# What is a rose curve?

Dec 7, 2014

A rose curve has an equation of the form

$r = \cos \left(n \theta\right)$,

where $n = 1 , 2 , 3 , \ldots$

Examples

Odd: $n = 5$ (5 petals)

Even: $n = 4$ (8 petals)

Remark: As shown above, if $n$ is odd, then a rose has $n$ petals, however, if $n$ is even, then a rose has $2 n$ petals.

I hope that this was helpful.