A Periodic Table for Genetic Codes

Abstract

This paper presents a new version of a periodic table for genetic codes using a ‘Leibnitz Number’ as a codon number or anticodon number, which is a natural binary code number and hence outwardly similar to the Gray code binary number. In the obtained periodic table or in the reformed table (a cube-shaped periodic table), the proteinaceous amino acids not only have periodicity, but also occupy mirror-symmetrical positions with respect to the xy-plane. Moreover, the cube-shaped periodic table allows a partial explanation of non-standard genetic codes and some predictions about providing potential candidates for non-standard genetic codons to be discovered in the future. By making a new format of a two-dimensional periodic table for anticodons as the primary reference point, all of the anticodon pairing with multiple codons can be intimately related to a mirror-symmetrical arrangement of amino acids with relation to the yz-plane in the two-dimensional periodic table.