Conformal map graphics

Images of concentric circles around the origin

Images of concentric circles of radii between and around the origin under the (conformal) map . Large circles are mapped into parallel lines with increasing real parts.

Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map . Circles are split into two parts because of the branch cuts along the imaginary axis.

Images in the ‐plane of concentric circles of radii between and around the origin under the (conformal) map .

Images of radial rays originating from the origin

Images of rays from the origin under the (conformal) map .

Images on the Riemann sphere of rays from the origin under the (conformal) map .

Images of a square grid

Images of a square grid of size under the (conformal) map .

Images of the tessellated Riemann sphere

Images of triangles on the Riemann sphere under the (conformal) map .

Plane to plane map

Curves parametrized by . Points (where ) move smoothly into points .