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Faceting in bond-oriented glasses and quasicrystals.

If there is any important lesson to be learned from the development of quasicrystals [1], it would be that one should be suspicious of conventional wisdoms. The field of quasicrystals is full of paradox. Nearly all its major developments are marked by puzzles questioning current wisdom. There have been many occasions upon which we have thought we understood the nature of quasicrystals, but were soon confronted with contradicting phenomena. In fact, up to this day, the real physical mechanism for the formation of quasicrystals remains a mystery. On the other hand, through the study of quasicrystals, we have both widened and deepened our understanding of many fundamental concepts and processes in condensed matter physics.