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I want to draw planar representations of the 5 platonic graphs. Package tkz-berge has commands to draw such graphs. I managed to obtaint the planar representations of all but the dodecahedral (using different radii and/or forms). Is it possible to obtain a planar representation of the dodecahedral using the standard command \grDodecahedral? How?

\documentclass{article}
\usepackage{tkz-berge}
\begin{document}
    \begin{tikzpicture}
        \grTetrahedral
    \end{tikzpicture}
    \begin{tikzpicture}
        \grOctahedral[RA=5,RB=1]
    \end{tikzpicture}
    \begin{tikzpicture}
        \grCubicalGraph
    \end{tikzpicture}
    \begin{tikzpicture}
        \grIcosahedral[form=2,RA=8]
    \end{tikzpicture}
    \begin{tikzpicture}
        \grDodecahedral % failed
    \end{tikzpicture}
\end{document}

1 Answer 1

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The tkz-berge package offers 5 forms of a Dodecahedral.

\documentclass[border=5mm]{standalone}
\usepackage{tkz-berge}
\begin{document}

form 1    \begin{tikzpicture}
        \grDodecahedral[form=1] 
    \end{tikzpicture}
    
form 2     \begin{tikzpicture}
        \grDodecahedral[form=2] 
    \end{tikzpicture}
    
form 3     \begin{tikzpicture}
        \grDodecahedral[form=3] 
    \end{tikzpicture}
    
form 4     \begin{tikzpicture}
        \grDodecahedral[form=4] 
    \end{tikzpicture}
    
form 5     \begin{tikzpicture}
        \grDodecahedral[form=5] 
    \end{tikzpicture}

\end{document}

Resulting in: enter image description here

Choose form=3 or form=2 for planar

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  • @r-schumacher: Is this documented? Where? I did not find the different forms in this file.
    – ASdeL
    Jul 26, 2015 at 14:27
  • I went to the tkz-berge documentation, and noted that on page 103 he discusses that there are four embeddings done. Elsewhere in the manual he related the different embeddings to the key value form. So then I just tried form 1+ and found there were 5 available in this package of the 10 in the Wolfram article referenced on page 103 of the tkz-berge documentation. Jul 26, 2015 at 19:27

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