sepandhaghighi/samila ? reverse-engineered prompt

Build me a Python package that generates unique abstract art from math formulas.

I want to be able to create an image from two functions, run a generate step, then plot it with matplotlib and show or save the result. It should make lots of different point patterns based on random seeds, but also let me set the seed so I can recreate the same artwork later. Please include a simple default mode that works with no custom functions, plus a way to pass in my own functions if I want more control.

It would be great if I can also choose different plot styles like polar or other map like projections, change the marker shape, rotate the image, and set colors for the points and background. If possible, add a few examples so I can quickly try it out and see how to make different kinds of art. Keep it easy for beginners, and make sure it feels like a small creative tool I can install and use right away.