Image: Wikimedia Commons

torus

Doughnut-shaped surface of revolution, based on a revolved figure of a circle

EntityQ12510

Also known as tori · doughnut shape

Subclass of: surface of revolution
, surface
, closed manifold
+4 more

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In geometry, a torus is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle. The main types of tori include ring tori, horn tori, and spindle tori. A ring torus is sometimes colloquially referred to as a doughnut.

Overview

All data

36 statements · 17% with external sources · numbers in brackets are citations

Followed by: genus-two surface criterion used: genus
Follows: sphere criterion used: genus
Defining formula: \left(R - \sqrt{x^2 + y^2}\right)^2 + z^2 = r^2
Different from: Three-torus
Taurus
torii applies to name of object: torii · applies to name of subject: tori
pinched torus
Euler characteristic: 0
Has characteristic: genus numeric value: 1
Studied by: Euclidean solid geometry
Contains: solid torus

On other databases

18 identifiers linking torus across the web's reference databases

Data quality

statements

17%

externally sourced

Source last edited July 15, 2026. AIDB refreshes this page daily.

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AIDB. (2026). torus (Q12510). Retrieved from https://aidb.si/e/torus-Q12510