TikZ: Centering dash pattern between two nodes

Is there a way to draw a dashed pattern between two nodes taking the middle point of these two nodes as the center point?

This is my code:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsthm,amsmath,amssymb,authblk,tikz,graphicx}
\usetikzlibrary{shapes,decorations,circuits.logic.US,circuits.logic.IEC,fit,external}
\tikzstyle{loosely dashed}=[dash pattern=on 4pt off 8pt]
\tikzstyle{loosely dashed2}=[dash pattern=on 4pt off 8pt]

\begin{document}

\begin{figure}
\centering
\begin{tikzpicture}[every node/.style = {draw=none, text=black, circle, minimum size = 13mm, fill=gray!25}]
\path
(0,3) node(y) {$Y$}
(-1.5,0) node[draw, line width=1pt](x1) {$X_1$}
(1.5,0) node[draw, line width=1pt](x2) {$X_2$};
\draw [line width=1pt,-,black] (y) -- (x1);
\draw [line width=1pt,-,black] (y) -- (x2);
\draw [line width=3pt,-,loosely dashed,black] (x1) to[bend right=40] (x2);
\end{tikzpicture}
\end{figure}

\end{document}


And the resulting figure:

It can clearly be seen that the dash from the X1 node is longer than that from the X2 node.

I want the right part of the dashed line to be the mirror image of the left part. Is there a way to do this (preferably regardless of the distance between the nodes, and the thickness or specific pattern of the line)?

• Welcome to TexSE! Did you look at this question? tex.stackexchange.com/q/438299/15036 – Thruston Apr 2 '19 at 10:54
• Try \draw [line width=3pt,-,loosely dashed,black] (x1.east) to[bend right=40] (x2.west); – CarLaTeX Apr 2 '19 at 11:02
• @Thruston, thanks! That was indeed on of the pages I read before submitting this question, unfortunately I was not able to understand in. @CarLaTeX, thanks! This works! (I used \draw [line width=3pt,-,loosely dashed,black] (x1.south east) to[bend right=40] (x2.south west);) – Joost Kruis Apr 2 '19 at 11:08
• @JouleV I can't explain the reason, maybe it works only by chance. Maybe it's somehow a duplicate of tex.stackexchange.com/questions/133271/…. – CarLaTeX Apr 2 '19 at 12:00

There are standard answers, but all of them are very advanced and hard to understand. However, with markings one can "mirror" a half of the curve like this.

\documentclass[tikz]{standalone}
\usetikzlibrary{shapes,decorations,circuits.logic.US,circuits.logic.IEC,fit,external}
\tikzstyle{loosely dashed}=[dash pattern=on 4pt off 8pt]
\tikzstyle{loosely dashed2}=[dash pattern=on 4pt off 8pt]

\begin{document}
\begin{tikzpicture}[every node/.style = {draw=none, text=black, circle, minimum size = 13mm, fill=gray!25}]
\path
(0,3) node(y) {$Y$}
(-1.5,0) node[draw, line width=1pt](x1) {$X_1$}
(1.5,0) node[draw, line width=1pt](x2) {$X_2$};
\draw [line width=1pt,-,black] (y) -- (x1);
\draw [line width=1pt,-,black] (y) -- (x2);
%\draw [line width=3pt,-,loosely dashed,black] (x1.south east) to[bend right=40] (x2.south west);
\path [postaction={
decorate,
decoration={
markings,
mark=at position 0.5 with \coordinate (mid);
}
}] (x1) to[bend right=40] (x2);
\draw[line width=3pt,-,loosely dashed] ([xshift=-4pt]mid) to[out=180,in=-40] (x1);
\draw[line width=3pt,-,loosely dashed] ([xshift=4pt]mid) to[out=0,in=-140] (x2);
\end{tikzpicture}
\end{document}


Another way is to measure the path and then stretch the dash length a bit in such a way that the path ends with a full on. Please also note that \tikzstyle is deprecated.

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\tikzset{
full dash/.style args={on #1 off #2}{
decoration={
markings,
mark=at position 0 with {
\pgfmathsetmacro{\mystretch}{((\pgfdecoratedpathlength-#1)/(#1+#2))/int((\pgfdecoratedpathlength-#1)/(#1+#2))}
\pgfmathsetmacro{\myon}{#1*\mystretch}
\xdef\myon{\myon}
\pgfmathsetmacro{\myoff}{#2*\mystretch}
\xdef\myoff{\myoff}
},
},
preaction={decorate},draw=none,
postaction={draw,dash pattern=on \myon pt off \myoff pt}
},
}
\begin{document}

\begin{figure}
\centering
\begin{tikzpicture}[every node/.style = {draw=none, text=black, circle, minimum size = 13mm, fill=gray!25}]
\path
(0,3) node(y) {$Y$}
(-1.5,0) node[draw, line width=1pt](x1) {$X_1$}
(1.5,0) node[draw, line width=1pt](x2) {$X_2$};
\draw [line width=1pt,-,black] (y) -- (x1);
\draw [line width=1pt,-,black] (y) -- (x2);
\draw [line width=3pt,-,full dash=on 3pt off 6pt,black] (x1) to[bend right=40] (x2);
\end{tikzpicture}
\end{figure}

\end{document}