# Drawing a plane in tikz in 3D with a sine wave

I am trying to draw a plane with the front edge having a sine wave.

Using the code from this example I can draw it by something like

\documentclass{standalone}

\usepackage{tikz}
\usepackage{tikz-3dplot}
\begin{document}

\tdplotsetmaincoords{70}{70}
\begin{tikzpicture}[scale=3,tdplot_main_coords]
\filldraw[draw=red,fill=red!20
]          (0,0,-0.5)
-- (0,1,-0.5)
-- (0,1,1)
-- (0,0,1)
-- (0,{0.1*sin(deg(4*pi*0.975)},0.975)
-- ...lots more points....
-- (0,{0.1*sin(deg(4*pi*-0.475)},-0.475)
-- cycle;
\draw[thick,->] (0,-0.2,0) -- (0,1.2,0) node[anchor=north west]{$x$};
\draw[thick,->] (0,0,-0.5) -- (0,0,1.2) node[anchor=south]{$z$};
\draw[thick,->] (-0.5,0,0) -- (1.2,0,0) node[anchor=north east]{$y$};
\end{tikzpicture}

\end{document}


where I specify all the points on the sine curve manually. There must be a better way of doing this, for example something like

--[domain=1:-0.5] (0,{0.1*sin(deg(4*pi*x)},x)


I've attached my results so far doing it manually. I want to be able to vary the sine wave which is why I want a better way of doing it. ## 2 Answers

You almost got it. See the code:

\documentclass[tikz, border=5mm]{standalone}

\usepackage{tikz-3dplot}

\tdplotsetmaincoords{70}{70}

\begin{document}
\begin{tikzpicture}[tdplot_main_coords]
\draw [red, fill=red!20, domain=-.5:1, samples=100] plot (0,{.1*sin(deg(4*pi*\x))},\x) -- (0,1,1) -- (0,1,-.5) -- cycle;

\begin{scope}[->, shorten >= 2mm]
\draw (-.5,0,0) -- (2,0,0) node {$y$};
\draw (0,-.5,0) -- (0,2,0) node {$x$};
\draw (0,0,-.5) -- (0,0,2) node {$z$};
\end{scope}
\end{tikzpicture}
\end{document} It's easier if you use an actual function instead of drawing it manually step by step.

## Output ## Code

\documentclass[margin=10pt]{standalone}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\begin{document}

\tdplotsetmaincoords{70}{70}
\begin{tikzpicture}[scale=3,tdplot_main_coords]

\fill[draw=red, fill=red!20, variable=\z,domain=-.5:1,samples=200]
(0,0,-.5) plot (0,{sin(\z*pi r*4)/10},\z)
-- (0,1,1)
-- (0,1,-0.5)
-- cycle;

\draw[thick,->] (0,-0.2,0) -- (0,1.2,0) node[anchor=north west]{$x$};
\draw[thick,->] (0,0,-0.5) -- (0,0,1.2) node[anchor=south]{$z$};
\draw[thick,->] (-0.5,0,0) -- (1.2,0,0) node[anchor=north east]{$y$};
\end{tikzpicture}
\end{document}

• Thank you very much, that works just as well as the other answer. I marked the other one as correct because the code was slightly clearer. – OmniJames Jan 21 '16 at 15:05