Icosadeltahedral geometry of fullerenes, viruses and geodesic domes
Abstract
I discuss the symmetry of fullerenes, viruses and geodesic domes within a unified framework of icosadeltahedral representation of these objects. The icosadeltahedral symmetry is explained in details by examination of all of these structures. Using Euler's theorem on polyhedra, it is shown how to calculate the number of vertices, edges, and faces in domes, and number of atoms, bonds and pentagonal and hexagonal rings in fullerenes. CasparKlug classification of viruses is elaborated as a specific case of icosadeltahedral geometry.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.3527
 Bibcode:
 2007arXiv0711.3527S
 Keywords:

 Physics  Popular Physics;
 Condensed Matter  Soft Condensed Matter;
 Physics  Biological Physics;
 Quantitative Biology  Biomolecules