In this light, a perusal of the representative patterns of conserved gene sequences appears to indicate a possible relationship between the numbers of the various nucleotides in conserved gene sequences. Here we use the 2D graphical representation method to show that plots of the conserved gene sequences trace out apparently curved paths that are also visually similar across species for the same gene. The nature of these curves is seen to generally imply a so far undescribed quadratic relationship between intra-purine and intra-pyrimidine differences, whereas the null hypothesis would have indicated random directionless walks. With such empirical relationship between the two basic nucleotide differences, we propose a probable mutation path to explaining the relationships. We then hypothesize that the parameters of such relationships could be a property of the underlying gene sequences and speculate that extensive alterations of such genes by accretion or deletion of DNA fragments would be s only if the modified sequences subscribe to the same basic parameterised relation.