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There are two values involved in Gaussian curvature. These two values are both "curvatures"- κ1 and κ2. If one of these values is zero, then the Gaussian curvature is zero. However, if they are different, then the Gaussian curvature is negative. And if they are the same, the Gaussian curvature will be positive. |
There are two values involved in Gaussian curvature. These two values are both "curvatures"- κ1 and κ2. If one of these values is zero, then the Gaussian curvature is zero. However, if they are different, then the Gaussian curvature is negative. And if they are the same, the Gaussian curvature will be positive. |
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| + | [[Category:Carl Friedrich Gauss]] |
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Revision as of 03:17, 6 January 2014
Gaussian curvature is a part of differential geometry. It was discovered by Carl Friedrich Gauss, obviously.
Explanation
There are three types of Gaussian curvature. The first type is negative curvature, which would be a hyperboloid. The second type is zero curvature which can be a cylinder. As you can see, there is a pattern, and thus positive curvature would be the opposite of a hyperboloid.
There are two values involved in Gaussian curvature. These two values are both "curvatures"- κ1 and κ2. If one of these values is zero, then the Gaussian curvature is zero. However, if they are different, then the Gaussian curvature is negative. And if they are the same, the Gaussian curvature will be positive.