Before revision:  The study of such mother bodies was originally from Mathematical Physics, initiated by Zidarov \mbox{%DIFAUXCMD Zidarov:1990hr and developed by Bj\"{o}rn Gustafson and Makoto Sakai \mbox{%DIFAUXCMD GustafssonSakai:1999hr . In this paper, we explore the mother bodies for convex polyhedra in two dimensions and present an algorithm to find them.
After revision:  The study of such mother bodies was originally from Mathematical Physics, initiated by Zidarov \mbox{%DIFAUXCMD Zidarov:1990hr and developed by Bj\"{o}rn Gustafson and Makoto Sakai . In this paper, we explore the mother bodies for convex polyhedra in two dimensions and present an algorithm to find them.