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Re: Curvature of all spheres
Posted:
Oct 23, 2006 8:12 PM


On Mon, 23 Oct 2006 23:55:59 GMT, Larry Giller <lgiller113@gillernet.net> wrote:
>Virgil <virgil@comcast.net> wrote in news:virgil9F990F.22072418102006 >@comcast.dca.giganews.com: > >> Larry Giller <lgiller113@gillernet.net> wrote: >> >>> Would the curvature for all "perfect" spheres be the same? >> >> Isn't the curvature of a sphere dependent on its radius? > >The area would be affected, but I don't see how the curvature >would be, since all points would be equidistant from the center. >That's the question. Would all spheres have equal curvature (I >think radius wouldn't have any determination in this, though I >could be wrong). > >
Informally, the larger the radius the flatter the surface is. The Gaussian curvature is 1 / r^2 and the Mean curvature is 1 / r. See, for example:
http://mathworld.wolfram.com/Sphere.html
Lynn



