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A friend of mine just got a rather weird congratulations card through the door

Greeting card image

They have zero idea what it means, I have tried graphing it and nothing spectacular comes out. Is there a standard name for this equation or does it signify anything?

Any help would be appreciated.

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1  
your question and title do not match –  Shobhit Aug 28 '13 at 10:12
7  
Why don't you try plotting it in Wolfram Alpha? :) –  Cameron Williams Aug 28 '13 at 10:14
2  
I got curious about the XXX at the end :-D –  woliveirajr Aug 28 '13 at 15:21
    
Either the card is very weird or your personal situation is quite weird. Is it really true you have a significant other who shares a birthday with you and you have an anniversary on the same day?!! :) Or maybe it is just a card-for-all-occasions... –  rschwieb Sep 3 '13 at 13:08

3 Answers 3

up vote 10 down vote accepted

Using Maple it is:

 [> with(plots):
    implicitplot((x^2+y^2-1)^3-x^2*y^3 = 0, x = -10 .. 10, y = -10 .. 10);

enter image description here enter image description here

enter image description here enter image description here

enter image description here enter image description here

enter image description here

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2  
I love how bad the first couple of plots look. –  Simon Hayward Aug 28 '13 at 10:45
    
Awesome progression! +1 –  amWhy Aug 29 '13 at 0:05

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

Have a look at the second graph here

It is a cardiod curve.

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lol ! lucky guy !! –  lsp Aug 28 '13 at 10:16

Your friend had a great equation for his greetings, check the graph below

enter image description here

BTW, Happy Anniversary to your friend.

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