The discovery of the genetic code was one of the milestone events in biology: a conserved, universal code defining the primary amino acid sequences of all proteins of all organisms. However, this code has been thought to be limited, unable to provide additional information appropriate to defining the three-dimensional structure and function of these proteins. This raises important questions. Can there be more to the genetic code? Is there a code embedded within the code? Does a two-dimensional genetic code exist? In our view, the answer to all three of these questions is a qualified "yes". This review describes how sense and complementary peptides coded for by mutually complementary nucleic acid sequences are capable of interacting specifically, thereby suggesting the existence of a second, two-dimensional genetic code (proteomic code). Theories attempting to explain such specific interactions between sense and complementary peptides are discussed including the Mekler-Idlis (M-I) pair theory that suggests that each codon-directed amino acid residue in a sense peptide may make a specific pair-wise interaction with the corresponding complementary codon-directed residue in the complementary peptide. In effect, through-space interactions between pairs of amino acid residues are suggested as being specified by the genetic code and its complement. The biological implications of sense/complementary peptide interactions are potentially vast but still to be fully understood and appreciated. That such peptide/peptide interactions could provide the basis for understanding and constructing the proteomic code remains to be properly established but research to date suggests that we should be able to make a start in that direction