Is there an easy way I can connect the vertices of these graphs using the code I have? In other words, I want to connect the first node of the smaller decagon with the first node of the larger decagon, the second node of the smaller decagon with the second node of the larger decagon, etc.
\documentclass{article}
\usepackage{tikz}
\begin{document}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes.geometric, positioning, calc}
\tikzset{main node/.style={circle,fill=black,draw,minimum size=.2cm,inner sep=0pt},}
\tikzset{mynode/.style={circle, radius=.25pt, draw=darkgray, fill=white}}
\begin{center}
\begin{tikzpicture}
\node[draw, minimum size=2cm, regular polygon, regular polygon sides=10] (epta) {};
\foreach \x in {1,2,...,10}{%
\node[mynode] at (epta.corner \x) (e\x) [fill=black,scale=0.5] {};}
\node[draw, minimum size=4cm, regular polygon, regular polygon sides=10] (epta) {};
\foreach \y in {1,2,...,10} {%
\node[mynode] at (epta.corner \y) (e\y) [fill=black,scale=0.5] {};}
\end{tikzpicture}
\end{center}
\end{document}