Exploring a Heart-Shaped Function

[DrBoom]

(and here goes my first post)
I was "browsing" through some math books when i noticed on the cover of a book a...shady...and not very clear (because of the book's age) graphic...in the shape of a heart...and i was wondering how would a function who's graphic is a heart be "defined" like ^_^

sorry for the bad english but I'm not used to talk about math in english...(actually I'm not in general...cuz' I'm quite new to it but that doesn't count :P )
(in case i wasn't clear enough...how is the function expressed through f(x) = ...?)

i don't know if this is the right place to post...but i'll take my chance

 

[exk]

You may be thinking of a cardioid, which is plotted in polar coordinates using the equation r=a(1-cos(x))
More info here: http://mathworld.wolfram.com/Cardioid.html

 

[DrBoom]

well...not that i'd be personally thinking of anything...=)...it's not my style to think


fooor the graphic - yeah that is trully pretty close to what I've seen but even more closer to a heart...i mean, the part of the graphic in the...quadrants (that's how they're called in english ?) 2 and 3...i mean y -positive, x-negative and y,x- negative is not round...is a convex curve and a con...cave...(?) one ...just like a at a heart shape

is it possible to actually create this with a function like
f(x) = blah blah if x is inside (n1,n2)
and
f(x) = blah blah 2 if x is inside (n3,n4)

 

[exk]

Try http://mathworld.wolfram.com/HeartCurve.html

The equations associated with the curves are given on the page.

 

[DrBoom]

eeeeexactly ^_^

thanks a lot

(this would be an interesting way for writing a love letter...with ecuations...)

 

[sutupidmath]

(this would be an interesting way for writing a love letter...with ecuations...)

Blahh, that's what i did once...lol...and it worked!