Gray Code in 4-cube

Depicts a Gray code traversing all the nodes of a 4-dimensional hypercube. See http://yury.chebiryak.name/hypercubes.htm for more details.

Edit and compile if you like:

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% Gray Code in 4-cube
% Author: Yury Chebiryak 
\documentclass{article}
\usepackage{tikz}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{5pt}%
\begin{document}
\pagestyle{empty}
 \begin{figure}[bt]
 \centering
 \scalebox{0.6}
 {
 \begin{tikzpicture}[scale=5]
     \tikzstyle{vertex}=[circle,minimum size=20pt,inner sep=0pt]
     \tikzstyle{selected vertex} = [vertex, fill=red!24]
     \tikzstyle{selected edge} = [draw,line width=5pt,-,red!50]
     \tikzstyle{edge} = [draw,thick,-,black]
     \node[vertex] (v0) at (0,0) {$0000$};
     \node[vertex] (v1) at (0,1) {$0001$};
     \node[vertex] (v2) at (1,0) {$0010$};
     \node[vertex] (v3) at (1,1) {$0011$};
     \node[vertex] (v4) at (0.23, 0.4) {$0100$};
     \node[vertex] (v5) at (0.23,1.4) {$0101$};
     \node[vertex] (v6) at (1.23,0.4) {$0110$};
     \node[vertex] (v7) at (1.23,1.4) {$0111$};
     \node[vertex] (v8) at (-1,-1) {$1000$};
     \node[vertex] (v9) at (-1,2) {$1001$};
     \node[vertex] (v13) at (-0.66,2.7) {$1101$};
     \node[vertex] (v12) at (-0.66,-0.3) {$1100$};
     \node[vertex] (v10) at (2,-1) {$1010$};
     \node[vertex] (v14) at (2.34,-0.3) {$1110$};
     \node[vertex] (v11) at (2,2) {$1011$};
     \node[vertex] (v15) at (2.34,2.7) {$1111$};
     \draw[edge] (v0) -- (v1) -- (v3) -- (v2) -- (v0);
     \draw[edge] (v0) -- (v4) -- (v5) -- (v1) -- (v0);
     \draw[edge] (v2) -- (v6) -- (v7) -- (v3) -- (v2);
     \draw[edge] (v4) -- (v6) -- (v7) -- (v5) -- (v4);
     \draw[edge] (v8) -- (v9) -- (v13) -- (v12) -- (v8);
 
 
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