\documentclass[tikz]{standalone}

\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\usetikzlibrary{patterns}
\begin{document}

\begin{tikzpicture}

%%% LHS diagram
% draws UG_{n-1}
\draw (0,0) to (1,0) to (1,4) to (0,4) to (0,0);
\draw (0,1) to (1,1);
\draw (0,3) to (1,3);
\draw (0,4) to (1,2);
\draw (1,0) to (0,2);

\node[scale=1] at (0.5,2) {$\vdots$};
\node[scale=0.75,yshift=3pt,xshift=3pt] at (0.5,3.5) {$i_{n-1}$};
\node[scale=0.75] at (0.5,0.5) {$i_{1}$};

\draw[ultra thick,orange] (0,4) to (1,4);

%draws UG_n
\draw (3,0) to (4,0) to (4,5) to (3,5) to (3,0);
\draw (3,1) to (4,1);
\draw (3,3) to (4,3);
\draw (3,4) to (4,4);
\draw (3,5) to (4,3);
\draw (4,0) to (3,2);
\draw (3,4) to (4,2);

\node[scale=1] at (3.5,2) {$\vdots$};
\node[scale=0.75] at (3.5,0.5) {$i_{1}$};
\node[scale=0.75,yshift=3pt,xshift=3pt] at (3.5,4.5) {$i_{n}$};

\draw[ultra thick,orange] (3,4) to (3,5);
\draw[ultra thick,orange] (4,4) to (4,5);

% puts correspondence arrow between UG_{n-1} and UG_{n}
\node[scale=2.5] at (2,2.5) {$\Longleftrightarrow$};

%%% RHS diagram
% draws UG_{n-1}
\draw (6,0) to (7,0) to (7,4) to (6,4) to (6,0);
\draw (6,1) to (7,1);
\draw (6,3) to (7,3);
\draw (6,4) to (7,2);
\draw (7,0) to (6,2);

\node[scale=1] at (6.5,2) {$\vdots$};
\node[scale=0.75,yshift=3pt,xshift=3pt] at (6.5,3.5) {$i_{n-1}$};
\node[scale=0.75] at (6.5,0.5) {$i_{1}$};

\draw[ultra thick, orange] (6,4) to (7,2);
\draw[ultra thick, orange] (7,4) to (7,3);

%draws UG_n
\draw (9,0) to (10,0) to (10,5) to (9,5) to (9,0);
\draw (9,1) to (10,1);
\draw (9,3) to (10,3);
\draw (9,4) to (10,4);
\draw (9,5) to (10,3);
\draw (10,0) to (9,2);
\draw (9,4) to (10,2);

\node[scale=1] at (9.5,2) {$\vdots$};
\node[scale=0.75] at (9.5,0.5) {$i_{1}$};
\node[scale=0.75,yshift=3pt,xshift=3pt] at (9.5,4.5) {$i_{n}$};

\draw[ultra thick, orange] (9,4) to (10,2);
\draw[ultra thick, orange] (10,3) to (10,4);
\draw[ultra thick, orange] (9,5) to (10,5);

% puts correspondence arrow between UG_{n-1} and UG_{n}
\node[scale=2.5] at (8,2.5) {$\Longleftrightarrow$};
\end{tikzpicture}

\end{document}