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Problem in computational geometry
In computational geometry, the largest empty sphere problem is the problem of finding a hypersphere of largest radius in d-dimensional space whose interior
Largest_empty_sphere
In computational geometry, the largest empty rectangle problem, maximal empty rectangle problem or maximum empty rectangle problem, is the problem of
Largest_empty_rectangle
Set of points equidistant from a center
A sphere (from Ancient Greek σφαῖρα (sphaîra) 'ball') is a surface analogous to the circle, a curve. In solid geometry, a sphere is the set of points that
Sphere
Geometry hypothesis
of space to remain empty in its optimal packing structure. This conjecture is therefore related to the Kepler conjecture about sphere packing. Since the
Ulam's_packing_conjecture
Sphere that contains a set of objects
non-empty set of objects of finite extension in d {\displaystyle d} -dimensional space, for example a set of points, a bounding sphere, enclosing sphere or
Bounding_sphere
bounding sphere (Smallest enclosing sphere) 2-D case: Smallest bounding circle Largest empty rectangle (Maximum empty rectangle) Largest empty sphere 2-D case:
List of combinatorial computational geometry topics
List_of_combinatorial_computational_geometry_topics
Optimization problem
Euclidean metric, it is known as the largest empty sphere problem. The planar single-facility case (largest empty circle problem) may be solved in optimal
Optimal_facility_location
Areas historically influenced by Chinese culture
scripts. The Sinosphere, also known as the Chinese cultural sphere, East Asian cultural sphere, or the Sinic world, encompasses multiple countries in East
Sinosphere
2023–2024 concert residency by U2
U2:UV Achtung Baby Live at Sphere was a concert residency by the Irish rock band U2 that took place at Sphere in Paradise, Nevada, in the Las Vegas Valley
U2:UV Achtung Baby Live at Sphere
U2:UV_Achtung_Baby_Live_at_Sphere
thing that prevents some suitably placed sphere from continuously shrinking to a point. Equivalently, it is a sphere that cannot be continuously extended
Homotopical_connectivity
Quadric surface that looks like a deformed sphere
An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation
Ellipsoid
Largest distance between two points
diameter, the planar shape with the largest area is a disk, and the three-dimensional shape with the largest volume is a sphere. The polygons of maximum area
Diameter_of_a_set
Topics referred to by the same term
floating point Unit set, a singleton, a set with exactly 1 element Unit sphere, a sphere with a radius of length 1 Unit square, a square with sides of length
Unit
Shortest network connecting points
number of edges per vertex is bounded by the kissing number of tangent unit spheres. The total length of the edges, for points in a unit square, is at most
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Memorial and museum in New York City
were also placed along the path. The glade opened on May 24, 2019. The Sphere, a monumental cast bronze sculpture by German artist Fritz Koenig, was commissioned
National September 11 Memorial & Museum
National_September_11_Memorial_&_Museum
Distance estimation problems in computational geometry
enclosing sphere: Given N points, find a smallest sphere (circle) enclosing them all Largest empty circle: Given N points in the plane, find a largest circle
Proximity_problems
2022–2025 concert tour by Coldplay
The Music of the Spheres World Tour is the eighth concert tour undertaken by British rock band Coldplay. It is being staged to promote their ninth and
Music of the Spheres World Tour
Music_of_the_Spheres_World_Tour
Property of a mathematical space
surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional
Dimension
Country primarily in North America
Caribbean. It is a megadiverse country, with the world's third-largest land area and third-largest population, exceeding 341 million. Paleo-Indians first migrated
United_States
This is a list of the largest video-capable screens in the world. Jumbotron Scoreboard § Video board animation Holmes, Oliver (6 July 2023). "Las Vegas
List_of_largest_video_screens
Physical interaction of charged particles
that the largest possible deflection will be very small, to the point that the path of the alpha particle passing through the positive sphere of a gold
Coulomb_scattering
Sphere-class cruise ship operated by Princess Cruises
Star Princess is the second Sphere-class cruise ship operated by Princess Cruises, and is the third ship to sail for the cruise line under this name. Star
Star_Princess_(2024)
Country in South America
Republic of Brazil, is the largest country in South America. It is also the world's fifth-largest country by area and the seventh-largest by population, with
Brazil
four-dimensional Poincaré conjecture—that is, whether a four-dimensional topological sphere can have two or more inequivalent smooth structures—is unsolved. The Kourovka
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
social and psychological impact in the economic, political and security spheres were unlikely to fade. The war has precipitated a second major energy crisis
Economic impact of the 2026 Iran war
Economic_impact_of_the_2026_Iran_war
2007 film by Francis Lawrence
underperformed, and the studio's latest experiences with big budget sci-fi movies Sphere and The Postman were negative as well.[page needed] In August 1998, director
I_Am_Legend_(film)
All points and limit points in a subset of a topological space
"subset", "union", "contained in", "largest", and "open". For more on this matter, see closure operator below. Consider a sphere in a 3 dimensional space. Implicitly
Closure_(topology)
Ethnic cleansing of Palestinians
control, exclusionary domination, and systematic discrimination in all spheres of life. The military government, imposed by prime minister and defence
Nakba
International cricket stadium in Ahmedabad, Gujarat, India
India. With a total capacity of 132,000, it is the world's largest cricket stadium and the largest overall stadium in the world by capacity. It is owned by
Narendra_Modi_Stadium
WTC set a 70 short tons (64,000 kilograms) piece of steel into place—the largest column installed yet at the building. Each steel column, made at a factory
Construction of One World Trade Center
Construction_of_One_World_Trade_Center
largest island in modern Thailand, locating in Southern Thailand on the western coast in the Andaman Sea. Historically at the fringe of Thai sphere of
History_of_Phuket
Ugandan Social Media influencer / blogger born 1995 in mbarara town
Chern's conjecture for hypersurfaces in spheres, unsolved as of 2018, is a conjecture proposed by Chern in the field of differential geometry. It originates
Chern's conjecture for hypersurfaces in spheres
Chern's_conjecture_for_hypersurfaces_in_spheres
History and pre-history of the island Timor, prior to 1600s European colonisation
Portuguese in 1642 and 1665. Wehali was now brought inside the Portuguese sphere of power but appears to have had limited contact with its colonial suzerain
Pre-colonial_Timor
Country in West Africa
the Niger and the Benue, which converge and empty into the Niger Delta. This is one of the world's largest river deltas and the location of a large area
Nigeria
utilized the fisheye effect to make the text appear to be wrapped onto a sphere, leaving only part of it readable. The used text was (visible text in bold):
Wikipedia_logo
Societal collapse in the Late Bronze Age
cities, such as Athens, continued to be occupied, but with a more local sphere of influence, limited evidence of trade and an impoverished culture, from
Late_Bronze_Age_collapse
French-born American heiress and philanthropist
property after the 1950s. Clark spent much of her life outside of the public sphere, devoting her time to painting, the arts, and collecting various antiquities
Huguette_Clark
Canadian actor (born 1980)
character that Gosling can't quite nail down, that might simply be outside his sphere, which is idealism." He was nominated for a Golden Globe Award for Best
Ryan_Gosling
Portuguese and Spanish painted tiles
with the armillary sphere, symbol of king Manuel I). The Portuguese adopted the Moorish tradition of horror vacui ('fear of empty spaces') and covered
Azulejo
U.S. state
Silicon Alley, once confined to Manhattan, evolved into a metonym for the sphere encompassing the New York City metropolitan region's high technology and
New_York_(state)
reportedly, some specimens reach up to 14 cm in length, making them among the largest foraminifera extant or extinct. Fusulinids are the earliest lineage of
Protists_in_the_fossil_record
French financial services company
largest cooperative financial institution. In 2025, Crédit Agricole is the tenth-largest bank in the world in terms of assets, and the second-largest
Crédit_Agricole
Horizon appearing on a cosmological scale
cosmologists say "horizon" they almost always mean the particle horizon. In an empty, homogeneous, and isotropic universe the proper distance to the horizon
Cosmological_horizon
All numbers between two given numbers
non-empty interval does not exist, one says that the corresponding endpoint is positive infinity, written + ∞ . {\displaystyle +\infty .} Non-empty intervals
Interval_(mathematics)
Country in northern Europe
million, Sweden is the largest and most populous Nordic country, and is the fifth-largest country in Europe. Its capital and largest city is Stockholm. The
Sweden
Chemical compound
capacity spheres. The spheres have an inside sphere and an outside sphere. Several inches of space separate the inside sphere from the outside sphere. The
Vinyl_chloride
Mathematical space
3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane (a tangent plane) to a small and close enough observer
3-manifold
Lake in Eurasia
Kazakhstan, as they became strategically crucial in this sphere, thus attracting the largest share of foreign direct investment (FDI). All of the countries
Caspian_Sea
Country primarily in Western Europe
forming the Gironde estuary, the largest estuary in Western Europe which after approximately 100 kilometres (62 mi) empties into the Atlantic Ocean. Other
France
Type of mathematical set
{\displaystyle {\mathcal {K}}} is also in K {\displaystyle {\mathcal {K}}} . The non-empty intersection of any two simplices σ 1 , σ 2 ∈ K {\displaystyle \sigma _{1}
Simplicial_complex
dough Dessert: dragon fruit, hazelnut spread, chocolate fondue, ice cream spheres Contestants: Andrew Wagner (eliminated after the appetizer) Mike Andrzejewski
List of Chopped episodes (season 41–present)
List_of_Chopped_episodes_(season_41–present)
Sculpture by Louise Nevelson
The piece evolved through several redesigns before its dedication. The largest work the sculptor had created to date, the wall piece was 32 ft (9.8 m)
Sky_Gate,_New_York
Type of tiling puzzle
logo of Wikipedia is a globe made out of jigsaw pieces. The incomplete sphere symbolizes the room to add new knowledge. In the logo of the Colombian Office
Jigsaw_puzzle
persistent systemic challenge, manifesting in both public and commercial spheres. Despite legislative and institutional anti-corruption initiatives, the
Corruption_in_Kazakhstan
Iran (Reza Shah had leveraged Germany to offset the British and Soviet spheres of influence on Iran) and preempt a possible Axis advance from Turkey through
List of wars involving the United States in the 20th century
List_of_wars_involving_the_United_States_in_the_20th_century
Soviet long-range narrow-body four-engined jet airliner
with over 80 examples exported and others having been leased by Soviet-sphere and several Western airlines. The Il-62M variant became the longest-serving
Ilyushin_Il-62
American multinational technology conglomerate
elevates written clarity over persuasion or hierarchy. Meetings may include an empty chair to represent the customer. Amazon lobbies governments on issues such
Amazon_(company)
Artistic clock in Indianapolis
a siphon -\ You will not see it pull \ 'Til it reaches to the minutes' sphere \ And makes the water flow. At every single hour \ When the minutes' side
Water_clock_(Indianapolis)
Region in spacetime from which nothing can escape
Other distinct types include: The Cauchy and Killing horizons. The photon spheres and ergospheres of the Kerr solution. Particle and cosmological horizons
Event_horizon
Cambodian state from 1979 until 1992
first impulse was to arrange matters diplomatically "within the family sphere". Massacres of ethnic Vietnamese and of their sympathisers, as well as destruction
People's Republic of Kampuchea
People's_Republic_of_Kampuchea
Argentine political coalition
“intends to maintain a normal relationship with Russia” in the commercial sphere.] "El PJ apoya la fórmula Alberto Fernández-Cristina Kirchner: "La unidad
Homeland_Force
Albanian state from 1946 to 1991
links with Albania. In 1964, the Albanians went so far as to seize the empty Soviet embassy in Tirana, and Albanian workers pressed on with construction
People's Socialist Republic of Albania
People's_Socialist_Republic_of_Albania
President of the United States (2017–2021; since 2025)
Presidency: How Donald Trump Uses Wrestling and Theatrical Tactics in the Public Sphere". Rhetoric, Politics and Society: 39–58. doi:10.1007/978-3-030-50551-6_3
Donald_Trump
Client state of Nazi Germany
a one-party state. The state advocated excluding women from the public sphere and politics. While promoting "natural" maternal duties of women, the regime
Slovak_Republic_(1939–1945)
Polish-born Jewish American merchant (1740–1785)
and Institutions, and of Leading Members of the Jewish Community in Every Sphere of Activity. Levytype Company. "Haym Salomon". www.jewishvirtuallibrary
Haym_Salomon
Prime Minister of India since 2014
S2CID 155228179. Mohan, C. Raja (1 June 2015). Modi's World: Expanding India's Sphere of Influence. HarperCollins Publishers India. ISBN 978-93-5177-206-4. Price
Narendra_Modi
Traditionalist Catholic movement
called The New Montinian Church, which explicitly brought into the public sphere views that had previously circulated in private among these nascent groups
Sedevacantism
Capital and largest city of Austria
municipium with Roman city rights in 212. This was followed by a time in the sphere of influence of the Lombards and later the Pannonian Avars, when Slavs formed
Vienna
Irish rock band
and began the U2:UV Achtung Baby Live concert residency to inaugurate Sphere in the Las Vegas Valley. U2 have released 15 studio albums and are one of
U2
Allied prisoners of war in many parts of the Greater East Asia Co-Prosperity Sphere. In September 1942, Japanese daily rations in New Guinea consisted of 800 grams
List of incidents of cannibalism
List_of_incidents_of_cannibalism
2019 film by Martin Scorsese
Sheeran is to drive him over there. Entering the house, Hoffa realizes it is empty and that he has been set up. He turns around to leave, at which point Sheeran
The_Irishman
"Entheos return with crushing new single "Golden Crown," announce album Empty on the Inside". Metal Injection. Retrieved July 17, 2026. Pappis, Konstantinos
List_of_2026_albums
Ancient sculptures in Sardinia (Italy)
excavations. Once recomposed, some of these horns appear to bear small spheres at their terminal ends, like in some bronzetti, either anthropomorphic
Giants_of_Mont'e_Prama
Main-belt asteroid
obs. Retrieved 11 May 2016. P. Vernazza et al. (2021) VLT/SPHERE imaging survey of the largest main-belt asteroids: Final results and synthesis. Astronomy
324_Bamberga
consisting of its faces, together with the smallest element, the empty face, and the largest element, the polytope itself, is an Eulerian lattice. The odd–even
Eulerian_poset
Abstract strategy board game for two players
capturing territory: that is, occupying and surrounding a larger total empty area of the board with one's stones than the opponent. As the game progresses
Go_(game)
Town in Kemerovo Oblast, Russia
in the huge terrain have defined a large number of objects of the social sphere (more than 240 entities). Among them - 41 secondary schools and 5 evening
Belovo,_Kemerovo_Oblast
South Korean rapper (born 1994)
합류...랩몬 공석 채운다 [Block B Park Kyung joins Problematic Men "I'll fill the empty Rap Mon seat"]. OSEN (in Korean). Archived from the original on May 9, 2020
RM_(musician)
2001 terror attacks in the U.S.
museum also opened on site in May 2014. The Sphere by the German sculptor Fritz Koenig is the world's largest bronze sculpture of modern times, and stood
September_11_attacks
Phase since 2022 of war ongoing since 2014
On 24 February 2022, Russia invaded Ukraine, starting the largest and deadliest war in Europe since World War II, in a major escalation of the existing
Russo-Ukrainian war (2022–present)
Russo-Ukrainian_war_(2022–present)
City in Chelyabinsk Oblast, Russia
difficulties in the areas of ecology, economic spheres, and urban improvement. Nevertheless, it is one of the largest industrial centers of the Urals, where industry
Chelyabinsk
Kerkopes attacked the ship and robbed it, taking things like an Archimedes Sphere and Piper's dagger Katoptris. Leo and Jason chase them and at the Fountain
List of characters in mythology novels by Rick Riordan
List_of_characters_in_mythology_novels_by_Rick_Riordan
Experiments proving existence of atomic nuclei
that the largest possible deflection will be very small, to the point that the path of the alpha particle passing through the positive sphere of a gold
Rutherford scattering experiments
Rutherford_scattering_experiments
U.S. presidential administration since 2025
imploding, squeezed on all sides by the return of strongmen, nationalism and spheres of influence — with President Trump leading the charge. ... Trump's approach
Second presidency of Donald Trump
Second_presidency_of_Donald_Trump
President of Pakistan (2008–2013; since 2024)
than $1.5 billion in illicit profits through kickbacks in virtually every sphere of government activity. It also reported Zardari's mid-1990s spending spree
Asif_Ali_Zardari
States of matter for water as a solid
−153 °C; −262 and −244 °F), after about two hours, the structure will have emptied itself of any detectable hydrogen molecules. The resulting form is metastable
Phases_of_ice
sculpture was the subject of the 2001 documentary Koenig's Sphere. Since then, the bronze sphere has become a memorial for the attacks. The sculpture was
Artwork at the World Trade Center (1973–2001)
Artwork_at_the_World_Trade_Center_(1973–2001)
1989–1991 unification process of Germany
Eastern European communist rulers had suffered a loss of power in their own sphere, and that they were no longer in control of events: "Habsburg distributed
German_reunification
Country in Central Europe
territories into Poland's sphere of influence and proved beneficial for its inhabitants, who coexisted in one of the largest European political entities
Poland
1959 unsolved deaths in the Soviet Union
reported that they saw strange orange spheres in the sky to the north on the night of the incident. Similar spheres were observed in Ivdel and adjacent
Dyatlov_Pass_incident
Passage of an object through the gases of an atmosphere from outer space
vehicles: The simplest axisymmetric shape is the sphere or spherical section. This can either be a complete sphere or a spherical section forebody with a converging
Atmospheric_entry
History and future of the universe
the galaxies currently visible started in a sphere with a radius around 4×10−29 m, then grew to a sphere with a radius around 0.9m by the end of inflation
Chronology_of_the_universe
Hypothetical former Solar System planet
in 1801 by the Italian Giuseppe Piazzi and found to closely match the "empty" position in Titius' sequence, which led many[who?] to believe it to be
Phaeton_(hypothetical_planet)
Indian religion and philosophy
particularly the meditative attainment of "the sphere of nothingness" from the former and "the sphere of neither perception nor non-perception" from the
Buddhism
Large asteroid in the asteroid belt
2013.01.010. S2CID 119286695. P. Vernazza et al. (2021) VLT/SPHERE imaging survey of the largest main-belt asteroids: Final results and synthesis. Astronomy
52_Europa
Analyzes the topology of a manifold by studying differentiable functions on that manifold
studied by Georges Reeb in 1952; the Reeb sphere theorem states that M {\displaystyle M} is homeomorphic to a sphere S n . {\displaystyle S^{n}.} The case
Morse_theory
Building in Manhattan, New York
entrance has been replaced with a double-height brick column with a brownstone sphere. Above it is one of the Puck statues. which holds a mirror, pen, and book
Puck_Building
Disputed territory in north-western Africa
European colonial powers at the Berlin Conference in 1884 on the division of spheres of influence in Africa, the same year Spain seized control of Western Sahara
Western_Sahara
Offensive spearheaded by the Syrian government
in January 2025, the United States accepted Syria as part of a Turkish sphere of influence, while Trump renewed efforts to withdraw US troops from the
2026 northeastern Syria offensive
2026_northeastern_Syria_offensive
Japanese author and coup attempt leader (1925–1970)
ISBN 979-10-370-4409-9, retrieved 29 April 2026 {{citation}}: Missing or empty |title= (help) Eiji, Oguma; Kapur, Nick; Malissa, Samuel; Poland, Stephen
Yukio_Mishima
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE
LARGEST EMPTY-SPHERE