How to pick a plane inside a cube in pst-3dplot?

Question

I want to pick and highlight a diagonal plane of a cube. I do not want to color it but use some kind of fill-style so that I can print it on a black and white printer. The following is my solution using pst-3dplot treating the plane as a parametric surface. This cannot be the only way to do this. Is there another (better?) way? The following is the code.

    \documentclass[12pt]{report}
    \usepackage{pst-3dplot}

    \begin{document}
    \psset{coorType=2,Alpha=90,IIIDticks}
    \begin{pspicture}(-3,-2.5)(3,4.25)
    \pstThreeDCoor[IIIDticks,IIIDticksize=0]
    \pstThreeDBox[hiddenLine](0,0,0)(0,0,2)(2,0,0)(0,2,0)
    \parametricplotThreeD[plotstyle=curve,yPlotpoints=20](0,2)(0,2){t  t  u}
    \end{pspicture}
    \end{document} 

Answer 1

This looks like a different way. To create the plane I used the \pstThreeDSquare command. From the vector (0,0,0) the vectors (0,0,2) and (2,2,0) span the square. The fillstyle is hlines, vlines, or croshatch. Hatchwidth is the thickness of each line and hatchsep is the distance between adjacent lines.

\documentclass[12pt]{report}
\usepackage{xcolor}
\usepackage{pst-3dplot}
\begin{document}
\psset{coorType=2,Alpha=90,IIIDticks}
\begin{pspicture}(-3,-2.5)(3,4.25)
\pstThreeDCoor[coorType=2,IIIDticks,IIIDticksize=0,xMin=-2,xMax=4,yMin=-2,yMax=4,zMin=-1,zMax=3]{\psset{coorType=2,fillstyle=vlines,hatchwidth=.2mm,hatchsep=.55mm}\pstThreeDSquare(0,0,0)(0,0,2)(2,2,0)}
\pstThreeDBox[hiddenLine](0,0,0)(0,0,2)(2,0,0)(0,2,0)
\end{pspicture}
\end{document} 

PS: you should be able to color it (solid) shades of gray and get it to print on a black and white printer.

Answer 2

I played with tikz and tikz-3dplot packages a little bit today. The following is a solution using those packages.

\documentclass[11pt]{report}
\usepackage{tikz}
\usepackage{tikz-3dplot}

\begin{document}
\tdplotsetmaincoords{60}{110}
\begin{tikzpicture}[scale=1.5,tdplot_main_coords]
\draw[thick,->] (0,0,0) -- (3,0,0) node[anchor=north east]{$x$};
\draw[thick,->] (0,0,0) -- (0,3,0) node[anchor=north west]{$y$};
\draw[thick,->] (0,0,0) -- (0,0,3) node[anchor=south]{$z$};
\draw[fill, color=blue!30, draw=black,line width=1pt]
(2,2,2) -- (0,0,2) -- (0,0,0) -- (2,2,0) -- cycle;
\draw[line width=1pt]
(0,0,0) -- (0,0,2) -- (2,0,2) -- (2,0,0) -- (0,0,0) -- (0,2,0) -- (0,2,2) -- (0,0,2)
(2,0,2) -- (2,2,2) -- (2,2,0) -- (2,0,0)
(2,2,0) -- (0,2,0)
(2,2,2) -- (0,2,2);
\end{tikzpicture}
\end{document}