Abstract
The principles of algebraic geometry have been applied for the modelling of substances of different natures. A local packing approach provides a tool for constructing not only the special icosa-geodesic 2D tilings of a sphere but also the 3D tilings of spherical layers. The structures of the pseudo-T = 7 polyoma and papilloma viral capsids can thus be modelled. This general approach is applicable to inorganic, organometallic, and biological nanoparticles.
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The authors thank the Russian Foundation for Basic Research, grant 06-03-32469, for financial support.
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Shevchenko, V.Y., Madison, A.E. & Mackay, A.L. A generalized model for the shell structure of icosahedral viruses. Struct Chem 18, 343–346 (2007). https://doi.org/10.1007/s11224-007-9153-2
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DOI: https://doi.org/10.1007/s11224-007-9153-2