This is a gallery of some differential slope fields I graphed with a little program I wrote. They can be very interesting. The program is written in C, and can perform whatever mathmatical functions are available to C: addition, subtraction, multiplication, division, exponentiation, trig functions, inverse trig, ln, square and cube roots, and any other functions you may care to program into it.
Although the underlying equation(s) behind each of these images is(are) for the most part elegant, the process of turning them into beautiful curves and swirls is massively computationally intensive - The pictures put up here took between tens of seconds to several minutes to come down my graphical pipeline.
When you click on a function name below, that function's slope field will load. They are grouped by the type of render below. I will be adding these as I stumble upon equations that generate colorful, interesting images and as I am able to crop and encode them as PNGs. Enjoy your stay in math world.
