Maciá Barber, Enrique Alfonso2024-04-032024-04-032023-12-0110.3390/sym15122139https://hdl.handle.net/20.500.14352/102669Review 2023 Descuentos MDPIFour decades have elapsed since the first quasiperiodic crystal was discovered in the Al-Mn alloy system, and much progress has been made during this time on the science of quasicrystals (QCs). Notwithstanding this, a significant number of open questions still remain regarding both fundamental and technological aspects. For instance: What are QCs good for? How can we improve the current provisional QC definition? What is the role of the underlying quasiperiodic order and the characteristic inflation symmetry of these compounds in the emergence of their unusual physicochemical properties? What is the nature of chemical bonding in QCs formed in different sorts of materials such as alloys, oxides, or organic polymers? Herein these and other closely related issues are discussed from an interdisciplinary perspective as well as prospective future work in the field in the years to come.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article2073-8994https://www.mdpi.com/2073-8994/15/12/2139https://www.mdpi.comopen access548.0:53QuasicrystalsChemical bondingTransport propertiesMagnetismSuperconductivityMetallic phaseSymmetryOrderConductivityRichFísica de materialesQuímica física (Física)2210 Química Física2211 Física del Estado Sólido