pins
promote the sport of bowling in Europe. In 1984, Brunswick Bowling & Billiards Corporation acquired the rights to manufacture and sell the GS-10. The
Pinsetter
International governing body of cricket
between Australia, England, and South Africa. He further offered to host a triangular Test series amongst the teams in South Africa. Though, the Australian
International_Cricket_Council
Strongman competition
their shoulders for a short distance. Husafell Stone – A flat, somewhat triangular lifting stone weighing around 410 lb (186 kg) is carried high on the chest
World's_Strongest_Man
Country within the United Kingdom
league, tennis, boxing, badminton, squash, rounders, hockey, snooker, billiards, darts, table tennis, bowls, netball, thoroughbred horseracing, greyhound
England
Form of bowling
a billiards and bowling hall. A 1987 Sports Illustrated article stated the game was invented in 1881 in that town by one John J. Monsey, a billiards player
Candlepin_bowling
English snooker player (1931–2002)
'triangular' event featuring three professionals, and the Castle Pro-Am. The Billiard Association and Control Council's official magazine Billiards and
Bernard_Bennett
powers of Bishop and Nightrider, see Banshee Unicorn (Triangular Chess) 2<>.1=,2=.1<> Triangular chess Moves 2 steps as a rook and then one step as a rook
List_of_fairy_chess_pieces
Capital city of China
of China (2003, 2004, 2005, 2008, 2009 and 2010), World Professional Billiards and Snooker Association China Open for Snooker (annually since 2005),
Beijing
Public university in Ames, Iowa, US
University departments and student organizations, The M-Shop, CyBowl & Billiards, the University Book Store, and the Workspace. The original building was
Iowa_State_University
City in Massachusetts, United States
establishments in its downtown. Among its oldest institutions are Smith's Billiards, founded in 1902, which serves Theodore's Blues, Booze, & BBQ, a neighboring
Springfield,_Massachusetts
Chinese-American architect (1917–2019)
allowed only one half-day each month for leisure. Pei enjoyed playing billiards and watching Hollywood movies, especially those of Buster Keaton and Charlie
I._M._Pei
Supertall skyscraper in Brooklyn, New York
areas also have a conference room, meeting room, dining room, kitchen, billiards room, and movie room for residents. The gym space covers over 36,000 square
Brooklyn_Tower
Filipino martial art
magazines/ newspapers, books, cellular phones, tennis rackets, butt of billiards cue, bottles, coffee mugs, chair legs, tree branches or twigs, etc. Baraw
Arnis
Hotel in Huddersfield, England
William Street and contained a large dining room on the ground floor, billiards room on the first floor, and bedrooms above. In 1874, a north-west wing
George_Hotel,_Huddersfield
Highest mountain in Kenya
Terere and Sendeyo are two craggy outlying peaks Mugi hill and the Giant's Billiards Table offers some of the best hillwalking in Kenya. Nelion from Batian
Mount_Kenya
Village in West Yorkshire, England
community - it had a concert hall, with gallery to seat 650 people, library, billiards room and many other facilities. It also sponsored the Black Dyke Mills
Queensbury,_West_Yorkshire
Part of the Paraguayan War
and even ladies' frocks. There were dentists, barbers, dance halls, a billiards saloon, brothels, bath houses, a church, even a theatre. For those in
Siege_of_Humaitá
sport in Ancient Greece in 688 BC Golf – Modern game invented in Scotland Billiards Badminton Darts – a traditional pub game, the numbering layout was devised
List of British innovations and discoveries
List_of_British_innovations_and_discoveries
Café in Padua, Italy
the hall and the surrounding areas have hosted the smoking room and billiards. These items were deleted by Pisani renovation in 1950, that wanted to
Pedrocchi_Café
Team sport played with sticks and a ball
play). Billiards historians Stein and Rubino believe it was among the games ancestral to lawn-and-field games like hockey and ground billiards, and near-identical
Field_hockey
Historic site in Queensland, Australia
appearance. The top of the facade is marked by two flying gables with triangular pediments and semi-circular valances with a central finial. The gables
Ascot_House
permission to have billiards tables in their premises, and in 1727 they demanded and received the exclusive rights to operate public billiards parlors. Winters
Paris_in_the_17th_century
rugby league, rugby union, table tennis, darts, bowls, squash, snooker, billiards, and thoroughbred horse racing. It has helped the development of golf
Culture_of_England
Hotel in Singapore
There are rooms where members dined, lounged, conferred, and played billiards and cards. Bedrooms on the attic storey provided accommodation for members
The_Fullerton_Hotel_Singapore
Full contact outdoor men's team sport
an effort to score by shooting the ball into the opponent's goal. The triangular head of the lacrosse stick has a loose net strung into it that allows
Field_lacrosse
Mansion in Manhattan, New York
concentrate during matches. Other features of the house included wine vaults, billiards rooms, a fitness room, a studio, an infirmary room, and a garage that
Isaac_L._Rice_Mansion
Multi-sport event in Malaysia
shortlist. Also removed from the list are the women's events in boxing, billiards and snooker, sanda, and weightlifting and 8 events in Athletics. National
2017_SEA_Games
Series of Lego sets that resemble real life buildings
pieces. It contains a detective's office, a barbershop named "Al's", a billiards table "pool" room, and an upstairs detective's office with a corridor
Lego_Modular_Buildings
Building in Moscow, Russia
events, exhibitions and banquets. The MDM also houses the Small Hall, billiards, bowling, restaurants and shops. The third floor is occupied by the "Kronverk
Moscow_Palace_of_Youth
Historic site in Queensland, Australia
1932. It is thought to have previously been a church, but was used as a billiards room and is sited picturesquely in a wooded area adjacent to the main
Gabbinbar_Homestead
The finding in the River Nile of Moses as a baby by the daughter of Pharao
Fosse was one of a pair of biblical subjects commissioned in 1701 for the billiards room at the Palace of Versailles, paired with "Eliezer and Rebecca"; possibly
Finding_of_Moses
Borough in Pennsylvania, US
sculptor born in Sayre in 1925 Red Murray, baseball player Erwin Rudolph, billiards player Robert S. Smith, priest Jeff Terpko, baseball player The Morning
Sayre,_Pennsylvania
Singaporean badminton player
participating in various sporting events such as athletics, badminton, billiards, and table tennis. Despite his versatility, it was in badminton, a game
E._J._Vass
Lie algebra classification
automorphism group GL2(R). (2) The solvable Lie algebra of 2×2 upper triangular matrices of trace 0. It has trivial center and trivial outer automorphism
Bianchi_classification
Official residence of the Portuguese president
body with floor level arcades, over a colonnade gallery surmounted by a triangular pediment decorated in stucco. The two outside blocks are farther in front
Belém_Palace
Historic house in Manhattan, New York
19th-century architectural details, and a kitchen was converted to a billiards room. When the Morris–Jumel Mansion became a museum, it was re-furnished
Morris–Jumel_Mansion
Former municipality in Limburg, Netherlands
with various sports clubs (football, handball, tennis, badminton, judo billiards), a concert band, a mixed choir, a young adults club (Jonkheid), and a
Berg_en_Terblijt
Building in Manhattan, New York
portion of the Barclay–Vesey Building include rooms for wine-tasting and billiards; music practice; a fitness center; a children's playroom; and a residents'
Barclay–Vesey_Building
French architect and designer (1867–1942)
Décoratifs in Paris, and Musée des Beaux-Arts de Lyon. Divan for the billiards room of pharmacist Albert Roy at Gévriles (1897-90) (Musée d'Orsay, Paris)
Hector_Guimard
building. Located on the left (A) wing is a game room/lounge area with a billiards table, ping-pong table[citation needed], some sofas, and a widescreen
List of Lehigh University buildings
List_of_Lehigh_University_buildings
Former commune of the Seine department
some guinguettes (dance halls) hosted dances and other cabarets played billiards. Agriculture, which in 1805 represented 292 hectares of the commune's
La_Chapelle_(Seine)
Historic house in Manhattan, New York
built, the ground (or first) floor had a "T"-shaped entrance hall, a billiards room, a dining room, and a breakfast room. The reception rooms on the
John_Henry_Hammond_House
United States historic place
the house including a bathroom featuring a Victorian Turkish bath and a billiards room in the basement. Every room in the house had a fireplace, many of
James_G._Blaine_Mansion
International sport governing body
NED, BEL, GBR - First IKF match series in 1963. In 1974 the 10th (last) Triangular Trophy Tournament was held in London. First European Cup tournament in
International Korfball Federation
International_Korfball_Federation
Municipality in Castile and León, Spain
other hand, local tournaments in various disciplines such as football, billiards, or tennis during the patronal festivals of Santa Marta at the end of
Astorga,_Spain
Australian cricketer
were Phil Newland and Harwood Jarvis). Later in life, he won local golf, billiards, and lawn bowls tournaments, partnering with his son Glen on occasion
Percy_Hutton
Historic site in Queensland, Australia
used exclusively by returned soldiers as a club, contained a club room, billiards room, card room and lavatories. The ground floor comprised an entrance
Soldiers Memorial Hall, Toowoomba
Soldiers_Memorial_Hall,_Toowoomba
UNESCO World Heritage Site
hand its name refers to a one-storey building previously used to play billiards in it, which Schinkel redesigned; on the other hand there is the Italian
Park_Glienicke
rear is a later extension with two storeys and four bays, containing a billiards room. Estate outbuildings, Halton Place 53°59′21″N 2°13′46″W / 53.98919°N
Listed buildings in Halton West
Listed_buildings_in_Halton_West
windows have balconettes, and on the east side is a link to a single-storey billiards room. II 1–5 Spring Bank Place and 384 Manningham Lane 53°48′24″N 1°45′53″W
Listed buildings in Bradford (Manningham Ward)
Listed_buildings_in_Bradford_(Manningham_Ward)
Historic district in Wisconsin, United States
windows, and a fancy metal cornice. It housed a bakery until 1909, later a billiards room, grocery store, and restaurant. The Andra Block at 79 N Main St is
Main Street Historic District (Fort Atkinson)
Main_Street_Historic_District_(Fort_Atkinson)
Historic site in Queensland, Australia
1987 the bottle shop was moved southwards to the site of the original billiards room, and later a TAB operated from the southernmost shop space. New male
Exchange_Hotel,_Mossman
for England, retrieved 18 January 2015 Historic England, "The former Billiards Hall, Burnley (1247304)", National Heritage List for England, retrieved
Listed_buildings_in_Burnley
a cornice on consoles. Attached on the left is a single-storey former billiards room. I 1 and 2 Horse Race End 53°40′15″N 1°27′20″W / 53.67071°N 1.45569°W
Listed buildings in Warmfield cum Heath
Listed_buildings_in_Warmfield_cum_Heath
Former agricultural college in Aspatria, England
The students also indulged in a variety of fringe activities, of which billiards was the most popular. For the military-minded, membership of the gun club
Aspatria_Agricultural_College
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
Boy/Male
English
Lives in the triangular farm stead.
Surname or Lastname
English
English : habitational name from Garton in East Yorkshire or from various minor places so named, from Old English gÄra ‘triangular plot of land’ + tÅ«n ‘farmstead’.
Surname or Lastname
English
English : habitational name from any of various places, for example in Kent and Wiltshire, named Gore, from Old English gÄra ‘triangular piece of land’ (a derivative of gÄr ‘spear’, with reference to the triangular shape of a spearhead).French : nickname for a gluttonous and idle individual, from Old French gore ‘sow’ (of allegedly imitative origin, reflecting the grunting of the animal).
Boy/Male
American, British, English
Battlefield; From the Triangular Field
Boy/Male
American, Anglo, Australian, British, English
From the Triangle Shaped Settlement; Lives in the Triangular Farm Stead
Surname or Lastname
English
English : probably a habitational name from a lost or unidentified place, generally from a field name denoting a triangular area, Old English gÄra (see Gore) at the corner of an open field after rectangular furlongs had been laid out.Jewish : Americanized form of one or more like-sounding Jewish surnames.U.S. President James Abram Garfield (1831–81) was preceded by at least six Garfields born in America, his immigrant ancestor having come to Massachusetts Bay with John Winthrop in 1630.
Surname or Lastname
English
English : metonymic occupational name for a maker of garlands or chaplets, perhaps also a habitational name from a house sign. The word is first attested in the 14th century, from Old French, and appears to be of Germanic origin.English : habitational name from a minor place, such as Garland in Chulmleigh, Devon, named from Old English gÄra ‘triangular piece of land’ (see Gore) + land ‘cultivated land’, ‘estate’.
Boy/Male
American, British, English
Lives in the Triangular Farm Stead
Boy/Male
English American
From the triangular field. From an Old English surname and place name, meaning 'field of spears'.
Surname or Lastname
English (Kent)
English (Kent) : apparently a habitational name from a lost or unidentified place, possibly so named from Old English gÄra ‘triangular piece of land’ + hÄm ‘homestead’.Born in England, John Gorham emigrated to MA and in 1643 married Desire Howland, daughter of John Howland, who came to America on the Mayflower. His descendant Nathaniel (1738–96) was born in Charlestown, MA, and was one of the signers of the Declaration of Independence.
Surname or Lastname
English
English : habitational name from a lost or unidentified minor place, possibly in East Anglia, where the name is most common, and probably so called from Old English gÄra ‘gore’, ‘triangular piece of land’ + wudu ‘wood’.
Boy/Male
English
From the triangular field.
Male
English
English surname transferred to forename use, possibly originally a habitational name derived from a place named from Old Norse gafl, GABLE means "gable," a term used to denote a "triangular-shaped hill."Â
Boy/Male
British, English
Spear; Wedge-shaped Object; Triangular Shaped Piece of Land
Boy/Male
American, Australian, British, Christian, English, German
Hill Near Meadows; Triangular Hill; Spacious Fort
Boy/Male
American, Anglo, Australian, British, Chinese, Christian, Danish, English, French, German, Irish, Jamaican, Scottish
Hill Near the Meadow; From the Cornered Hill; Triangular Hill; Large Fortification; From the Marshes; One of Scotland's Great Clans; Spacious Fort
Girl/Female
American, Australian, Christian, Greek, Hebrew
Triangular River Mouth; Mouth of a River; Fourth Letter of Greek Alphabet; A Name for a Fourth Child; Fourth Letter of the Greek Alphabet
Boy/Male
African, American, Anglo, Australian, British, Christian, English, Jamaican
Battlefield; Spear Field; Triangular Field
Boy/Male
American, Anglo, Australian, British, Celtic, English, French, Gaelic, Irish, Scottish
Hill Near the Meadow; Triangular Hill; Hero; Large Fortification; Fortress
Boy/Male
Anglo, Australian, British, English, French
From the Cornered Hill; Hill Near Meadows; Triangular Hill
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
Boy/Male
Indian, Telugu
Lord Shiva
Boy/Male
Hindu, Indian, Marathi
A Determined Person
Girl/Female
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Goddess Laxmi
Boy/Male
Tamil
Superior, Unparalleled
Boy/Male
Tamil
New
Boy/Male
Tamil
Dedicating
Male
Egyptian
, an overseer of the gatekeepers of the royal palace.
Boy/Male
Indian
To rejoice, To celebrate, To praise, To bless, Delight, Congratulation, Welcoming, Felicitous
Girl/Female
German, Hawaiian, Hebrew, Spanish
Noble One; Refuge of God; Just; Of the Nobility
Girl/Female
Indian
Messenger of God, Angel
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
TRIANGULAR BILLIARDS
a.
Designating several triangular muscles called scalene muscles.
v. t.
To make triangular, or three-cornered.
n.
A solid having forty-eight equal triangular faces.
a.
Biangular.
a.
Having three angles; triangular.
imp. & p. p.
of Triangulate
n.
A kind of triangular lyre or harp.
adv.
In a triangular manner; in the form of a triangle.
a.
Shaped like the Greek / (delta); delta-shaped; triangular.
n. pl.
The triangular, or maioid, crabs. See Illust. under Maioid, and Illust. of Spider crab, under Spider.
n.
A triangular chisel.
p. pr. & vb. n.
of Triangulate
a.
Oblong or elongated, and having three lateral angles; as, a triangular seed, leaf, or stem.
a.
Nearly, but not perfectly, triangular.
a.
Having three angles; having the form of a triangle.
n.
A kind of triangular spade.
a.
Biangular.
v.
A small traingular piece of land.
v. t.
To divide into triangles; specifically, to survey by means of a series of triangles properly laid down and measured.
n.
The quality or state of being triangular.