\usepackage{tikz}
\begin{tikzpicture}
\draw[scale=3, domain=0:180, variable=\t, samples=500, fill=red]
plot (%
{
(
1
+
(cos(6*\t))^2
+
(1/5)*(cos(6*\t)*cos(24*\t))^10
+
( (1/4)*(cos(30*\t))^2 + (1/9)*(cos(30*\t))^12) * (1-(sin(6*\t))^10)
)
*(sin(2*\t))
*(1-(cos(\t))^4)
*(1 - (cos(\t))^10 * (cos(3*\t))^2)
+(1/70)*(cos(\t))^9
}
,
{
(-21/20)*cos(2*\t)*(1 - (cos(\t))^4 + (1/2)*(cos(\t)*cos(3*\t))^10)
*
(
1
+
(cos(6*\t))^2
+
(1/5)*(cos(6*\t)*cos(18*\t))^10
+
( (1/4)*(cos(30*\t))^4 + (1/10)*(cos(30*\t))^12 )
*
( 1 - ((cos(\t))^10) * (cos(3*\t))^2 )
*
( 1 - (sin(6*\t))^10 )
)
}
);
\end{tikzpicture}