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I am trying to fill in the area of two parametric curves like this:

enter image description here

Here so far is my failed attempt:

enter image description here

I would ideally like to not use pngplots. I know that pngplots comes with the fillbetween library (e.g. use case here), but I am wondering if there is a way to do this without it. I have been skimming the Tikz documentation, but have not been able to find anything. If there isn't a good way to do this without fillbetween, so be it.

Here is a MWE used to make the pictures:

\documentclass[crop, tikz]{standalone}

\definecolor{axiscol}{HTML}{bebebe} % light gray
\definecolor{fillcol}{HTML}{ffbf00} % amber
\definecolor{arrowcol}{HTML}{cc5500} % orange amber


\begin{document}


\begin{tikzpicture}[domain = -2:2, variable = \y, smooth]


\draw[axiscol, latex-latex] (-3.5,0) -- (3.5,0) node[right, axiscol] {\(x\)};
\draw[axiscol, latex-latex] (0,-3.5) -- (0,3.5) node[above, axiscol] {\(y\)};

\draw[color = arrowcol, very thick] plot ({sin(\y r) + 2}, \y) plot ({exp(-0.5*\y) - 1.65}, \y);
\fill[color = fillcol] plot ({sin(\y r) + 2}, \y) plot ({exp(-0.5*\y) - 1.65}, \y);




\end{tikzpicture}


\end{document}
akenny430
  • 1,389

1 Answers1

1

You can add a second \path that basically uses the plots to define a closed shape, so that once you set the right domain, you can use it to fill the area.

Output

enter image description here

Code

\documentclass[crop, tikz]{standalone}

\definecolor{axiscol}{HTML}{bebebe} % light gray
\definecolor{fillcol}{HTML}{ffbf00} % amber
\definecolor{arrowcol}{HTML}{cc5500} % orange amber


\begin{document}


\begin{tikzpicture}[domain = -2:2, variable = \y, smooth]


\draw[axiscol, latex-latex] (-3.5,0) -- (3.5,0) node[right, axiscol] {\(x\)};
\draw[axiscol, latex-latex] (0,-3.5) -- (0,3.5) node[above, axiscol] {\(y\)};

\path[fill=fillcol] 
    plot [smooth,samples=100,domain=-2:2] ({sin(\y r) + 2}, \y)  -- 
    plot [smooth,samples=100,domain=2:-2] ({exp(-0.5*\y) - 1.65}, \y); 
\draw[color = arrowcol, very thick] 
    plot ({sin(\y r) + 2}, \y) 
    plot ({exp(-0.5*\y) - 1.65}, \y);  



\end{tikzpicture}
\end{document}
Alenanno
  • 37,338