Images of concentric circles around the origin Images of concentric circles of radii between and around the origin under the (conformal) map . The red center of the right half of the image is the point , and the left cusp of the violet teardrop‐shaped curve is the point . 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 . The red center of the right half of the image is the point . Images of radial rays originating from the origin Images of rays from the origin under the (conformal) map . The curves cluster around the points 0 and 1. 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 . Asymptotically, points are mapped to the two 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 .
