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Try the following in Google:

sqrt(cos(x))*cos(300x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(6-x^2), -sqrt(6-x^2) from -4.5 to 4.5

Are there any other interesting ones?

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closed as not a real question by Jacob Black, Will Jagy, Norbert, Ron Gordon, Asaf Karagila Feb 14 '13 at 22:14

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

Search for the batman equation. –  Git Gud Feb 14 '13 at 21:22
@JacobBlack, a very very mathematician comment. lol –  Sigur Feb 14 '13 at 21:23

4 Answers 4

WolphramALpha posted a graph depicting Cupid with his bow and arrow on their blog and Facebook page earlier today.

enter image description here

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Trigonometry is more romantic than polynoms. ^^ –  zaarcis Feb 14 '13 at 21:39
I am emailing this to my valentine. Better than an E-card or dead flowers. –  Fixed Point Feb 14 '13 at 21:54
It would be nice to try using analytic approximations to the Heaveside and the sign functions to get this to work in Google. –  Dimitriy V. Masterov Feb 14 '13 at 22:23

Trace a circle of radius 1 outside another circle of radius 1. The result is also a heart-shaped shape called a cardioid.

Also try reducing the inequality $6u > 2i$ into simplest terms and turning it into a "less than" inequality.

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I suggest using some vector graphic editors and then extracting resulting equations of heart shapes. It must be possible. Of course, you will get polynomial splines (piecewise and cubic, most probably) but I find them to be good enough.

// Sorry for my anti-Valentinism.

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The most romantic equation in math, is, of course

$$e^{i\theta}=\mathrm{cos}\theta + i \,\mathrm{sin}\theta.$$

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