The three main symmetry of viruses are,
I. Helical (spiral symmetry) : Most of the helical viruses are RNA viruses, that infect plants.
2. Icosahedral (cuboidal) symmetry : These viruses have 12 vertices (corners), 20 facet (sides) and 30 edges.
Example, Adenovirus, Papovirus etc
3. Complex symmetry: Complex viruses have a distinct shape, they cannot be grouped into Helical or icosahedral and consist of many separate units called the capsomeres each having a distinct shape and symmetry.
Example, Pox virus, Bacteriophage etc