答案1
感谢 Sebastian,答案如下:
\begin{tikzpicture}
\begin{polaraxis}[grid=none, axis lines=none]
\addplot[mark=none,domain=0:360,samples=300] {0.1 + abs(cos(4*x/2))};
\end{polaraxis}
\node at (3.45, 3.45) {$\mathcal{O}$};
\node at (3.45, 5.45) {\small{\textbf{(0,2)}}};
\node at (3.45, 4.8) {\small{\textbf{(0,9)}}};
\node at (5.25, 3.65) {\small{(8, i)}};
\node at (5.25, 3) {\small{(8, 10i)}};
\node at (1.65, 3.65) {\small{(2i+7, i)}};
\node at (1.65, 3) {\small{(2i+7, 10i)}};
\node at (3.45, 2.1) {\small{(9i+7,i)}};
\node at (3.45, 1.45) {\small{(9i+7,10i)}};
\end{tikzpicture}