About geometric patterns bringing forth life, there's actually a documented real-life example of something like this. Check out how mathematical fractals are actually everywhere in the biological world, it's pretty crazy.

I see the Arcanist and, by extension, its Jobs as having magicks that utilize aether and a similar fractal principle. By inducing fractals or modifying them, the spells they weave create very specific kinds of life or phenomenon. These can either be harmful, like short-lived bacteria that eat away at the limbs of an enemy, or helpful like the Scholar's spells. Of particular interest here is that when casting a Scholar spell, the patterns around your grimoire actually look very fractal in design.

The fact that both stem from the same class, Arcanist, implies that the two applications of horrifying consumption and soothing healing arts derive from a single equation. Perhaps then this is why we see the same pattern recurrant in the pages of the grimoires- the base, if you will, for the more complex equations it branches off into in the jobs