I would like to draw a path of grey along the tiks nodes of my lattices. I tried with drawing double line and filling them, but it didn't look right. Then I found this:

[How do I draw a path of grey background through elements of a matrix?](https://tex.stackexchange.com/questions/309770/how-do-i-draw-a-path-of-grey-background-through-elements-of-a-matrix)

It seem cleaner than what I did, but the problem of look stay the same. I'll post what I have now.

```
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[french]{babel}
\usepackage{amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{url}
\usepackage{enumitem}
\usepackage{xcolor}
\usepackage{color}
\usepackage{hyperref}
\usepackage{fancyhdr}
\usepackage{titlesec}
\usepackage{tikz}
\usetikzlibrary{shapes}
\usepackage[margin=1.3in]{geometry}
\setlength{\skip\footins}{1cm}

\begin{document}

\begin{center}
\begin{tikzpicture}[node distance=2cm, strip/.style={draw=gray, rounded corners=1mm, line width=1.5cm, opacity=0.5, line cap=round }]

    \tikzset{
    every node/.style={
        draw=black, circle, circle,minimum size=1cm, fill=orange, fill opacity=0.8, text opacity=1
    }}

    % First, locate each of the nodes and name them
    \node [] (void) at (0,0) {$\varnothing$};

    \node [above  of=void] (y)  {$y$};
    \node [left  of=y] (x) {$x$};
    \node [right of=y] (z) {$z$};

    \node [above of=x] (xy) {$xy$};
    \node [above of=y] (xz) {$xz$};
    \node [above of=z] (yz) {$yz$};

    \node [above of=xz] (xyz) {$xyz$};

    %Testfield
    \draw [double distance = 1.3cm, thin, opacity=0.5, line cap=round] (void) -- (x) -- (xy) -- (xyz);

    % First, locate each of the nodes and name them
    \node [] (void) at (0,0) {$\varnothing$};

    \node [above  of=void] (y)  {$y$};
    \node [left  of=y] (x) {$x$};
    \node [right of=y] (z) {$z$};

    \node [above of=x] (xy) {$xy$};
    \node [above of=y] (xz) {$xz$};
    \node [above of=z] (yz) {$yz$};

    \node [above of=xz] (xyz) {$xyz$};

    % Now draw the lines:
    \draw [black, thick] (void) -- (x);
    \draw [black, thick] (void) -- (y);
    \draw [black, thick] (void) -- (z);

    \draw [black, thick] (x) -- (xy);
    \draw [black, thick] (y) -- (xy);

    \draw [black, thick] (x) -- (xz);
    \draw [black, thick] (z) -- (xz);

    \draw [black, thick] (y) -- (yz);
    \draw [black, thick] (z) -- (yz);

    \draw [black, thick] (xy) -- (xyz);
    \draw [black, thick] (xz) -- (xyz);
    \draw [black, thick] (yz) -- (xyz);

\end{tikzpicture}
\end{center}

\end{document}

```

I also used some shenanigans so that the grey is in the background, but I was planning on cleaning that up when I had what I wanted.