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In geometry, a torus (pl.: tori or toruses) 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.
Products, Topology & N-dimensional torus
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surface circle one displaystyle space ring genus two flat tori axis group also quotient compact revolution product toroidal topology sphere
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Torus | is a | torus plus the volume inside the torus | 0.90 | text |
| Torus | is a | product of two circles | 0.90 | text |
| Torus | is a | closed surface defined as the product of two circles | 0.90 | text |
| Torus | is a | twofold branched cover of the 2-sphere | 0.90 | text |
| Torus | is a | free abelian group of rank n | 0.90 | text |
| Torus | is a | free abelian group of rank n choose k | 0.90 | text |
| Torus | is a | n-fold product of the circle | 0.90 | text |
| Torus | is a | torus with the metric inherited from its representation as the quotient | 0.90 | text |
| Torus | is a | Eilenberg | 0.90 | text |
| Torus | is a | array of symbols from an alphabet | 0.90 | text |
| rubber | instance of | 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 | 0.80 | text |
| and joining the top edge to the bottom edge | instance of | 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 | 0.80 | text |
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