The Canonical Table of the Genetic Code as a periodic system of triplets

The Canonical Table of the Genetic Code (CTGC) is constructed theoretically on the basis of the similarity of PFs (PF) of proteins with the conformation of 4-arc chain graphs (Karasev, 2019). Of the 64 conformations of the graph, specified by the position of the connectivity edges, and the matrices of 6 variables (x₁ … x₆), x_i = (0, 1), 4 blocks of 16 elements each were formed. Then they were coded in the form of triplets based on the correspondence of pairs of variables to four letters of the code: 00 = C, 01 = U, 10 = G, 11 = A, and supplemented based on the known triplet-amino acid assignment. The resulting table is compared with the Periodic Table of Chemical Elements (PTCE). As in the PTCE, this CTGC has an initial element - a triplet that encodes graphs with zero number of connected edges. Within each block, vacancies are filled with connectivity edges in two alternative ways, both in rows and in the columns. As we move from the initial block 00 to the final block 11, there is a sequential filling of vacancies for variables x₃x₄: 00, 01, 10, 11. In general, the CTGC can be considered as a periodic system of triplets. Comparison with the previously described variety of tables of the genetic code made it possible to conclude that the CTGC more adequately reflects the properties of the genetic code. Prospects for the possible application of this table are being discussed.