Icosahedral coincidence rotations
Condensed Matter
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/9706115,
title = {Icosahedral coincidence rotations},
author = {Johannes Roth and Reinhard Lück},
journal= {arXiv preprint arXiv:cond-mat/9706115},
year = {2007}
}
Comments
A version with abbreviated tables will occur in Z.Krist