Complex Analytic Landscapes

Complex functions $ f:\mathbb{C}\to\mathbb{C} $ can be visualized by plotting the function $\tilde f: \mathbb{R^2} \to \mathbb{R}$ with $\tilde f(x,y) = |f(x + i y)|$ in 3D. The color of a patch $(x, y, |f(x + i y)|)$ indicates the phase of the complex number $f(x + i y)$.

You can enter your own function $f$ or select one function of the following list:

z z^2 1/z 1/(z^5-1) (z-1)/(z^2+1) sqrt(z) log(z) sin(z) exp(z) sqrt(1-z\*z) tan(z) sin(z+3\*a)/sin(z+i) 1/sin(pi\*a+z^3) 1/sin((z+1)/(z-1)) z^7+z+2 1/(z^round(20\*a-10)-1) z^z log(z^z)/z

Software: CindyJS

Computations are performed on the GPU through CindyGL. User defined input is parsed by Algebrite.

Widget Author:

Aaron Montag