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LOVE Exists

The plot of the equation \sqrt{\left({1-(|x|-1)^2}\right)}=-2.5 \sqrt{\left( {1-\sqrt{\dfrac{|x|}{2}}}\right)} and following other equations are heart curves: Equations for Heart Curves

Proof


Images via Wolframalpha.com and i.imgur.com respectively.

Three Dimensional Algebraic Curves

Here is a collection of  Various Algebraic Surfaces in colorful 3D Models. The images and animations were produced at the Institute of Mathematics at the University of Innsbruck in the ongoing research on singularities in the group of Herwig Hauser. Click on each image to learn more (a little more) about it. (more…)

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