Responding to an open request, the principle of recursive genome function (PRGF) is put forward, effectively reversing two axioms of genomics as we used to know it, prior to the Encyclopedia of DNA Elements Project (ENCODE). The PRGF is based on the reversal of the interlocking but demonstrably invalid central dogma and "Junk DNA" conjectures that slowed down the advance of sound theory of genome function, as far as information science is concerned, for half a century. PRGF illustrates the utility of the class of recursive algorithms as the intrinsic mathematics of post-ENCODE genomics. A specific recursive algorithmic approach to PRGF governing the growth of the Purkinje neuron is sketched, building the structure in a hierarchical manner, starting from primary genomic information packets and in each recursion using auxiliary genomic information packets, cancelled upon perusal. The predictive power of the principle and its experimental support are indicated. It is argued that genomics is no longer an exceptional instance of the applicability of recursion throughout the sciences.