I wanted to implement a mandlebrot set. I chose Lua and Love2d, because I like coding in Lua, and Love2d makes graphics less of a headache than something like SDL2 for a quick project like this.
In order to run the project, you will have to download Love2d. Once it is installed, use love.exe to open the src file. Alternatively, you can compress miain.lua, mandlebrot.lua and conf.lua into a zip file and change the extension to .love, which should allow you to automatically run it with love.exe.
At some point I might go ahead and put prebuilt executables in the releases tab.
You can change screen resolution, maximum number of iterations, and the soom factor by modifying the corresponding values at the top of main.lua. If you want to explore the julia set, change the function on line 79 of main.lua to Eval_Julia. You can modify the values of a and b in the definition of Eval_Julia to view the julia set at different definitions of c.