Icosahedral coincidence rotations

Johannes Roth; Reinhard Lück

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arXiv · cond-mat/9706115

Icosahedral coincidence rotations

Johannes Roth·Reinhard Lück

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Abstract

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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Johannes Roth, Reinhard Lück. 1997-06-12. Icosahedral coincidence rotations. https://arxiv.org/abs/cond-mat/9706115

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