Press space to change the equation. (Might take a bit, just wait) Equations (in order): w = sin(z) w = z^4 + 2i w = exp(1/z) w = ((z^2 + 1)^2)/(z^5 + z) w = ((z^2 - 1)(z - 2 - i)^2)/(z^2 + 2 + 2i) w = z^8 + z^6 - z^3 + z^2 - z w = ((z^2 + 2)^2 * (z^3 - 1 + 2i)^2)/(z^2 - 2 - i) w = sin(2z - i)/(z^2 + 1) w = (((z - i)^2 - 1)(z+2) + 1/2)/(2(z - 1)^2 + 1) w = (((z - 2i)^4)/z) - 2 + i w = ((z^7 - 1)(z - 1) - 1 - 2i)/(z^7 + 2)
Domain Coloring is a way of visualizing complex functions. It uses arg(z) for the hue and the decimal part of log2(z) for the shade. For further explanation: https://en.wikipedia.org/wiki/Domain_coloring http://users.mai.liu.se/hanlu09/complex/domain_coloring.html