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| − | [[Image:Ghdyt.png|right|thumb|300px]]
| + | 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. |
| − | A '''Torus''' is the mathematical term for a “doughnut” shape created by rotating a circle around an axis.
| + | 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. |
| − | | + | 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. |
| − | 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
| + | 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. |
| − | :S = 4 π<sup>2</sup> (R+r)r
| + | 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. |
| − | and the volume is | + | 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. |
| − | :V = 2 π<sup>2</sup>(R+r)r<sup>2</sup>
| + | 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. |
| − | | + | 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. |
| − | | + | 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. |
| − | == Topology ==
| + | 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. |
| − | 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]].
| + | 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. |
| − | | + | 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. |
| − | 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.
| + | 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. |
| − | | + | 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. |
| − | The [[genus]] of a one-fold torus is 1. | + | 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. |
| − | | + | 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. |
| − | [[Category:Geometry]]
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| − | [[category:mathematics]]
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