Icosahedral coincidence rotations

Details Icosahedral coincidence rotations Icosahedral coincidence rotations

1997-06-12

arxiv.org/abs/cond-mat/9706115v1

Physics

Condensed Matter

A version with abbreviated tables will occur in Z.Krist

Scientific paper

The coincidence problem for three-dimensional discrete structures with icosahedral symmetry is reinvestigated. We present a parametric description of the coincidence rotations based on special quaternions, called icosian numbers. In particular, we give a characterization of the possible coincidence indices (Sigma-factors) and present a complete list of the possible rotations with Sigma < 100.

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