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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
and therefore transmitting fewer bits. Torus Rubin, Karl; Silverberg, Alice (2003). Boneh, Dan (ed.). "Torus-Based Cryptography". Advances in Cryptology
Torus-based_cryptography
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
New energy suppression
Foster. "The Torus". Thrive. Clear Compass Media. Retrieved 26 September 2013. The torus, the fundamental energy pattern... Each individual's torus is distinct
Free energy suppression conspiracy theory
Free_energy_suppression_conspiracy_theory
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
Mathematical knot with crossing number 7
septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil
71_knot
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
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
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
Local and global geometry of the universe
topological characteristics. For example; a multiply connected space like a 3 torus has everywhere zero curvature but is finite in extent, whereas a flat simply
Shape_of_the_universe
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
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 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
Innermost Galilean moon of Jupiter
occasionally provides sodium ions in the plasma torus with an electron, removing those new "fast" neutrals from the torus. These particles retain their velocity
Io_(moon)
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
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)
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
Branch of string theory
to obtain an acceptable background is to compactify this theory on a two-torus. By doing so, one obtains type IIB superstring theory in 10 dimensions.
F-theory
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
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
Japanese actor and theater director (born 1944)
Tōru Emori (江守 徹, Emori Tōru; born Tetsuo Kato (加藤 徹夫); 25 January 1944) is a Japanese actor, voice actor, and theater director. He has appeared in more
Tōru_Emori
Japanese musician (born 1988)
Toru Yamashita (Japanese: 山下 亨, Hepburn: Yamashita Tōru; born December 7, 1988, in Osaka), better known by his stage name Toru, is the guitarist and leader
Toru_Yamashita
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
Subgroup of a root system's isometry group
given a torus T < G (which need not be maximal), the Weyl group with respect to that torus is defined as the quotient of the normalizer of the torus N = N(T)
Weyl_group
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
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
Plasma device using external magnets to confine plasma
His approach was to modify the torus' geometric layout to address Fermi's concerns. By twisting one end of the torus compared to the other, forming a
Stellarator
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
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
TORUS
TORUS
TORUS
TORUS
Boy/Male
German Biblical
Home or House Ruler.
Girl/Female
Latin
Feminine of Emeliano.
Girl/Female
Hindu
Fragrant, Jasmine, Gardener, Another name for Durga and the ganges, A garland maker
Boy/Male
Tamil
Vaishvik | வைஷà¯à®µà®¿à®•
Belonging to the world
Boy/Male
Australian, Danish, French
Fox
Girl/Female
Indian
The bow or name of a Hindu Rashi sagittarius
Girl/Female
Hindu, Indian, Telugu
Moon; Lord Krishna
Boy/Male
Australian, British, Celtic, Christian, English, Gaelic
Teal Duck; Sowing; Fruitful; Seed Bearing; Producing Many Offspring
Boy/Male
Hindu, Indian
Goddess Bhavani
Male
Turkish
Turkish name BERK means "solid, strong."Â
TORUS
TORUS
TORUS
TORUS
TORUS
n.
A lage molding used in the bases of columns. Its profile is semicircular. See Illust. of Molding.
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.
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.
n.
See 3d Tore, 2.
n.
Same as Torus.
n.
The receptacle, or part of the flower on which the carpels stand.
n.
A torus.