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Toroidal describes something which resembles or relates to a
torus In geometry, a torus (: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanarity, coplanar with the circle. The main types of toruses inclu ...
or
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 ...
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Mathematics

* Toroidal coordinates, a three-dimensional orthogonal coordinate system * Toroidal and poloidal coordinates, directions for a three-dimensional system which follows a circular ring around the surface * Toroidal graph, a graph whose vertices can be placed on a torus such that no edges cross *Toroidal grid network, an n-dimensional grid connected circularly in more than one dimension *
Toroidal polyhedron In geometry, a toroidal polyhedron is a polyhedron which is also a toroid (a -holed torus), having a topology (Mathematics), topological Genus (mathematics), genus () of 1 or greater. Notable examples include the Császár polyhedron, Császár a ...
, partition of a toroidal surface into polygons


Engineering

* Toroidal engine, an internal combustion engine with pistons that rotate inside a ring-shaped cylinder *
Toroidal expansion joint A Toroidal expansion joint is a metallic assembly that consists of a series of toroidal convolutions which are circular tubes wrapped around pipe ends or weld ends and have a gap at the inside diameter to allow for axial stroke while absorbing chan ...
, a metallic assembly consisting of a series of circular tubes used in high pressure applications *
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 passivity (engineering), passive electronic components, consisting of a circular ring or donut shaped ...
, a type of electrical device using magnetic cores with a ring or donut shape *
Toroidal propeller A toroidal propeller is a type of propeller that is ring-shaped with each blade forming a closed loop. The propellers are significantly quieter at audible frequency ranges, between 20  Hz and 20 kHz, while generating comparable thru ...
, a loop-shaped propeller used in aviation and maritime transport * Toroidal reflector, a reflector whose surface is a section of a torus which has a different focal distance depending on the angle of the mirror


Other uses

* Toroidal planet, planet in the shape of a toroidal or doughnut shape * Toroidal ring model in theoretical physics * Toroidal solenoid, 1946 design for a fusion power device * Vortex ring, 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 t ...
*
Torus (disambiguation) A torus, pl. tori, is a type of surface. Torus may also refer to: Music *Torus (album), ''Torus'' (album), a 2013 album by Sub Focus *''Torus'', a 2017 EP by Masami Akita discography, Merzbow (Masami Akita) Science and technology Architec ...
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