graph a pumpkin

galactus

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Does anyone know the equation to graph a pumpkin?. I once seen this in a math text, but can't find it. When you graph it, it does look like a pumpkin. Soroban?. I tried to find it at Halloween time, but couldn't.
 

soroban

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Hello, galactus!

Does anyone know the equation to graph a pumpkin?

A cardioid comes close: \(\displaystyle \,r \:=\:a(1\,-\,\sin\theta)\)

Personally, I think it looks like an apple,
. . and I haven't found a way to "fatten" it.

You won't like the rectangular form either:
. . \(\displaystyle a^2(x^2\,+\,y^2) \;=\;\left(x^2\,+\,y^2\,+\,ay\right)^2\)

 

galactus

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I know a cardiod is close, but the one I am thinking of actually had the lines going down the 'pumpkin' which looked like the grooves.

I have racked my brain trying to remember what book I seen that in, but can't find it.
 

galactus

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Thanks Denis. Some of those 'punkins' are rather homely. They look like tumors. :lol:
 

Denis

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galactus said:
Thanks Denis. Some of those 'punkins' are rather homely. They look like tumors. :lol:
Ya...but you won't be able to say that once they're converted to pi :roll:
 
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