The genetic code exhibits a precise algebraic structure

I show that the (standard) genetic code exhibits a singularly determinate, rich, and beautiful structure. This result comprises the first substantive step in an ongoing projectaiming to devise a formal method (or if you will a ’symbolic language’) adequate to the problem(s) of biological - and specifically of biomolecular - organization. In any case, the procedure I lay out below is self-contained and sraightforward enough for it to be put forward in a cut-and-dry manner, i.e. as a purely formal - not to say technical - result. In particular, I have deliberately refrained from drawing inferences or raising speculations with regard to the biological significance of the sequel. Rather, I content myself with showing that it is highly unlikely that these results are of no biological significance whatsoever. Specifically, I show that the probability that the structure here described is the product of mere chance is several order of magnitude lower than 10^(-17). The question itself, regarding to biological significance and implications of the sequel, will need to be addressed and worked out in the context of the more general method. For now, suffice it if I manage to convince the reader that what we are looking at here is a genuine, and potentially profound, biological puzzle.