This are code based creative pursuits and have been developed mostly on my PC. Feel free to use these as you starting points. This blog beautifully explains what are fractals in general

1. https://georgemdallas.wordpress.com/2014/05/02/what-are-fractals-and-why-should-i-care/
2. MandleBrot - https://www.bowdoin.edu/~dfrancis/askanerd/mandelbrot/
3. Julia set - http://www.alunw.freeuk.com/mandelbrotroom.html