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This question already has an answer here:

Does anyone know the equation of a 3-Dimensional egg. Like a real egg( the uneven type where it is more wide on one side), not an ellipsoid in 3D cartesian form.I can't seem to find it anywhere, I mean there is one even for the heart in 3D, so there should be one for an egg right?

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marked as duplicate by Mario Carneiro, TZakrevskiy, N. F. Taussig, Mark Viola, Marconius Oct 22 '15 at 0:06

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  • $\begingroup$ There most certainly exists such an equation, you are right. However, the heart equation is easy to remember and simple to write down, which is why it is often encountered. There is no reason for the egg equation to also match these properties... $\endgroup$ – 5xum Oct 21 '15 at 16:48
  • $\begingroup$ math.stackexchange.com/questions/267091/… this might help you. $\endgroup$ – Michael Cera Oct 21 '15 at 16:50
  • $\begingroup$ @MichaelCera Sadly, that question is crippled by link rot. $\endgroup$ – Mario Carneiro Oct 21 '15 at 16:51
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$$\begin{cases} x(u,v) = (1 + 0.2 v) \cos u \sin v \\ y(u,v) = (1+0.2v) \sin u \sin v \\ z(u,v) = 1.65 \cos v \end{cases}$$

Here's the source.

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    $\begingroup$ Source?${}{}{}$ $\endgroup$ – Mario Carneiro Oct 21 '15 at 16:59

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