\documentclass{standalone}
\usepackage{cartonaugh}
\begin{document}
  % test default(should only draw on 0th submap)
  \begin{cartonaugh}[4][4][1]
    \implicantcorner
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantcorner
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantcorner
  \end{cartonaugh}
  % draw on 0th and 2nd submaps(when possible)
  \begin{cartonaugh}[4][4][1]
    \implicantcorner[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantcorner[0,2]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantcorner[0,2]
  \end{cartonaugh}
  % draw multiple different implicants
  \begin{cartonaugh}[4][4][1]
    \implicantcorner[0]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][2]
    \implicantcorner[0]
    \implicantcorner[1]
  \end{cartonaugh}
  \begin{cartonaugh}[4][4][4]
    \implicantcorner[0]
    \implicantcorner[1]
    \implicantcorner[2]
    \implicantcorner[3]
  \end{cartonaugh}
\end{document}
