Images of concentric circles around the origin Images of concentric circles of radii between and around the origin under the (conformal) map . Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map . 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 . The curves in the right graphic wind around the points . 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 . The image of the lines of constant real part accumuate round the points . 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 .
