Difference between revisions of "Torus"
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Latest revision as of 20:31, 19 August 2016
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
Description
If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
Real-world examples of toroidal objects include inner tubes, swim rings, and the surface of a doughnut or bagel.
A torus should not be confused with a solid torus, which is formed by rotating a disk, rather than a circle, around an axis.
A solid torus is a torus plus the volume inside the torus.
Real-world approximations include doughnuts, vadai or vada, many lifebuoys, and O-rings.
See also
- Algebraic torus
- Angenent torus
- Annulus (mathematics)
- Clifford torus
- Complex torus
- Dupin cyclide
- Elliptic curve
- Irrational cable on a torus
- Joint European Torus
- Klein Bottle
- Loewner's torus inequality
- Maximal torus
- Period lattice
- Real projective plane
- Sphere
- Spiric section
- Surface
- Toric lens
- Toric section
- Toric variety
- Toroid
- Toroidal and poloidal
- Torus-based cryptography
- Torus knot
- Tube torus
- Umbilic torus
- Villarceau circles
External links
- Torus @ Wikipedia
