- #1
geordief
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- TL;DR Summary
- Does such an equation exist?
Is there an equation that a surface dweller could developedto globally describe his or her surface?
Let us say a sphere?
If we determine that curvature is everywhere constant what would be an equation that would describe that surface ? (simply that curvature is everywhere constant?)
And if curvature is not constant (say an ellipse) would there be any way of expressing this in a global mathematical form and not just as an agglomeration of local measurements of local curvature?
Are global equations of surfaces almost by definition extrinsic?
Let us say a sphere?
If we determine that curvature is everywhere constant what would be an equation that would describe that surface ? (simply that curvature is everywhere constant?)
And if curvature is not constant (say an ellipse) would there be any way of expressing this in a global mathematical form and not just as an agglomeration of local measurements of local curvature?
Are global equations of surfaces almost by definition extrinsic?