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I discuss the symmetry of fullerenes, viruses and geodesic domes within aunified framework of icosadeltahedral representation of these objects. Theicosadeltahedral symmetry is explained in details by examination of all ofthese structures. Using Euler's theorem on polyhedra, it is shown how tocalculate the number of vertices, edges, and faces in domes, and number ofatoms, bonds and pentagonal and hexagonal rings in fullerenes. Caspar-Klugclassification of viruses is elaborated as a specific case of icosadeltahedralgeometry.

Icosadeltahedral geometry of fullerenes, viruses and geodesic domes