Images of concentric circles around the origin Images of concentric circles of radii between and around the origin under the (conformal) map . All circles are mapped into the right half‐plane. Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map . Circles are split because of the branch cut 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 .
