Conformal Maps
This page demos a conformal map in the complex plane. For a complex number, a+bi, the vertical axis represents b, and the horizontal a.
Below you will see controls for the parameters of the conformal map:
z \mapsto \left(1-a\right)\left(\alpha_0+\alpha_1z+\alpha_2z^2\right) + a\cos\left(\beta_0+\beta_1z+\beta_2z^2\right)
a:
a0:
a1:
a2:
b0:
b1:
b2: