As everyone knows, the golden ratio is defined as a rectangle with a ratio of dimensions thus:
where the ratio of sides satisfies the relationship:
yielding a value of phi when the quadratic is solved:
Conveniently, if one bisects the long side of the golden rectangle, it will yield a rectangle with a ratio of 0.8090, which is very close to the actual ratio realized with the real-world image area of a 6x4.5 negative. So it is very close to one half the magical golden ratio. This mysterious constant pops up again and again throughout the worlds of art and science.
I have found that I can keep all of my single-edged razor blades sharp by storing them beneath a pile of 6x4.5 negatives. However, since it only represents half the golden section, I find that I have to store any double edged razor blades beneath my 12x20 negatives, which more closely approximate the full golden ratio. I still cannot figure out which format I should store my bastard files under in order to maintain their optimum sharpness.