Toroidal describes something which resembles or relates to a torus or toroid:
Mathematics
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Torus
In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.
If the axis of revolution does not ...
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Toroid
In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. For example, when a rectangle is rotated around an axis parallel to one of its ...
, a surface of revolution which resembles a torus
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Toroidal polyhedron
In geometry, a toroidal polyhedron is a polyhedron which is also a toroid (a -holed torus), having a topological genus () of 1 or greater. Notable examples include the Császár and Szilassi polyhedra.
Variations in definition
Toroidal polyh ...
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Toroidal coordinates
Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci F_1 and F_2 in bipolar coordinate ...
, a three-dimensional orthogonal coordinate system
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Toroidal and poloidal coordinates
The terms toroidal and poloidal refer to directions relative to a torus of reference. They describe a three-dimensional coordinate system in which the poloidal direction follows a small circular ring around the surface, while the toroidal direc ...
, directions relative to a torus of reference
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Toroidal graph
In the mathematical field of graph theory, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices can be placed on a torus such that no edges cross.
Examples
Any graph that can be embedded in a plane ...
, a graph whose vertices can be placed on a torus such that no edges cross
*Toroidal
grid network
Elex Media Komputindo is a publishing company in Indonesia which publishes books, comics, magazines, novels and other print media. Established on January 15, 1985, Elex Media Komputindo is a subsidiary of Kompas Gramedia Group. Elex is headquarte ...
, where an n-dimensional grid network is connected circularly in more than one dimension
Engineering
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Toroidal inductors and transformers
Toroidal inductors and transformers are inductors and transformers which use magnetic cores with a toroidal (ring or donut) shape. They are passive electronic components, consisting of a circular ring or donut shaped magnetic core of ferromag ...
, a type of electrical device
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Toroidal and poloidal
Toroidal describes something which resembles or relates to a torus or toroid:
Mathematics
*Torus
*Toroid, a surface of revolution which resembles a torus
*Toroidal polyhedron
* Toroidal coordinates, a three-dimensional orthogonal coordinate syste ...
, directions in magnetohydrodynamics
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Toroidal engine
A swing-piston engine is a type of internal combustion engine in which the pistons move in a circular motion inside a ring-shaped "cylinder", moving closer and further from each other to provide compression and expansion. Generally two sets of pist ...
, an internal combustion engine with pistons that rotate within a toroidal space
*Toroidal CVT, a
type of continuously variable transmission
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Toroidal reflector
A toroidal mirror is a reflector whose surface is a section of a torus, defined by two radii of curvature. Such reflectors are easier to manufacture than mirrors with a surface described by a paraboloid or ellipsoid. They suffer from spherical aber ...
, a parabolic reflector which has a different focal distance depending on the angle of the mirror
Other uses
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Toroidal ring model
The toroidal ring model, known originally as the Parson magneton or magnetic electron, is a physical model of subatomic particles. It is also known as the plasmoid ring, vortex ring, or helicon ring. This physical model treated electrons and ...
in theoretical physics
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Vortex ring
A vortex ring, also called a toroidal vortex, is a torus-shaped vortex in a fluid; that is, a region where the fluid mostly spins around an imaginary axis line that forms a closed loop. The dominant flow in a vortex ring is said to be toroidal, ...
, also known as a toroidal vortex; a toroidal flow in fluid mechanics
See also
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Atoroidal In mathematics, an atoroidal 3-manifold is one that does not contain an essential torus.
There are two major variations in this terminology: an essential torus may be defined geometrically, as an embedded, non-boundary parallel, incompressible tor ...
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Torus (disambiguation)
A torus, pl. tori, is a type of surface.
Torus may also refer to:
Music
* ''Torus'' (album), a 2013 album by Sub Focus
*''Torus'', a 2017 EP by Merzbow (Masami Akita)
Science and technology
Architecture
* A semicircular molding – se ...
{{Disambiguation