Funes el memorioso

\documentclass{article}

% For fancy drawing
\usepackage{tikz, subfigure}

\usepackage[papersize={140mm, 100mm}, text={130mm, 90mm}]{geometry}

% order: \order[st]{1}, \order{k}
\newcommand{\order}[2][th]{\ensuremath{{#2}^{\mathrm{#1}}}}

\begin{document}
\pagestyle{empty}
\begin {figure}[h]
  \centering
  \subfigure[staying inside the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=black},
      ]
      
      \coordinate (O) at (3cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (2cm, 0cm);
      \coordinate (K) at (4cm, 0cm);
      
      \coordinate (A) at (0cm, 0cm);
      \coordinate (B) at (5cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j$};
      \node [below] at (J) {$0$};
      \node [below] at (O) {$k$};
   \end{tikzpicture}
  }
  \qquad\qquad
  \subfigure[stretching beyond the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=black},
      ]
      
      \coordinate (O) at (3cm, 0cm);
      \coordinate (J) at (0cm, 0cm);
      \coordinate (L) at (1cm, 0cm);
      \coordinate (K) at (2cm, 0cm);
      
      \coordinate (A) at (-1cm, 0cm);
      \coordinate (B) at (4cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j'$};
      \node [below] at (O) {$j$};      
      \node [below] at (J) {0};
    \end{tikzpicture}
  }
 \caption{The $\order{(i+1)}$ segment folded to the right}
\end{figure}

\begin {figure}[h]
  \centering
  \subfigure[staying inside the folding]{
    \begin{tikzpicture}
      [
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=gray!50},
      ]
      
      \coordinate (O) at (2cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (3cm, 0cm);
      \coordinate (K) at (4cm, 0cm);
      
      \coordinate (A) at (0cm, 0cm);
      \coordinate (B) at (5cm, 0cm);
      \node at (A) {};
      \node at (B) {};

      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j$};
      \node [below] at (J) {$0$};
      \node [below] at (O) {$k$};
    \end{tikzpicture}
  }
  \qquad\qquad
  \subfigure[stretching beyond the folding]{
    \begin{tikzpicture}
      [
      border/.style = {draw=gray!90, thick},
      line/.style = {draw, thick},
      arrow/.style = {draw, semithick, -latex},
      dot/.style = {draw, fill=gray!50},
      ]
      
      \coordinate (O) at (0cm, 0cm);
      \coordinate (J) at (1cm, 0cm);
      \coordinate (L) at (2cm, 0cm);
      \coordinate (K) at (3cm, 0cm);
      
      \path [arrow] ([yshift=2mm]L) -- node [above] {$\ell_{i+1}$} ([yshift=2mm]O);
      \path [line] (J) -- (K);
      
      \fill [dot] (J) circle (.3mm);
      \fill [dot] (L) circle (.3mm);
      \fill [dot] (K) circle (.3mm);
      
      \node [below] at (J) {$0$};
      \node [below] at (L) {$k'$};
      \node [below] at (K) {$j'$};
      \node [below] at (O) {$k'-\ell_{i+1}$};
      
      \path [border] (O) -- ([yshift=3mm]O);
    \end{tikzpicture}
  }
  \caption{The $\order{(i+1)}$ segment folded to the left}
\end{figure}
\end{document}