Torus

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. 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 (approximately) 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.

In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S¹ × S¹, and the latter is taken to be the definition in that context. It is a compact 2-manifold of genus 1. The ring torus is one way to embed this space into three-dimensional Euclidean space, but another way to do this is the Cartesian product of the embedding of S¹ in the plane. This produces a geometric object called the Clifford torus, a surface in 4-space.

Torus (album)

Torus is the second studio album by Sub Focus. The album was released on 30 September 2013 through RAM Records, Mercury Records and Virgin EMI.

Musical concept and songs

Torus (disambiguation)

A torus, pl. tori, is a type of surface. It may also refer to:

In biology:

In mathematics:

In medicine:

In nuclear physics:

In astrophysics:

In architecture:

In music: