# Add new node outside of polygonal commutative diagram

My code so far is

\begin{center}
\begin{tikzpicture}
[
border rotated/.style = {shape border rotate=180}
]
\node[
regular polygon,
regular polygon sides=5,
border rotated,
minimum width=30mm,
] (PG) {}
(PG.corner 1) node (PG9) {$0$}
(PG.corner 2) node (PG3) {$\Omega^3$}
(PG.corner 3) node (PG2) {$\Omega^2$}
(PG.corner 4) node (PG1) {$\Omega^1$}
(PG.corner 5) node (PG0) {$\Omega^0$}
;
\draw[->] (PG0) -- (PG3) node [midway,below] {$\star$};
\draw[transform canvas={yshift=-0.5ex},->](PG1) -- (PG2) node [midway,below] {$\star$};
\draw[transform canvas={yshift=0.5ex},->] (PG1) -- (PG2) node [midway,above] {$\mathrm d$};
\draw[->] (PG9) -- (PG0) node [midway,sloped,below] {$\mathrm d$};
\draw[->] (PG0) -- (PG1) node [midway,sloped,above] {$\mathrm d$};
\draw[->] (PG2) -- (PG3) node [midway,sloped,above] {$\mathrm d$};
\draw[->] (PG3) -- (PG9) node [midway,sloped,below] {$\mathrm d$};
\end{tikzpicture}
\end{center}


This produces a pentagonal commutative diagram like

Now I want to add a new node, labeled $\Gamma$, "north-west" of the one labeled $\Omega^1$, with two labeled arrows connecting it to $\Omega^1$, in different directions. How do I do this?

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{shapes.geometric,positioning}
\begin{document}

\begin{tikzpicture}
[
border rotated/.style = {shape border rotate=180}
]
\node[
regular polygon,
regular polygon sides=5,
border rotated,
minimum width=30mm,
] (PG) {}
(PG.corner 1) node (PG9) {$0$}
(PG.corner 2) node (PG3) {$\Omega^3$}
(PG.corner 3) node (PG2) {$\Omega^2$}
(PG.corner 4) node (PG1) {$\Omega^1$}
(PG.corner 5) node (PG0) {$\Omega^0$}
;
\draw[->] (PG0) -- (PG3) node [midway,below] {$\star$};
\draw[transform canvas={yshift=-0.5ex},->](PG1) -- (PG2) node [midway,below] {$\star$};
\draw[transform canvas={yshift=0.5ex},->] (PG1) -- (PG2) node [midway,above] {$\mathrm d$};
\draw[->] (PG9) -- (PG0) node [midway,sloped,below] {$\mathrm d$};
\draw[->] (PG0) -- (PG1) node [midway,sloped,above] {$\mathrm d$};
\draw[->] (PG2) -- (PG3) node [midway,sloped,above] {$\mathrm d$};
\draw[->] (PG3) -- (PG9) node [midway,sloped,below] {$\mathrm d$};
\node[above left=1cm of PG1] (Gamma) {$\Gamma$};
\draw[transform canvas={yshift=-{0.5/sqrt(2)*1ex},xshift=-{0.5/sqrt(2)*1ex}},->](PG1) -- (Gamma);
\draw[transform canvas={yshift={0.5/sqrt(2)*1ex},xshift={0.5/sqrt(2)*1ex}},<-] (PG1) -- (Gamma);
\end{tikzpicture}
\end{document}

• Hi, ingredients as: garlic, tomato, and spices? :-) +1. Apr 24, 2018 at 8:51
• @Sebastiano LOL ;-)
– user121799
Apr 24, 2018 at 8:52