Icosahedral models of rotational symmetry

Icosahedral models (left to right) on fivefold, threefold, and
twofold axes of rotational symmetry (Copyright © 1996 The University of
Texas Medical Branch at Galveston)
Helical Symmetry
Single stranded RNA viruses such as paramyxoviruses, orthomyxoviruses and
rhabdoviruses have helical symmetry
The capsid is in form of a helix
Helical viruses resemble long rods that may be rigid or flexible
The flexuous helical nucleocapsid is always contained within a lipoprotein envelope
The envelope is lined internally by a matrix protein (M-protein)
The M-protein may be rigid as in the case of bullet shaped rhabdoviruses or readily
distorted as in orthomyxoviruses and paramyxoviruses
The capsid of helical viruses is formed by the insertion of protein units between each
turn of the nucleic acid helix.
The capsid protein helix thus coincides with that of the nucleic acid and the length of the
helix is determined by the length of the RNA molecule
Helical capsid devoid of nucleic acid cannot be formed.
In RNA viruses, each capsomere consists of a single polypeptide molecule

The helical structure of the rigid tobacco mosaic virus rod (Copyright © 1996 The
University of Texas Medical Branch at Galveston)
Complex Symmetry
Large viruses with large genome have complicated symmetry

For example, poxviruses have complex symmetry which is neither icosahedral nor helical

For more about symmetry. please see previous post.

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