# arrows in xymatrix are not terminating and originated from center

I am trying to make a Cayley graph of $D_{5}$ with the help of xymatrix package. However the arrows are not align to center of objects. Is there a way to do so?

$$\xymatrixrowsep{0.01in} \xymatrixcolsep{0.02in} \xymatrix{ & & & & \reflectbox{\includegraphics[scale=0.1, angle=0, origin=c]{figures/poly5.jpg}} \ar[ddllll] \ar@{<->}[dd] \\ \\ \reflectbox{\includegraphics[scale=0.1, angle=72, origin=c]{figures/poly5.jpg}} \ar[dddddrr] \ar@{<->}[drr] & & & & \includegraphics[scale=0.1, angle=0, origin=c]{figures/poly5.jpg} \ar[dll] & & & & \reflectbox{\includegraphics[scale=0.1, angle=288, origin=c]{figures/poly5.jpg}} \ar[lllluu] \ar@{<->}[lld] \\ & & \includegraphics[scale=0.1, angle=72, origin=c]{figures/poly5.jpg} \ar[ddr] && && \includegraphics[scale=0.1, angle=288, origin=c]{figures/poly5.jpg} \ar[ull] \\ \\ & & & \includegraphics[scale=0.1, angle=144, origin=c]{figures/poly5.jpg} \ar[rr] && \includegraphics[scale=0.1, angle=216, origin=c ]{figures/poly5.jpg} \ar[uur] \\ \\ & & \reflectbox{\includegraphics[scale=0.1, angle=144, origin=c]{figures/poly5.jpg}} \ar[rrrr] \ar@{<->}[ruu] & & & & \reflectbox{\includegraphics[scale=0.1, angle=216, origin=c ]{figures/poly5.jpg}} \ar[rruuuuu] \ar@{<->}[luu] }$$


Welcome to TeX.SE! You only need to wrap the graphics into \vcenter{\hbox{...}}. I do not have your jpg file, so when compiled on my machine the output looks a bit different. ;-)

\documentclass{article}
\usepackage[all]{xy}
\begin{document}
$\xymatrixrowsep{0.01in} \xymatrixcolsep{0.02in} \xymatrix{ & & & & \vcenter{\hbox{\reflectbox{\includegraphics[scale=0.1, angle=0, origin=c]{figures/poly5.jpg}}}} \ar[ddllll] \ar@{<->}[dd] \\ \\ \vcenter{\hbox{\reflectbox{\includegraphics[scale=0.1, angle=72, origin=c]{figures/poly5.jpg}}}} \ar[dddddrr] \ar@{<->}[drr] & & & & \vcenter{\hbox{\includegraphics[scale=0.1, angle=0, origin=c]{figures/poly5.jpg}}} \ar[dll] & & & & \vcenter{\hbox{\reflectbox{\includegraphics[scale=0.1, angle=288, origin=c]{figures/poly5.jpg}}}} \ar[lllluu] \ar@{<->}[lld] \\ & & \vcenter{\hbox{\includegraphics[scale=0.1, angle=72, origin=c]{figures/poly5.jpg}}} \ar[ddr] && && \vcenter{\hbox{\includegraphics[scale=0.1, angle=288, origin=c]{figures/poly5.jpg}}} \ar[ull] \\ \\ & & & \vcenter{\hbox{\includegraphics[scale=0.1, angle=144, origin=c]{figures/poly5.jpg}}} \ar[rr] && \vcenter{\hbox{\includegraphics[scale=0.1, angle=216, origin=c ]{figures/poly5.jpg}}} \ar[uur] \\ \\ & & \vcenter{\hbox{\reflectbox{\includegraphics[scale=0.1, angle=144, origin=c]{figures/poly5.jpg}}}} \ar[rrrr] \ar@{<->}[ruu] & & & & \vcenter{\hbox{\reflectbox{\includegraphics[scale=0.1, angle=216, origin=c ]{figures/poly5.jpg}}}} \ar[rruuuuu] \ar@{<->}[luu] }$
\end{document}


However, I would not use xy-matrix for that. With TikZ you can arrange the polygons in a polygon shape.

\documentclass[border=3.14mm,tikz]{standalone}
\usetikzlibrary{shapes.geometric}
\newsavebox\Poly
\sbox\Poly{\tikz{\node[draw,minimum size=3.14cm,regular polygon,regular polygon sides=5,fill=cyan!30]
(poly){};
\foreach \X [count=\Y] in {blue,red,yellow,black,green!60!black}
{\draw[fill=\X] (poly.corner \Y) circle(1mm);}}}
\begin{document}
\begin{tikzpicture}
\node[minimum size=10cm,regular polygon,regular polygon sides=5]
(outer poly){};
\node[minimum size=6cm,regular polygon,regular polygon sides=5]
(inner poly){};
\foreach \X in {1,...,5}
{\node[scale=0.3,rotate={72*(1-\X)},inner sep=0pt] (outer-\X) at (outer poly.corner \X) {\usebox\Poly};
\node[scale=0.3,rotate={72*(1-\X)},xscale=-1,inner sep=0pt] (inner-\X) at (inner poly.corner \X) {\usebox\Poly};
}
\foreach \X [evaluate=\X as \Y using {int(1+mod(\X+3,5))}]in {1,...,5}
{\draw[-latex] (outer-\Y) -- (outer-\X);
\draw[-latex] (inner-\X) -- (inner-\Y);
\draw[latex-latex] (inner-\X) -- (outer-\X); }
\end{tikzpicture}
\end{document}