Graphical Geodesic Lines Applied for Some Quasiperiodic Tiling

Tohru Ogawa, Yoshinori Watanabe

The graphical geodesic line (GGL) is a tool of characterizing some feature in intermediate range order of 2D structure. In 1990, the GGL analysis of the triangulated Penrose tiling was perfectly carried out by one of the authors (TO) and R. Collins. Now it is applied to the octagonal quasiperiodic tiling. The situation is different from the former case and a kind of chaotic behavior in a digital space takes place.