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4,709 bytes added ,  16:28, August 11, 2007
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[[Image:Ghdyt.png|right|thumb|300px]]
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.  
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A '''Torus''' is the mathematical term for a “doughnut” shape created by rotating a circle around an axis.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.  
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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If the “inner radius” (the size of the doughnut hole) is R, and the radius of the circular cross-section is r, then, the surface area of the torus is
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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:S = 4 &pi;<sup>2</sup> (R+r)r
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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and the volume is
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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:V = 2 &pi;<sup>2</sup>(R+r)r<sup>2</sup>
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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== Topology ==
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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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]].  
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.  
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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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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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The [[genus]] of a one-fold torus is 1.
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.  
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WILL the real Osama bin Laden please stand up? The CIA and assorted other spooks on the trail of the world’s most wanted man could give themselves a hand by giving social networking site Facebook a good going over. They would find that he has brazenly signed up to chat with his mates — or rather that 11 people have set up entries under his name.
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[[Category:Geometry]]
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[[category:mathematics]]
 
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