I’M ALIVE. HAVE AN ART DUMP. From top to bottom: Sech(z), real part purple, imaginary part yellow. ArcTan(z^4)+ArcSech(z^2), real part purple, imaginary part green. Csc(z^2)+ArcCot(z^2), real part teal, imaginary part pink. In memory of Dave Grimes. ArcSech(z), real part blue, imaginary part pink. ArcSinh (z^4)+ArcTan (z^2), real part blue, imaginary part yellow. Csch(z^4)+ArcSech(z^2), real part purple, imaginary part teal.
I started drawing math based pictures in primary school after one of my teachers gave me a book that explained the basics of
ruler and compass constructions. This pattern was one of the examples.
Interestingly not all regular polygons can be constructed with ruler and compass. The smallest that is not possible is the heptagon. For these polygons the book explained how to draw them approximately. Since there are small mistakes in a drawing anyway, the approximation is not visible.