Icosahedral symmetry refers to a geometric arrangement seen in some viruses where their structure exhibits a symmetrical shape based on an icosahedron, which has 20 triangular faces. This type of symmetry is significant because it allows for efficient packing of viral proteins and maximizes stability while minimizing the amount of genetic material required for construction. Viruses with icosahedral symmetry can be classified into different families based on their shape, structure, and evolutionary characteristics.