\documentclass[11pt]{report}
\input{header}
\pagestyle{empty}
\begin{document}
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    \arrMainVertex(0,2){a}
    %
    \arrPolygon(3,0)(5,5)(1,0)(5,3)(5,5)(5,0)(6,0)(0,2){lightred}
    %
    \arrMainVertex(1,0){b}
    \arrMainVertex(2,4){c}
    \arrMainVertex(3,0){d}
    \arrMainVertex(5,0){e}
    \arrMainVertex(5,3){f}
    \arrMainVertex(5,5){g}
    \arrMainVertex(6,0){h}
    %
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    \arrEmptyIntersectionVertex(0,2)(6,0)(1,0)(2,4){j}
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    %
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    \ncline[linecolor=blue]{j}{l}
    \ncline[linecolor=blue]{l}{k}
    \ncline[linecolor=blue]{k}{i}
    \ncline[linecolor=blue]{i}{h}
    %
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    \ncline[linecolor=blue]{j}{c}\Aput[1pt]{$s_1$}
    %
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    \ncline[linecolor=blue]{l}{n}
    \ncline[linecolor=blue]{n}{f}
    %
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    \ncline[linecolor=blue]{k}{n}
    \ncline[linecolor=blue]{n}{g}\Aput[1pt]{$s_5$}
    %
    \ncline[linecolor=blue]{e}{i}
    \ncline[linecolor=blue]{i}{f}\Bput[1pt]{$s_2$}
    \ncline[linecolor=blue]{f}{g}
    %
    \arrCrossVertex(4,1){o}\uput[0]{0}(4,1){$q$}
  \end{pspicture}
}
\end{document}
