21.6 images7.input
First we look at the conformal
conformal map
map .
)read conformal Read program for drawing
conformal maps
f z == z The coordinate grid for the
complex plane
conformalDraw(f, -2..2, -2..2, 9, 9, "cartesian") Mapping 1: Source
f z == z + 1/z The map
conformalDraw(f, -2..2, -2..2, 9, 9, "cartesian") Mapping 1: Target
The map maps
the unit disk to the right half-plane, as shown
Riemann:sphere
on the Riemann sphere.
f z == z The unit disk
riemannConformalDraw(f,0.1..0.99,0..2*%pi,7,11,"polar") Mapping 2: Source
f z == -(z+1)/(z-1) The map
riemannConformalDraw(f,0.1..0.99,0..2*%pi,7,11,"polar") Mapping 2: Target
riemannSphereDraw(-4..4, -4..4, 7, 7, "cartesian") Riemann Sphere Mapping