Before revision:  The Wang shift \Omega _{12 subshift X_0 of the Jeandel-Rao tilings \Omega_0 . The subshift X_0 \Omega_0 is proper due to some horizontal fracture of 0's or 1's in tilings in \Omega_0 and we believe that \Omega_0\setminus X_0 is a null set . Algorithms are provided to find markers, recognizable substitutions and sheering topological conjugacy from a set of Wang tiles.
After revision:  The Wang shift \Omega _{12 subshift X_0 of the Jeandel-Rao  \Omega_0 is proper due to some horizontal fracture of 0's or 1's in tilings in \Omega_0 and we believe that \Omega_0\setminus X_0 is a null set . Algorithms are provided to find markers, recognizable substitutions and sheering topological conjugacy from a set of Wang tiles.