Definitions for Torus
ˈtɔr əs, ˈtoʊr-; ˈtɔr aɪ, ˈtoʊr aɪtorus

Princeton's WordNetRate this definition:0.0 / 0 votes

1. torus, toroidnoun

   a ring-shaped surface generated by rotating a circle around an axis that does not intersect the circle

2. torus, torenoun

   commonly the lowest molding at the base of a column

WiktionaryRate this definition:0.0 / 0 votes

1. torusnoun

   A topological space which is a product of two circles.

   A 4-variable Karnaugh map can be thought of, topologically, as being a torus.

2. torusnoun

   The standard representation of such a space in 3-dimensional Euclidean space: a shape consisting of a ring with a circular cross-section: the shape of an inner tube or hollow doughnut.

3. torusnoun

   The product of the specified number of circles.

4. torusnoun

   A molding which projects at the base of a column and above the plinth.

5. torusnoun

   The end of the peduncle or flower stalk to which the floral parts (or in the Asteraceae, the florets of a flower head) are attached; see receptacle.

6. Etymology: From torus.

WikipediaRate this definition:0.0 / 0 votes

1. Torus

   In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is 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. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a toroid, as in a square toroid. Real-world objects that approximate a torus of revolution include swim rings, inner tubes and ringette rings. Eyeglass lenses that combine spherical and cylindrical correction are toric lenses.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 objects that approximate a solid torus include O-rings, non-inflatable lifebuoys, ring doughnuts, and bagels. In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S 1 × S 1 {\displaystyle S^{1}\times S^{1}} , 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 Euclidean space, but another way to do this is the Cartesian product of the embedding of S 1 {\displaystyle S^{1}} in the plane with itself. This produces a geometric object called the Clifford torus, a surface in 4-space. In the field of topology, a torus is any topological space that is homeomorphic to a torus. The surface of a coffee cup and a doughnut are both topological tori with genus one. An example of a torus can be constructed by taking a rectangular strip of flexible material, for example, a rubber sheet, and joining the top edge to the bottom edge, and the left edge to the right edge, without any half-twists (compare Möbius strip).

ChatGPTRate this definition:0.0 / 0 votes

1. torus

   A torus is a geometric shape that resembles a donut or a ring. Mathematically, it's 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 intersect the circle, it results in the standard type of torus. The term is also used in various fields like topology, algebraic geometry, and even in everyday life to describe similar shapes.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Torusnoun

   a lage molding used in the bases of columns. Its profile is semicircular. See Illust. of Molding

2. Torusnoun

   one of the ventral parapodia of tubicolous annelids. It usually has the form of an oblong thickening or elevation of the integument with rows of uncini or hooks along the center. See Illust. under Tubicolae

3. Torusnoun

   the receptacle, or part of the flower on which the carpels stand

4. Torusnoun

   see 3d Tore, 2

WikidataRate this definition:0.0 / 0 votes

1. Torus

   In geometry, a torus 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 ring torus or simply torus if the ring shape is implicit. When the axis is tangent to the circle, the resulting surface is called a horn torus; when the axis is a chord of the circle, it is called a spindle torus. A degenerate case is when the axis is a diameter of the circle, which simply generates a 2-sphere. The ring torus bounds a solid known as a toroid. The adjective toroidal can be applied to tori, toroids or, more generally, any ring shape as in toroidal inductors and transformers. Real-world examples of toroidal objects include doughnuts, vadais, inner tubes, bagels, many lifebuoys, O-rings and vortex 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 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, surface in 4-space.

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Torus

   tō′rus, n. (archit.) a moulding in the base of columns, the profile of which is semicircular: (bot.) the receptacle or part of the flower on which the carpels stand: (anat.) a rounded ridge, esp. one on the occipital bone of the skull:—pl. Tō′ri. [L., a round, swelling place, an elevation.]

Matched Categories

1. • Molding

Anagrams for Torus »

1. roust

2. routs

3. stour

4. tours

5. Tours

6. rusot

7. sutor

How to pronounce Torus?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say Torus in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Torus in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of Torus in Pythagorean Numerology is: 3

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=Torus
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Torus
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Torus
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/Torus
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=Torus
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=Torus