(Taubin 1993, 1994). The figures above show a ray-traced rendering (left) and the cross section (right) of the surface. A slight variation of the same surface is given by ReferencesBeutel, E. Algebraische Kurven. Leipzig, Germany: Teubner, 1909.Kuska, J.-P, C. "RE: Drawing a Heart in Mathematica?" comp.soft-sys.math.mathematica posting. Feb. 13, 2004. http://forums.wolfram.com/mathgroup/archive/20
There are a number of mathematical curves that produced heart shapes, some of which are illustrated above. A "zeroth" curve is a rotated cardioid (whose name means "heart-shaped") given by the polar equation The first heart curve is obtained by taking the cross section of the heart surface and relabeling the -coordinates as , giving the order-6 algebraic equation
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