JCSBimp's Hexagonal Orthogonal

Examining the series of real values of x for which f(x)=x²+2cx+r is a perfect square, when m=c²-r is the number we wish to factor, c is the Ceiling Root, and r is the difference between m and the Ceiling Square, is not evidently any better – and is in fact a slower and unenlightening process – than the current best factorization scheme I’ve formulated based on the Ceiling Square concept.