% \begin{tikzpicture}
% % lambda = 1/4
%   \begin{axis}[
%     width=2in,
%     height=2in,
%     axis lines=center,
%     xlabel=\empty,
%     ylabel=\empty,
%     xticklabel=\empty,
%     yticklabel=\empty,     
%     xmin=-5,xmax=5,ymin=-3,ymax=3]
%     % x equation
%     \addplot+[no markers, samples=200, domain=0:360, variable=\t, line width=1.3, color = cb-yellow!50!cb-red]
%     ({cos(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2/16+sin(t)^4/384)*100}, {sin(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2/16+sin(t)^4/384)*100});
%     % highlight intersections
%     \addplot [only marks, mark=x, line width = 1.3, mark size = 3pt] table {
%     % 0  0
%     % 2.44949  0
%     % -2.44949  0
%     0  0.260417
%     0  -0.260417
%     };
%     \addplot [only marks, mark=square*, mark size = 2pt] table {
%     4.16667  0
%     -4.16667  0
%     };
%     \node at (2.3,-2.5) [rectangle,draw,fill = cb-palegrey,inner sep=0.8pt] {$\lambda = \frac{1}{4}$};
%     \end{axis}
% \end{tikzpicture}
% \,
\begin{tikzpicture}
% lambda = 1/2
  \begin{axis}[
    width=2in,  %2in,
    height=2in,
    axis lines=center,
    xlabel=\empty,
    ylabel=\empty,
    xticklabel=\empty,
    yticklabel=\empty, 
    xmin=-5,xmax=5,ymin=-5,ymax=5]
    % x equation
    \addplot+[no markers, samples=200, domain=0:360, variable=\t, line width=1.3, color = cb-yellow!50!cb-red]
    ({cos(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2/8+sin(t)^4/96)*100}, {sin(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2/8+sin(t)^4/96)*100});
    

    % highlight intersections
    \addplot [only marks, mark=x, line width = 1.3, mark size = 3pt] table {
    % 0  0
    % 2.44949  0
    % -2.44949  0
    0  1.04167
    0  -1.04167
    4.16667  0
    -4.16667  0
    };
    \addplot [only marks, mark=square*, mark size = 2pt] table {
    4.02454  2.54535 
    -4.02454  2.54535
    4.02454  -2.54535
    -4.02454  -2.54535
    };

    \node at (2.3,-4) [rectangle,draw,fill = cb-palegrey,inner sep=0.8pt] {$\lambda = \frac{1}{2}$};
    \end{axis}
\end{tikzpicture}
\,
% \begin{tikzpicture}
% % lambda = 4
% \begin{axis}[
%     width=2in,
%     height=2in,
%     axis lines=center,
%     xlabel=\empty,
%     ylabel=\empty,
%     xticklabel=\empty,
%     yticklabel=\empty,     
%     xmin=-3,xmax=3,ymin=-5,ymax=5]
%     % x equation
%     \addplot+[no markers, samples=200, domain=0:360, variable=\t, line width=1.3, color = cb-yellow!50!cb-red]
%     ({cos(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2+2*sin(t)^4/3)*6}, {sin(t)*(cos(t)^4/24+cos(t)^2*sin(t)^2+2*sin(t)^4/3)*6});
    

%     % highlight intersections
%     \addplot [only marks, mark=x, line width = 1.3, mark size = 3pt] table {
%     % 0  0
%     % 2.44949  0
%     % -2.44949  0
%     0.25  0
%     -0.25  0
%     };
%     \addplot [only marks, mark=square*, mark size = 2pt] table {
%     0  4
%     0  -4
%     };

%     \node at (2,-4) [rectangle, draw, fill = cb-palegrey, inner sep=1.5pt] {$\lambda = 4$};
%     \end{axis}
% \end{tikzpicture}

    