LaTeX 上的八面体（多面体）

Question

我正在尝试在坐标系中创建一个八面体（多面体）。两个角点应位于其中一个轴上，其中一个轴通过 (0,0,0)。

你可以帮帮我吗？

我不知道如何命名角点（A，..，F）并创建坐标系。

\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}

\begin{document}

\begin{tikzpicture}
    \tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
    \node (a)[point] at (0,0) {};
    \node (b)[point] at (2,0) {};
    \node (c)[point] at (3,1) {};
    \node (d)[point] at (1,1) {};
    \node (e)[point] at (1.5,3) {};
    \node (f)[point] at (1.5,-2) {};
    \draw (a.center) -- (b.center) -- (c.center) -- (e.center) -- (b.center);
    \draw (a.center) -- (e.center);
    \draw[dashed] (a.center) -- (d.center) -- (c.center);
    \draw[dashed] (d.center) -- (e.center);

    \draw (a.center) -- (f.center) -- (b.center);
    \draw (f.center) -- (c.center);
    \draw[dashed] (f.center) -- (d.center);
\end{tikzpicture}

\end{document}

Answer 1

使用xelatex或运行latex->dvips->ps2pdf：

\documentclass{article}
\usepackage[svgnames]{pstricks}
\usepackage{pst-solides3d}   
\begin{document}

\psset{viewpoint=30 10 10 rtp2xyz, lightsrc=10 5 4,Decran=30}
\begin{pspicture}(-3,-3)(5,5)
\psSolid[object=octahedron,a=3,linecolor=blue,fillcolor=Turquoise,action=draw*]%
\axesIIID(3,3,3)(5,4,4) 
\end{pspicture}
\end{document}