Boboritto - Bobo's Scrap Collection

i forgot to post this back when i was going insane (as if i'm not still insane). but. but.

some original art i made after disappearing from the face of the (tumblr) earth

10-5-25

fabriz (qpr) doodles for the soul :3

#sukuita

I've tried to draw the graphs of a function x ↦ x² in ℤ/pℤ for some of prime p's. And the result gives me the feeling like I'm a medieval sage and I'm studying some sort of alchemy :)

Apparently we can see quadratic residues (the numbers which have at least one incoming arrow) and quadratic non-residues (have no incoming arrow). It is a visual representation of a fact that for each prime p there are equal amounts of both, which is (p-1)/2. Also, I could see two structures: cycles and trees, which are always combined and which I am curious to investigate further. Also it's interesting how the number of connected components is related to the number p

It really feels like I gradually unveil the secrets of the universe. The look of my printed paper also gives an impression of an ancient scroll

she yearns for the tub water. disgusting.

really helpful technique ^ once you know how to divide by halves and thirds it makes drawing evenly spaced things in perspective waaay easier: