Properties of Decapod Defects

Tomonari Dotera, Hyeong-Chai Jeong and Paul J. Steinhardt

Methods of Structural Analysis of Modulated Structures and Quasicrystals,
J.M.Perez-Mato, F.J.Zuniga and G.Madariaga eds. World Scientific (1991), pp.660-666


We present some results from an ongoing analysis of "decapod defects" in Penrose tilings. This class of topological defects, which appears to be unique to quasiperiodic systems, may play an important role in the rapid growth of large, near-perfect quasicrystals and in the phase transformation from quasicrystals to crystals.