# Draw polygon surface within pentagon [duplicate]

I have 5 properties and I thought that visualizing them along the axis of a pentagon would be nice. The properties can take an integer value between 0-5. Together that span a surface within the pentagon.

This is what I'd would like the image to look like [took me forever to make the markers in inkscape :-)] :

This is what I have so far:

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}

\begin{document}

\begin{tikzpicture}
\newdimen\R
\R=4cm
\node[draw=black, minimum size=\R,regular polygon,regular polygon sides=5] (a) {};
\draw (a.center) -- (a.north)    node[above] {Property1};
\draw (a.center) -- (a.corner 5) node[right] {Property2};
\draw (a.center) -- (a.corner 4) node[right] {Property3};
\draw (a.center) -- (a.corner 3) node[left]  {Property4};
\draw (a.center) -- (a.corner 2) node[left]  {Property5};

\draw [thin,black!20] circle (\R) ;
\fill[red] circle (2pt);

% Trial/error for this example
%                              P1        P2           P3              P4             P5
\draw[fill=cyan, opacity=0.8] (0,1.5) -- (0.9,0.3) -- (0.55, -0.8) -- (-0.6,-0.8) -- (-1.4,0.45) -- cycle;

\end{tikzpicture}

\end{document}


Resulting in this:

I'm lost at drawing the markers on the vertexes and having them equally spaces and equally lost when it comes to filling the polygon given by the 5 integer-values

Since I have quite a few of these to draw, making the above into a macro would be really nice :-)

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## marked as duplicate by Benedikt Bauer, Werner, zeroth, Heiko Oberdiek, Peter GrillMar 6 at 21:45

–  Herbert Mar 6 at 20:42
cool, didn't know thay were called Kiviat diagrams –  Fredrik Pihl Mar 6 at 20:57

Here's a manual implementation using pstricks. As such, compile with either LaTeX or XeLaTeX:

\documentclass{article}
\usepackage{pstricks}% http://tug.org/PSTricks/main.cgi/
\usepackage{multido,xcolor}% http://ctan.org/pkg/{multido,xcolor}

\newcommand{\proppoly}[6][]{
\pspolygon[fillstyle=solid,fillcolor=cyan,opacity=0.8,#1]%
(#2;90)(#3;162)(#4;234)(#5;306)(#6;18)% Property polygon
}

\begin{document}

\begin{pspicture}(-5,-5)(5,5)
\SpecialCoor% Allow for polar coordinate specifications
\psset{runit=3cm,linewidth=.5pt}
\pscircle[linecolor=black!20](0,0){1.2}% Outer circle

\psset{linecolor=black!50}
\multido{\iA=1+1,\iB=90+72}{5}{
\multido{\rC=0.2+0.2}{4}{%
\rput{\number\numexpr\iB+90\relax}(\rC;\iB){\psline(-2pt,0)(2pt,0)}}% Ticks are 4pt in length
\rput{0}(1.1;\iB){\iA}% Property #s
}

\pspolygon(1;90)(1;162)(1;234)(1;306)(1;18)% Outer pentagon

\proppoly{0.8}{0.87654}{0.4765}{0.55}{0.314}
\end{pspicture}

\end{document}


\proppoly[<options>]{<p1>}{<p2>}{<p3>}{<p4>}{<p5>} plots a polygon containing the values of properties <p1>, <p2>, <p3>, <p4> and <p5> with options <options>.

You could add multiple \proppolys on top of one another:

...
\proppoly{0.8}{0.87654}{0.4765}{0.55}{0.314}
\proppoly[fillcolor=green!30!yellow]{0.4}{0.5}{0.7}{0.9}{1}
\proppoly[fillcolor=red!70,opacity]{0.2}{0.3}{0.2}{0.3}{0.2}
...

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