Images of concentric circles around the origin Images of concentric circles of radii between and around the origin under the (conformal) map . The curves of small radii concentrate around the point . Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map . The curves of small radii concentrate around the point on the equator. Images in the ‐plane of concentric circles of radii between and around the origin under the (conformal) map . The curves of small radius concentrate around the point . 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 . The two accumulation points of curves are 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 .
