Conformal

> with(plots):
conformal(z^3,z=-1-I..1+I,grid=[100,100]);
conformal(z^2,z=0..2+2*I,grid=[100,100]);
conformal(1/z,z=-1-I..1+I,-6-6*I..6+6*I, color=magenta,grid=[100,100]);
conformal(cos(z),z=0..2*Pi+ Pi*I,grid=[100,100],numxy=[11,11]);
conformal(z^3,z=0..2+2*I,xtickmarks=3,ytickmarks=6,grid=[100,100]);
conformal((2*z-1)/(2-z),z=-2-2*I..2+2*I,-2-2*I..2+2*I,grid=[100,100]);
conformal(z+1/z,z=-3-3*I..3+3*I,-3-3*I..3+3*I,grid=[100,100]);
conformal((z-I)/(z+I),z=-3-3*I..3+3*I,-4-4*I..4+4*I,grid=[130,130],style=LINE);

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

>