# graph a pumpkin

#### galactus

##### Super Moderator
Staff member
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

##### Elite Member
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

##### Super Moderator
Staff member
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

##### Super Moderator
Staff member
Thanks Denis. Some of those 'punkins' are rather homely. They look like tumors. :lol:

#### Denis

##### Senior Member
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:

Staff member
Touche