A torus is a two-dimensional surface produced from the cartesian product of two circles. It can also be considered as a tube where the two ends are connected in a ring. It makes up the surface of a three-dimensional solid torus.

Structure and Sections

As the compact orientable surface with Euler characteristic 0, it is topologically equivalent to all compact orientable surfaces with one handle.


  • 1 torus (2D)

See Also

\mathbb{S}^2 \mathbb{T}^2 2\mathbb{T}^2 3\mathbb{T}^2 4\mathbb{T}^2
Sphere Torus Double torus Triple torus Quadruple torus