%0 Journal Article
%T Icosahedral coincidence rotations
%A Johannes Roth
%A Reinhard L¨ąck
%J Physics
%D 1997
%I arXiv
%X 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.
%U http://arxiv.org/abs/cond-mat/9706115v1