Abstract
Polytopes of the highest dimension corresponding to sugar molecules with five and six carbon atoms have been constructed. Based on the study of the geometry of these polytopes of dimensions 12 and 15, simplified three-dimensional models of sugar with five and six carbon atoms were obtained, and the chains of these molecules were analyzed. The geometry of protein molecules in various conformations was investigated, taking into account their highest dimension. It was found that Pauling's quasi-flat models do not reflect the spatial structures of the polypeptide chains of protein molecules. An opinion was expressed that the highest dimension of biomolecules is a consequence of the conditions for the emergence of life from the LUCA protocells more than 4.5 million years ago.
Reference44 articles.
1. Corey, R. B., & Pauling, L. (1953). Fundamental dimensions of polypeptid chains. Proc R Soc Lord B Biol Sci, 141(902), 10-20.
2. DickersonR. E.GeisI. (1969). The Structure and Action of Proteins. Benjamin.
3. EisenbergD.KautsmanV. (1975). Structure and properties of water. Gidrometyoizdat.
4. ErshovY. A. (1989). Mechanisms of toxic action of inorganic compounds. Medicine.
5. Periodic and quasiperiodic crystals