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Doughnut-shaped surface of revolution
is called a torus of revolution, also known as a ring torus. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis
Torus
Topics referred to by the same term
Look up torus in Wiktionary, the free dictionary. A torus, pl. tori, is a type of surface. Torus may also refer to: Torus (album), a 2013 album by Sub
Torus_(disambiguation)
Proposed NASA design for space habitat
proposed his Island One or Bernal sphere as an alternative to the torus). "Stanford torus" refers only to this particular version of the design, as the concept
Stanford_torus
geometry, a torus action on an algebraic variety is a group action of an algebraic torus on the variety. A variety equipped with an action of a torus T is called
Torus_action
Maximal compact connected Abelian Lie subgroup
Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a compact Lie group G is a compact, connected
Maximal_torus
Cartesian product of 3 circles
The three-dimensional torus, or 3-torus, is defined as any topological space that is homeomorphic to the Cartesian product of three circles, T 3 = S 1
3-torus
Geometrical object in four-dimensional space
In differential geometry, the Clifford torus is the standard embedding of the 2-torus as a product of circles in Euclidean space R4 (equivalently C2).
Clifford_torus
Knot which lies on the surface of a torus in 3-dimensional space
In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies
Torus_knot
Magnetic confinement device used to produce thermonuclear fusion power
magnetic field inside the torus; a pulsed magnetic field through the hole in the torus induces the axial current in the torus which has a poloidal magnetic
Tokamak
Torus fusion (tofu) is a proprietary computer network topology for supercomputers developed by Fujitsu. It is a variant of the torus interconnect. The
Torus_fusion
Medical condition
Torus mandibularis is a bony growth in the mandible along the surface nearest to the tongue. Mandibular tori usually are present near the premolars and
Torus_mandibularis
Toroidal cloud of gas or plasma around a planet
Europa although such a torus would be merged with the outer portions of an Io torus. Other examples include the largely neutral torus of oxygen and hydrogen
Gas_torus
3-dimensional object
torus. A solid torus is a torus plus the region inside the torus, with a non-zero volume. Real-world objects that approximate a solid torus include O-rings
Solid_torus
In differential geometry, a Wente torus is an immersed torus in R 3 {\displaystyle \mathbb {R} ^{3}} of constant mean curvature, discovered by Henry C
Wente_torus
three-manifolds. To obtain a torus bundle: let f {\displaystyle f} be an orientation-preserving homeomorphism of the two-dimensional torus T {\displaystyle T}
Torus_bundle
Medical condition
A torus palatinus (pl.: tori palatini), or palatal torus (pl.: palatal tori), is a bony protrusion on the palate. Palatal tori are usually present on the
Torus_palatinus
the torus semicircularis among birds and mammals to a common reptile predecessor. Fay, R.R.; Edds-Walton, P.L (2001). "Bimodal Units in the Torus Semicircularis
Torus_semicircularis
Common type of fracture in children
itself is orthogonal to that axis. The word "torus" originates from the Latin word "protuberance." Torus fractures are low risk and may cause acute pain
Torus_fracture
Elevated mucous membrane in the nasopharynx
The torus tubarius (or torus of the auditory tube) is an elevation of the mucous membrane of the nasal part of the pharynx formed by the underlying base
Torus_tubarius
Type of geometry for connecting computer nodes
A torus interconnect is a switch-less network topology for connecting processing nodes in a parallel computer system. In geometry, a torus is created by
Torus_interconnect
Torus (officially Torus62 Ltd, a Community Benefit Society no 7973) is a housing association in North West England. Torus is the parent organisation of
Torus_(housing_association)
Topics referred to by the same term
TORU or Toru may refer to: TORU, spacecraft system Tōru (given name), Japanese male given name Toru, Pakistan, village in Mardan District of Khyber-Pakhtunkhwa
Toru
Specific algebraic group
In mathematics, an algebraic torus, where a one dimensional torus is typically denoted by G m {\displaystyle \mathbf {G} _{\mathbf {m} }} , G m {\displaystyle
Algebraic_torus
algebra of continuous functions on the 2-torus. Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative
Noncommutative_torus
Defunct Australian video game developer
business. Torus has developed over 145 titles. The company is most known for family action/adventure games, based on well-known licenses. Torus began developing
Torus_Games
Smooth closed surface with g holes
In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g distinct tori: the interior
Genus_g_surface
Three-dimensional shape
forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of
Umbilic_torus
Disorder of the jaw
An oral torus - also known as: dental torus - is an oral condition in which bony growth occurs in the mouth; there are three locations in which oral tori
Oral_torus
In mathematics, specifically in topology, the mapping torus of a homeomorphism f of some topological space X to itself is a particular geometric construction
Mapping_torus
Non-orientable mathematical surface
image of the other, yield a fundamental region of the torus. The universal cover of both the torus and the Klein bottle is the plane R2. The fundamental
Klein_bottle
Bony ridge located above the eye sockets of all primates
paleoanthropologists distinguish between frontal torus and supraorbital ridge. In anatomy, a torus is a projecting shelf of bone that unlike a ridge
Brow_ridge
known as dynamical systems theory, a linear flow on the torus is a flow on the n-dimensional torus T n = S 1 × S 1 × ⋯ × S 1 ⏟ n , {\displaystyle \mathbb
Linear_flow_on_the_torus
Surface of revolution with a hole in the middle
surface of a torus having a topological genus, g, of 1 or greater. The Euler characteristic χ of a g holed toroid is 2(1−g). The torus is an example
Toroid
Simplest non-trivial closed knot with three crossings
3t\end{aligned}}} The (2,3)-torus knot is also a trefoil knot. The following parametric equations give a (2,3)-torus knot lying on torus ( r − 2 ) 2 + z 2 = 1
Trefoil_knot
mechanics, a vague torus is a region in phase space that is characterized by approximate constants of motion, as opposed to an actual torus defined by exact
Vague_torus
by Radars and UAS of Supercells Project, often shorted to the TORUS Project or just TORUS, is a United States federal government funded meteorological
TORUS_Project
2013 studio album by Sub Focus
Focus on Torus". XFM. "Exclusive: Sub Focus reveals 'Torus' tracklist". Mixmag. 19 August 2013. Retrieved 20 August 2013. "iTunes - Music - Torus (Deluxe
Torus_(album)
Type of lens
ring torus is produced. If R = r, a horn torus is produced, where the opening is contracted into a single point. R < r results in a spindle torus, where
Toric_lens
In differential geometry, the Angenent torus is a smooth embedding of the torus into three-dimensional Euclidean space, with the property that it remains
Angenent_torus
Result in dynamical systems
invariant d {\displaystyle d} -torus T d {\displaystyle {\mathcal {T}}^{d}} ( d ≥ 2 {\displaystyle d\geq 2} ) is called a KAM torus. The d = 1 {\displaystyle
Kolmogorov–Arnold–Moser theorem
Kolmogorov–Arnold–Moser_theorem
and therefore transmitting fewer bits. Torus Rubin, Karl; Silverberg, Alice (2003). Boneh, Dan (ed.). "Torus-Based Cryptography". Advances in Cryptology
Torus-based_cryptography
Prominent bulge of the occipital bone at the back of the skull
Asturians and Basques. Although the terms occipital bun and occipital torus (torus occipitale), as well as all the other names used in this article, are
Occipital_bun
Method of describing higher-order polyhedra
square torus, {4,4}1,0 A regular 4x4 square torus, {4,4}4,0 tQ24×12 projected to torus taQ24×12 projected to torus actQ24×8 projected to torus tH24×12
Conway_polyhedron_notation
Class of magnetic fusion energy devices
bumpy torus is a class of magnetic fusion energy devices that consist of a series of magnetic mirrors connected end-to-end to form a closed torus. It is
Bumpy_torus
Type of mathematical knot
an incompressible, non boundary-parallel torus in its complement. Every knot is either hyperbolic, a torus, or a satellite knot. The class of satellite
Satellite_knot
A parabolic torus reflector antenna is a quasi-parabolic antenna, where the defining parabola is not rotated around the main transmission axis, but around
Parabolic torus reflector antenna
Parabolic_torus_reflector_antenna
Intersection of a torus and a plane
circles produced by cutting a torus obliquely through its center at a special angle. Given an arbitrary point on a torus, four circles can be drawn through
Villarceau_circles
Graph able to be embedded on a torus
is a graph that can be embedded on a torus. In other words, the graph's vertices and edges can be placed on a torus such that no edges intersect except
Toroidal_graph
Array containing every possible matrix of size m × n
smallest possible binary "square" de Bruijn torus, depicted above right, denoted as (4,4;2,2)2 de Bruijn torus (or simply as B2), contains all 2×2 binary
De_Bruijn_torus
tori, along a 2-torus: see Clifford torus. Each of the solid tori is then foliated internally, in codimension 1, and the dividing torus surface forms one
Reeb_foliation
Basketball team in Skopje, North Macedonia
the season 2011/2012. The club was founded on 25 May 1999. Name: KK Torus, KK Torus-SC Boris Trajkovski Macedonian Cup Finalist - 2010 Macedonian Cup Semifinals
KK_Torus
Simple curve of Euclidean geometry
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of
Circle
Algebraic variety containing an algebraic torus
algebraic geometry, a toric variety or torus embedding is a kind of algebraic variety that contains an algebraic torus whose group action extends to the whole
Toric_variety
Moment of inertia of diff geometric shapes
{\displaystyle I_{x}=I_{y}={\frac {1}{2}}mr^{2}\,\!} This is a special case of a torus for a = 0 (see below), as well as of a thick-walled cylindrical tube with
List_of_moments_of_inertia
Japanese adult videos director
Toru Muranishi (村西とおる, Muranishi Tōru; born 9 September 1948) is an innovative and controversial director of Japanese adult videos (AV). Known in Japan
Toru_Muranishi
Non-trivial knot which cannot be written as the knot sum of two non-trivial knots
family of examples of prime knots are the torus knots. These are formed by wrapping a circle around a torus p times in one direction and q times in the
Prime_knot
Kind of two-dimensional surface
geometry, a pinched torus (or croissant surface) is a kind of two-dimensional surface. It gets its name from its resemblance to a torus that has been pinched
Pinched_torus
Musical artist
Toru Kitajima (Japanese: 北嶋 徹, Hepburn: Kitajima Tōru; born December 23, 1982 in Machida, Tokyo), better known as TK, is a Japanese musician and singer-songwriter
Toru_Kitajima
Pathological embedding of the sphere in 3D space
standard torus: Remove a radial slice of the torus. Connect a standard punctured torus to each side of the cut, interlinked with the torus on the other
Alexander_horned_sphere
Species of butterfly
Erionota torus, also known as the rounded palm-redeye, Sikkim palm dart, Sikkim palm red-eye and banana skipper, is a species of butterfly of the family
Erionota_torus
Kind of complex manifold
In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense (i.e. the cartesian
Complex_torus
Feature of plant cell walls
In other vascular plants, the torus is rare. The pit membrane is separated into two parts: a thick impermeable torus at the center of the pit membrane
Pit_(botany)
Magnetic field around the Jovian system
large torus around the planet. Jupiter's magnetic field forces the torus to rotate with the same angular velocity and direction as the planet. The torus in
Magnetosphere_of_Jupiter
Fusion research facility in Oxford, United Kingdom
the Torus Hall. The Hall was completed in January 1982 and construction of the JET machine itself began immediately after the completion of the Torus Hall
Joint_European_Torus
Loewner's torus inequality is an inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus. In
Loewner's_torus_inequality
Type of motion that is approximately periodic
motion on a torus that never comes back to the same point. This behavior can also be called quasiperiodic evolution, dynamics, or flow. The torus may be a
Quasiperiodic_motion
Coordinate system relative to a torus
The terms toroidal and poloidal refer to directions relative to a torus of reference. They describe a three-dimensional coordinate system in which the
Toroidal and poloidal coordinates
Toroidal_and_poloidal_coordinates
Binary star in the constellation Dorado
Telescope (VLT) showed that WOH G64 is surrounded by a torus-shaped cloud. In 2024, the dusty torus around WOH G64 was directly imaged by VLTI, showing the
WOH_G64
Planet in the shape of a toroidal or doughnut shape
megastructure in self-suspension, such as a Dyson sphere, ringworld, Stanford torus or Bishop Ring. At sufficiently large enough scales, rigid matter such as
Toroidal_planet
topologically the torus, is a Lorentz surface that is called the Clifton–Pohl torus. Sometimes, by extension, a surface is called a Clifton–Pohl torus if it is
Clifton–Pohl_torus
Mapping which preserves all topological properties of a given space
square and a circle are homeomorphic to each other, but a sphere and a torus are not. However, this description can be misleading. Some continuous deformations
Homeomorphism
Japanese video game designer (born 1955)
Tōru Iwatani (岩谷 徹, Iwatani Tōru; born January 25, 1955) is a Japanese video game designer who spent much of his career working for Namco. He is best known
Tōru_Iwatani
Topics referred to by the same term
dictionary. Toroidal describes something which resembles or relates to a torus or toroid: Toroidal coordinates, a three-dimensional orthogonal coordinate
Toroidal
Three dimensional analogue of uniformization conjecture
the mapping torus of an Anosov map of a torus has a finite volume solv structure, but its JSJ decomposition cuts it open along one torus to produce a
Geometrization_conjecture
1986 nuclear accident in the Soviet Union
Archived from the original on 20 April 2015. Retrieved 21 April 2015. Kitagaki, Toru; Krasnov, Viktor A.; Ikeda-Ohno, Atsushi (2023). "Aging of fuel-containing
Chernobyl_disaster
Japanese composer and writer (1930–1996)
Tōru Takemitsu (武満 徹; pronounced [takeꜜmitsɯ̥ toːɾɯ]; 8 October 1930 – 20 February 1996) was a Japanese composer of contemporary classical music and writer
Tōru_Takemitsu
American finance author and investor (born 1947)
Robert Toru Kiyosaki (born April 8, 1947) is an American businessman, entrepreneur, and author, known for the Rich Dad Poor Dad series of personal finance
Robert_Kiyosaki
1945 attacks in Japan during WWII
Archived from the original on 19 April 2018. Retrieved 30 August 2010. Kato, Toru (4 June 1999). "A Short-Sighted Parrot". Geocities.jp. Archived from the
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
Mathematical object
In mathematics, a protorus is a compact connected topological abelian group. Equivalently, it is a projective limit of tori (products of a finite number
Protorus
Mathematical object
is from σπειρα meaning "torus" in ancient Greek. A spiric section is sometimes defined as the curve of intersection of a torus and a plane parallel to
Spiric_section
Country in Southeast Asia
the original on 6 November 2013. Retrieved 26 November 2012. Takahashi, Toru (27 November 2014). "Thailand's love affair with the pickup truck". Nikkei
Thailand
Japanese film director and screenwriter
Makura Saki (崎枕, Saki Makura), Kan Matsudo (松戸完, Matsudo Kan), Toru Yabuki (矢吹徹, Yabuki Toru) or Kuyou Sai (斉九洋, Sai Kuyou), was a Japanese anime director
Osamu_Dezaki
Restricts the possible topology of a negatively curved compact Riemannian manifold
abelian. As an example, Preissmann's theorem implies that the n-dimensional torus admits no Riemannian metric of strictly negative sectional curvature. More
Preissmann's_theorem
Second planet from the Sun
George L.; Horinouchi, Takeshi; Imamura, Takeshi; Iwagaimi, Naomoto; Kouyama, Toru; Murakami, Shin-ya; Nakamura, Masato; Ogohara, Kazunori; Sato, Mitsuteru;
Venus
Algebraic structure associated with a topological space
The torus is defined as a product of two circles T 2 = S 1 × S 1 {\displaystyle T^{2}=S^{1}\times S^{1}} . The torus has a single path-connected
Homology_(mathematics)
One-dimensional complex manifold
topology can be quite different. For example, they can look like a sphere or a torus or several sheets glued together. Examples of Riemann surfaces include graphs
Riemann_surface
Bengali poet and translator (1856–1877)
Tarulatta Datta, popularly known as Toru Dutt (Bengali: তরু দত্ত; 4 March 1856 – 30 August 1877) was an Indian Bengali poet and translator from British
Toru_Dutt
Electricity generation by nuclear fusion
approach. This method drives hot plasma around in a magnetically confined torus, with an internal electric current. When completed, ITER will become the
Fusion_power
Open 3-manifold that is contractible but not homeomorphic to R3
sphere. Now find a compact unknotted solid torus T 1 {\displaystyle T_{1}} inside the sphere. (A solid torus is the topological space S 1 × D 2 {\displaystyle
Whitehead_manifold
Association football tournament in Russia
Arab Emirates) Hasan Al Mahri (United Arab Emirates) Ryuji Sato (Japan) Toru Sagara (Japan) Hiroshi Yamauchi (Japan) Nawaf Shukralla (Bahrain) Yaser Tulefat
2018_FIFA_World_Cup
Japanese baseball player (born 1994)
Japan, to Kayoko and Toru Ohtani. His mother Kayoko was a national-level badminton player in high school and his father Tōru (徹), who worked at a local
Shohei_Ohtani
invariance under the group such as SL(2,Z) of large diffeomorphisms of the torus. The name comes from the classical name modular group of this group, as
Modular_invariance
Chaotic map from the torus into itself
cover the torus. Arnold's cat map is a particularly well-known example of a hyperbolic toral automorphism, which is an automorphism of a torus given by
Arnold's_cat_map
Japanese film actor
Tōru Abe (安部 徹, Abe Tōru; 28 March 1917 – 18 July 1993) was a Japanese film actor. He appeared in more than 100 films from 1944 to 1985. The Bridge on
Tōru_Abe
English DJ and music producer (born 1982)
The sixth single from Torus, "Turn Back Time", slowly climbed the UK Singles Chart to number 10. The next single from Torus, a new version of "Close"
Sub_Focus
Japanese voice actor (born 1953)
Tōru Furuya (古谷 徹, Furuya Tōru; born July 31, 1953, in Yokohama, Kanagawa Prefecture) is a Japanese actor and narrator. As a child, he was a member of
Tōru_Furuya
1995 terrorist attack by Aum Shinrikyo
resulted in no fatalities, but over 200 people were left in serious condition. Toru Toyoda and his driver Katsuya Takahashi were assigned to release sarin on
Tokyo_subway_sarin_attack
Japanese mathematics educator (1914–1995)
Toru Kumon (公文 公, Kumon Tōru; March 26, 1914 – July 25, 1995) was a Japanese mathematics educator. He was born in Kōchi Prefecture, Japan. He graduated
Toru_Kumon
Japanese manga artist
Tōru Fujisawa (藤沢 とおる, Fujisawa Tōru; born 1967) is a Japanese manga artist. His name is romanized as Tohru Fujisawa on the Tokyopop English-language Great
Tōru_Fujisawa
Japanese footballer
Toru Kaburagi (鏑木 享, Kaburagi Toru; born April 18, 1976) is a former Japanese football player. Kaburagi was born in Omitama on April 18, 1976. After graduating
Toru_Kaburagi
TORUS
TORUS
TORUS
TORUS
Boy/Male
Hebrew Biblical
Rock.
Male
Croatian
, Bel's prince.
Female
Egyptian
, the daughter of lady Tarot-en-pasht.
Girl/Female
Muslim
Pearl, Ruby, Name of a precious stone
Boy/Male
Irish
Brave; misfortune.
Boy/Male
Arabic, Muslim
One who Asks for Help
Boy/Male
Anglo, British, English
Forester; From the Woods Warden
Boy/Male
Australian, Latin, Portuguese, Spanish
Boy; Lad; Frenchman; Spanish Abbreviation of Ezekiel
Boy/Male
Arabic, Australian
Handsome
Surname or Lastname
English (of Norman origin) and French
English (of Norman origin) and French : nickname for a soldier or for a belligerent person, from Old French (de la) werre, (de la) guerre ‘(of the) war’. Compare Warr.English : habitational name from Delaware in Brasted, Kent, named with Old English wer ‘weir’.
TORUS
TORUS
TORUS
TORUS
TORUS
n.
The receptacle, or part of the flower on which the carpels stand.
n.
A lage molding used in the bases of columns. Its profile is semicircular. See Illust. of Molding.
n.
Same as Torus.
n.
See 3d Tore, 2.
n.
A molding, the convexity of which is one fourth of a circle, being a member just below the abacus in the Tuscan and Roman Doric capital; a torus; an ovolo.
n.
The receptacle of a flower; a torus.
n.
A torus.
pl.
of Torus
n.
One of the ventral parapodia of tubicolous annelids. It usually has the form of an oblong thickening or elevation of the integument with rows of uncini or hooks along the center. See Illust. under Tubicolae.