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66 bytes added ,  23:31, July 13, 2007
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== Topology ==
 
== Topology ==
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A '''Torus''' can be defined as the [[cartesian product]] of 2 [[circle]]s.  It can be constructed from a [[rectangle]] by identifying its opposite edges under the [[quotiet topology]].  
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A '''Torus''' can be defined as the [[cartesian product]] of 2 [[circle]]s.  It can be constructed from a [[rectangle]] by identifying its opposite edges under the [[quotient topology]].  
    
This means that the torus surface is connected in the same way as the points on a rectangle, where you can “wrap-around” from one side of the rectangle to the other.  This was a common topology used in the playing field of older video games.
 
This means that the torus surface is connected in the same way as the points on a rectangle, where you can “wrap-around” from one side of the rectangle to the other.  This was a common topology used in the playing field of older video games.
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The [[genus]] of a one-fold torus is 1.
    
[[Category:Geometry]]
 
[[Category:Geometry]]
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[[category:mathematics]]
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