The Geometric And Topological Models Of The Icosahedral Virus Capsid Structures

Virus is a class of non-cell organisms between life and non-life. The structure of most of the viral capsid protein according to the principles of physics and geometry can be assembled into a regular geometric accumulation-symmetrical icosahedral capsid. Viruses’Triangulation Number T shows the relationship between the the various icosahedral virus total shell particles and the total protein subunits, and can be used to describe and the classified spherical virus capsid structure.Icosahedral virus has a very regular structure, you can use the principle of "quasi-equivalent" to its structure geometry simulation. This article describes how to construct a reasonable theoretical model to describe the structure of the viral protein capsid, and calculate the inter-linkages between the model elements. Grid map drawn according to certain rules, according to the actual situation of the viral capsid pentamer shell particles with pentagonal portrayed hexamer shell particles with a hexagonal portrayed, the gap between the shell particles are filled with quadrilateral or triangular, the trellis happens to be extended Goldberg polyhedron, then the polyhedron construct a polyhedron link on the the polyhedron link Seifert structure, calculated the new Euler’s formula:s+μ=c+2.