Abstract
A general theory for special lines in quasilattices is developed. Using the theory, the author classifies completely the special lines of the three Bravais classes of icosahedral quasilattices in three dimensions and another three of n-gonal quasilattices in two dimensions, where n=8, 10 and 12. He establishes compatibility relationships between the classes of special lines and those of special points for each of the six Bravais classes of quasilattices.
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