Icosahedral Quasicrystals and Quantum Structural Diagrams

Abstract
Stable crystalline compound analogs of ternary quasicrystals are successfully isolated by quantum structural diagrams, which also predict many possible new quasicrystals. Physical mechanisms responsible for the formation and certain features of quasicrystals are suggested, including the six-dimensionality of the hypercubic protolattices.