Icosahedral Cytoplasmic Deoxyriboviruses

Crystallography of Icosahedral Crystals

The crystallography of icosahedral crystals is constructed. The actual three-dimensional crystal is represented by a three-dimensional cut in a regular six-dimensional periodic crystal with symmetry described by a six-dimensional space group, and the positions of atoms correspond to an arrangement of hypersurface segments. The resulting crystal can not in general be viewed as a space-filling ar...

More icosahedral fulleroids

Icosahedral coincidence rotations

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 …S-factors† and present a complete list of the possible rotations with S < 50.

Icosahedral Galois Representations

Modularity of an Odd Icosahedral