There is a link between mathematics and HIV that goes beyond the geometric structure of the virus, based on the icosahedron.
Denise Kirschner describes this relationship very well in
Using Mathematics to Understand HIV Immune Dynamics:
Since the early 1980s there has been a tremendous effort made in the mathematical modeling of the human immunodeficiency virus (HIV), the virus which causes AIDS (Acquired Immune Deficiency Syndrome). The approaches in this endeavor have been twofold; they can be separated into the epidemiology of AIDS as a disease and the immunology of HIV as a pathogen (a foreign substance detrimental to the body).
The paper focuses on HIV immunology:
Our goal then is to better understand the interaction of HIV and the human immune system for the purpose of testing treatment strategies.
The behavior of the immune system is schematized in this way:
