\documentclass{standalone}
\usepackage{cartonaugh}
\begin{document}
  % vertical and horizontal implicants(when possible), default submap
  \begin{cartonaugh}[2][4][1]
    \implicantedge{0}{1}{4}{5}
  \end{cartonaugh}
  \begin{cartonaugh}[4][2][1]
    \implicantedge{1}{3}{5}{7}
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][1]
    \implicantedge{1}{3}{9}{11}
    \implicantedge{4}{12}{6}{14}
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantedge{1}{3}{9}{11}
    \implicantedge{4}{12}{6}{14}
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantedge{1}{3}{9}{11}
    \implicantedge{4}{12}{6}{14}
  \end{cartonaugh}
  % draw on 0th and 2nd submaps(when possible)
  \begin{cartonaugh}[2][4][1]
    \implicantedge{0}{1}{4}{5}[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][2][1]
    \implicantedge{1}{3}{5}{7}[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][1]
    \implicantedge{1}{3}{9}{11}[0,2]
    \implicantedge{4}{12}{6}{14}[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantedge{1}{3}{9}{11}[0,2]
    \implicantedge{4}{12}{6}{14}[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantedge{1}{3}{9}{11}[0,2]
    \implicantedge{4}{12}{6}{14}[0,2]
  \end{cartonaugh}
  % draw multiple different implicants
  \begin{cartonaugh}[2][4][1]
    \implicantedge{0}{1}{4}{5}[0]
  \end{cartonaugh}
  \begin{cartonaugh}[4][2][1]
    \implicantedge{1}{3}{5}{7}[0]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][1]
    \implicantedge{1}{3}{9}{11}[0]
    \implicantedge{4}{12}{6}{14}[0]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantedge{1}{3}{9}{11}[0]
    \implicantedge{4}{12}{6}{14}[0]
    \implicantedge{1}{3}{9}{11}[1]
    \implicantedge{4}{12}{6}{14}[1]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantedge{1}{3}{9}{11}[0]
    \implicantedge{4}{12}{6}{14}[0]
    \implicantedge{1}{3}{9}{11}[1]
    \implicantedge{4}{12}{6}{14}[1]
    \implicantedge{1}{3}{9}{11}[2]
    \implicantedge{4}{12}{6}{14}[2]
    \implicantedge{1}{3}{9}{11}[3]
    \implicantedge{4}{12}{6}{14}[3]
  \end{cartonaugh}
\end{document}
