Ttyjukl

I want to make the next figure formed by 4 pentagons.

I can only do with two and still have a space between them. I can't even do the reflection of the two pentagons to get the desired figure.

documentclass[a4paper]{article}



usepackage[brazil]{babel}



usepackage{graphicx}



usepackage{tikz}



begin{document}



 begin{center}



begin{figure}[!htb]



  begin{tikzpicture}



        draw[ultra thick,rotate=18] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;



  end{tikzpicture}



 end{figure}



begin{figure}[!htb]



   begin{tikzpicture}

        draw[ultra thick,rotate around={198:(-0.80,0.58)}] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;



  end{tikzpicture}



  end{figure}



end{center}



end{document}

You can draw more than one shape in the same tikzpicture:

documentclass[a4paper]{article}



usepackage[brazil]{babel}



usepackage{graphicx}



usepackage{tikz}



begin{document}



 begin{center}



begin{figure}[!htb]



  begin{tikzpicture}



        draw[ultra thick,rotate=18] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;

        begin{scope}[yshift=-3.22cm]

        draw[ultra thick,rotate=198] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;

                end{scope}

                begin{scope}[xshift=3.8cm]

                        draw[ultra thick,rotate=18] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;

                        begin{scope}[yshift=-3.22cm]

                        draw[ultra thick,rotate=198] (0:2) -- (72:2) -- (144:2) -- (216:2) -- (288:2) -- cycle;

                                end{scope}

                end{scope}

  end{tikzpicture}



  end{figure}



end{center}



end{document}

To make things easier, you can use predefined pentagons:

documentclass[a4paper]{article}



usepackage{tikz}

usetikzlibrary{shapes.geometric}



begin{document}



begin{figure}[!htb]

begin{tikzpicture}[every node/.append style={regular polygon, regular polygon sides=5, minimum size=4cm, draw,ultra thick}]

    node at (0,0) {};

    node at (3.8,0) {};    

    node[rotate=180] at (0,-3.22) {};  

    node[rotate=180] at (3.8,-3.22) {};        

end{tikzpicture} 

end{figure}



end{document} 

Off-topic: please note that placing a floating figure environment inside a non-floating center environment does not make much sense..

Similar answer to @samcarter, but using named nodes -- avoids having to calculate the distances. My motto: Let TikZ do the work!

documentclass{article}



usepackage{tikz}



usetikzlibrary{shapes.geometric}

%% The size can easily altered by changing the minimum size

tikzset{pgon/.style={regular polygon,regular polygon sides=5,minimum size=1in,draw,ultra thick,outer sep=0pt}}



begin{document}



tikz{%

    node[pgon] (S) at (0,0) {};

    node[pgon,anchor=corner 2] (A) at (S.corner 5) {};

    %% The yshift accounts for the thickness of an ultra thick rule

    node[pgon,rotate=180,anchor=corner 4] (B) at (S.corner 3) {};

    node[pgon,rotate=180,anchor=corner 4] (C) at (A.corner 3) {};

    draw[fill=purple!50] (S.corner 5) -- 

            (A.corner 3) -- 

            (C.corner 5) -- 

            (S.corner 4) -- cycle;

}



end{document}