lavinia's latest activity
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Llavinia replied to the thread Graduate Evolute of an Evolute... ad infinitum?.@WWGD I thought you'd like see see why evolutes are critical values of the normal map. For a curve in the plane, the normal map is...
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Llavinia replied to the thread Graduate Evolute of an Evolute... ad infinitum?.I think for hypersurfaces of Euclidean n-space one gets n-1 evolute like hypersurfaces as the critical values of the normal mapping...
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Llavinia replied to the thread Graduate Evolute of an Evolute... ad infinitum?.For the parabola (x,x^2) plugging into the formula for the evolute gives the parametric equation (-4x^3,1/2+3x^2). This is not a...
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Llavinia replied to the thread Graduate Evolute of an Evolute... ad infinitum?.i tried to indicate a method of proof in reply #4
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Llavinia replied to the thread Graduate Evolute of an Evolute... ad infinitum?.The evolute of a parabola contains a cubic term so is not a parabola. I wonder if the degree of iterated evolutes of the parabola is...